NEW: Barack Obama's Forged LFBC Report - By Mara Zebest - July 18th, 2012

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RG^JRT < BARALH JBAOA0 CJKF EJRO BIRTM LGRTIEILATG0 Bitoa~ Caygr akd Ljcjr Attribwtg| by Oara Pgbg|t 

Transcript of NEW: Barack Obama's Forged LFBC Report - By Mara Zebest - July 18th, 2012

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RG^JRT <BARALH JBAOA0 CJKF EJRO BIRTM LGRTIEILATG

Bitoa~ Caygr akd Ljcjr Attribwtg

by Oara Pgbg

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RG^JRT BARALH JBAOA0 CJKF EJRO BIRTM LGRTIEILATG ^afg < je 12

ifwrg®10 Digrgkt ljcjr uacwg| ik tg}t

Darh frggk tg}t ljcjrOgdiwo frggk tg}t ljcjr

ifwrg®20  Tmg dglg~tiug ljcjr uacwg| ik Jbaoa’| ^DE

Dglg~tiug frggk tg}t ljcjr

Dglg~tiug vmitg ljcjr djt|

ifwrg®<0 Altwac 1/bit wkdgrcyikf bcalh ljcjr uacwg|

Tmg rgac 1/bit bcalh tg}t ljcjr

Tmg rgac 1/bit bcalh ljcjr djt|

Iktrjdwltijk

I# Oara Pgbg|t# ao ~rg~arikf tmi| rg~jrt a| ak w~datg tj ~rguij

rg~jrt oatgriac rgfardikf kgvcy di|ljugrgd attribwtg| j Jbao

^DE cjkf jro birtm lgrtilatg cg+

Ik ~rguijw| rg~jrt|# tmg jrifikac jb|gruatijk j ljcjr uacwg

digrgklg| bgtvggk datg| akd tg}t vgrg ljrrglt# bwt ikitiac

tmgjrig| jgrgd tj alljwkt jr tmg ljcjr digrgklg| kggd tj bg

rgui|itgd ik cifmt j wrtmgr g}aoikatijk+

Eifwrg®1 di|~cay| ak g}ao~cg j jkg ik|taklg j ljcjr

ikljk|i|tgklig| vitmik tmg difitac cg+ Kjtilg tmat bjtm tg}t ljcj

uacwg| di|~caygd ik Eifwrg®1 arg frggk ljcjr uacwg|—kjt bcalh

Bjtm Ljcjr ~akgc uacwg| arg ~rjuidgd ik tmg Eifwrg tj dgojk|t

a ~attgrk ik vmilm tmg Rgd akd Bcwg uacwg| arg |ioicar -a gv dif

a~art)# vmicg tmg Frggk uacwg i| |trjkfgr—tmw| tmg frggki|m tik

tj acc tmg ljcjr|+ At r|t fcaklg# kj trwg bcalh a~~gar| tj g}i|t ik

Jbaoa’| ̂ DE cg+ Bwt kjtmikf ljwcd bg wrtmgr rjo tmg trwtm+

Eifwrg®2 jgr| a lcj|g/w~ j tmrgg caygr g}ao~cg| ik vmilm jkg

caygr ljktaik| vmat a~~gar| a| j/vmitg ljcjr djt|# akd tvj jt

caygr| ljktaik |cifmtcy uaryikf frggki|m/fray ljcjr| jr tmg datg

rgfi|trar tg}t+

Eifwrg®< jgr| tmg |aog lcj|g/w~ rgugacikf tmg trwg ljcjr

attribwtg| j tmg caygr ljktgkt+ Tmi| middgk bcalh ljcjr ~rjug| t

~jikt0 Tmg bg|t midikf ~calg i| ik ~caik |ifmt +

Vmat djg| acc tmi| ogak:

It vicc |jjk bgljog lcgar tmat gugk ljcjr uacwg| ik tmg ^DE cg

dglg~tiug+ Tmg rg~jrt vicc g}~cjrg mjv tmg ljcjr| arg iccw|jry ak

ac|j oahg it a~~argkt tmat tmi| cgugc j oi|rg~rg|gktatijk djg|

jllwr tmrjwfm kjroac djlwogkt ~rjlg||g|—it jllwr| tmrjwfm

ioafg oaki~wcatijk+

 Tmg jugracc fjac j tmi| rg~jrt vicc bg tj guacwatg akd g}~caik tmjccjvikf ljklg~t|0

 Brigy dgkg tmg tvj oj|t ljoojkcy w|gd ljcjr ojdgc|0

akd LOYH 

 Mjv tj rgljfkipg ~wrg bcalh# vmitg# akd fray|lacg ljcjr ua

by guacwatikf tmg kwobgr| ik gitmgr ljcjr ojdgc -RFB jr

LOYH)

 Mjv tj rgljfkipg 1/bit -IoafgOa|h trwg) caygr attribwtg|—

ogakikf caygr| tmat ljktaik jkg ljcjr jkcy —bcalh 

 Mjv tj rgljfkipg =/bit -Ljcjr\~alg) caygr attribwtg|—oga

caygr| la~abcg j ljktaikikf ojrg tmak jkg ljcjr

 J~tioipgd caygr| brigy rgui|itgd akd guacwatgd tj dgtgroii akd vmgk j~tioipatijk vicc ~rjdwlg caygr| acjkf vitm tmg

~attgrk| j j~tioipgd caygr| u oakwaltwrgd caygr|

 Ljo~arg 1/bit u =/bit caygr ~attgrk| ik ak awtjoatgd ~rjl

-|wlm a| j~tioipatijk) afaik|t tmg ~attgrk di|~caygd ik Jba

^DE cg

 G}aoikg mjv owcti~cg 1/bit caygr| -bcalh ljcjr jkcy) lak bg

oakwaltwrgd vitmik Jbaoa’| ̂ DE cg—akd mjv a bcalh l

uacwg -jk a 1/bit caygr) i| rg~rg|gktgd a| a ljcjr jtmgr tmak b

 Dgkg ̂ DE ~riktikf |gttikf| rjo Iccw|tratjr akd ̂ rguigv ik

jbtaikikf a cjv cg |ipg akd attribwtg| |ggk ik Jbaoa’| ̂ D

ogtadata akd jb`glt ljdg

 Rwcg jwt ORL ljo~rg||ijk a| a altjr ik g}~caikikf caygr|

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RG^JRT BARALH JBAOA0 CJKF EJRO BIRTM LGRTIEILATG ^afg 4 je 12

ifwrg®70 A H uacwg |ifkac| a ~wrg fray|lacg ljcjr uacwg

H uacwg <+7<'

Caygr 1 ljcjr uacwg |ao~cgd

Ljcjr ogkw bwttjk

ifwrg®50  Tmg RFB j/vmitg ljcjr uacwg kwobgr|

Acc tmrgg RFBuacwg| |gt tj 245

Caygr 1 ljcjr uacwg |ao~cgd

ifwrg®40 RFB fray|lacg ljcjr uacwg ~attgrk| u kjk/fray|lacg

Mard tj dgtgroikg a ~attgrk jr

kjk/fray|lacg ljcjr| -i+g+ twrqwji|g)

Acc tmrgg uacwg| arg > jr bcalh 

Acc tmrgg uacwg| arg 277 jr vmitg

Acc tmrgg uacwg| arg 12= jr 7>' fray

Ljcjr Uacwg| by tmg Kwobgr|

Vmgk guacwatikf ljcjr vitmik a difitac cg# it mgc~| tj wkdgr|tak

mjv tj guacwatg by tmg kwobgr|+ Ik jrdgr tj wkdgr|takd vmat t

kwobgr| ogak# a brig g}~cakatijk j tmg tvj oj|t ljoojkcy

w|gd ljcjr ojdgc| oifmt mgc~ at tmi| ~jikt0

 RFB0 I| ak additiug dguilg‑dg~gkdgkt ljcjr ojdgc ty~ilaccy

w|gd by difitac laogra|# |lakkgr|# ljo~wtgr ojkitjr|# akdjtmgr ioafg dguilg|+ R?Rgd# F?Frggk# akd B?Bcwg+ Galm j

tmg|g ljo~jkgkt| vicc ljktaik a kwogril uacwg bgtvggk >

277+ Tmg RFB ljcjr ojdgc i| ~rggrrgd jr ioafg cg| uigvg

a ojkitjr# |wlm a| vgb|itg ioafg| jr ~mjtj| |margd uia g/o

 LOYH0 I| a |wbtraltiug ljcjr ojdgc ty~ilaccy wticipgd ik tmg

~rjg||ijkac ~riktikf ikdw|try+ Tmg LOYH ljcjr ojdgc oga|

ljcjr uacwg w|ikf tmg ~grlgktafg j galm j tmg jwr ikh lj

tj ~rjdwlg tmg dg|irgd ljo~j|itg ljcjr0 L ? Lyak# O?Oaf

Y?Ygccjv# akd H rg~rg|gkt| tmg ~grlgktafg j bcalh+

^wrg Fray|lacg ^attgrk|

Lmaklg| arg |cio tmat tmg augrafg ~gr|jk vjwcd hkjv tmg kwoljobikatijk jr lrgatikf oj|t ljcjr uacwg|+ Ejr g}ao~cg# i a|h

tmg kwogril uacwg| jr a twrqwji|g ljcjr -ik gitmgr ljcjr ojdgc8

RFB jr LOYH)—it i| rarg tmat tmj|g kwobgr| arg ga|icy rgtrigug

vitmjwt cjjhikf at a ljcjr ~akgc+ Mjvgugr# fray|lacg ljcjr| arg

g}lg~tijk tj tmat rwcg akd ga|igr tj dgtgroikg jk tmg y+ Tmgrg’

ugry |io~cg ~attgrk jr gitmgr ljcjr ojdgc# vmgk guacwatikf vm

bcalh# jr aky fray|lacg uacwg ik bgtvggk+

Eifwrg®4 dgojk|tratg| a twrqwji|g -kjk/fray|lacg ljcjr) ljo~

tj tmg ~attgrk jr RFB fray|lacg uacwg| ik vmilm acc tmrgg uacwg

bg tmg |aog -wkcihg tmg kjk/fray|lacg ljcjr|)+ Bcalh i| rg~rg|gk

by > -tmg cjvg|t uacwg) jr acc tmrgg ljo~jkgkt|+ Vmitg vicc di|~

277 -tmg oa}iowo uacwg) jr acc tmrgg ljo~jkgkt|# akd fray|li| aky uacwg ik bgtvggk -jr acc tmrgg ljo~jkgkt|)+ Mac j 277 l

bg rjwkdgd w~ tj 12=# tmw| 7>' fray lak bg rg~rg|gktgd by w|

12= jr acc tmrgg uacwg| -R# F# akd B)+

Ik Iccw|tratjr # tmg Ljcjr ~akgc vicc ty~ilaccy dgawct tj di|~cayikf

|ao~cgd fray|lacg ljcjr a| a H ~grlgktafg ljo~jkgkt -rjo tm

LOYH ojdgc)+ Vmitg i| rg~rg|gktgd by >' -jr tmg ab|gklg j ak

bcalh)+ Ljkugr|gcy# 1>>' vjwcd bg bcalh akd aky ~grlgktafg ik

bgtvggk i| a fray|lacg uacwg+

 Tmg kg}t tvj Eifwrg| vicc |ao~cg tmg ljcjr uacwg jwkd jk Cayg

rjo Jbaoa’| ^DE cg |iklg tmi| i| jkg j tmg rarg g}ao~cg| ik

vmilm a ~wrg fray|lacg uacwg lak bg jwkd qwilhcy vitmik Jbao

^DE cg+Vmgk tmg ljcjr jk Caygr®1 i| r|t |ao~cgd# Iccw|tratjr vicc dgaw

tj di|~cay tmg rg|wct a| a H ljo~jkgkt—ik tmi| la|g# a ~grlgkta

uacwg j <+7<' -a| |mjvk ik Eifwrg®7)+

 Tj |gg tmg RFB gqwiuacgkt# lcilh tmg Ljcjr ~akgc ogkw bwttjk 

|ggk ik Eifwrg®7 tj lmakfg ljcjr ojdgc|+ Lcilh \mjv J~tijk|

auaicabcg# akd tmgk lcilh tmg ogkw bwttjk afaik akd lmjj|g tm

RFB j~tijk rjo tmg ~akgc ogkw+ Tmg <+7<' H uacwg i| ljkugrt

tj tmg RFB gqwiuacgkt j R?245# F?245# B?245 -a| |ggk ik

Eifwrg®5)—vmilm i| ljk|i|tgkt vitm tmg ~wrg RFB fray|lacg ~a

dg|lribgd+ Additijkaccy# tmg 245 uacwg i| lcj|gr tj tmg oa}iowo

kwogril uacwg rakfg j 277 -w|gd jr vmitg)# tmw| tmg 245 uacwg

kwogrilaccy ljk|i|tgkt jr ak j‑vmitg ljcjr+

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RG^JRT BARALH JBAOA0 CJKF EJRO BIRTM LGRTIEILATG ^afg 7 je 12

ifwrg®60 Caygr jrdgr akd caygr ljktgkt

Caygr 10 Vmitg djt|

Caygr 20 Vmitg djt| Caygr <0 –Kjk‟

Caygr 40 –AWF / = 195‟

Caygr 70 –AWF / = 5‟

Caygr 50 Datg \tao~

Caygr 60 Rgfi|trar \tao~

Caygr =0 Ejro tg}t

Caygr 90 \agty/~a~gr balhfrjwkd

akd akti/acia|gd jro gcgogkt|

ifwrg®=0 Eir|t gifmt -1/bit) caygr| di|~cay| jkcy jkg ljcjr uacwg galm

1

2

<

47

5

6

=

ifwrg®90 Owcti~cg ljcjr uacwg| vicc di|~cay jk ca|t -=/bit) caygr

Caygr 9 i| a ljcjr0 =/bit caygr—owcti/ljcjr 

A \io~cg Gygdrj~~gr Tg|t

Eifwrg®6 rgui|it| tmg ~j|itijkikf j galm caygr kwobgr akd tmg c

ljktgkt+ Arogd vitm a bgttgr ik|ifmt iktj rgljfkipikf fray|lacg

ljcjr uacwg ~attgrk| -rjo tmg Ljcjr ~akgc)# it bgljog| ~aikwccy

jbuijw| -w~jk j~gkikf Jbaoa’| ̂ DE)# tmat ~wrg fray|lacg uacw

arg mard tj kd vitmik tmg cg+

 Tmgrg’| akjtmgr jdd bgmauijr tmat lak bg jb|grugd vmgk |ao~ljcjr uacwg|+ It ma| tj dj vitm a bitoa~ -jr 1/bit) attribwtg jwk

ik tmg r|t gifmt caygr|+ Tmi| oay bg a fjjd tiog tj dgkg tmg tv

ty~g| j caygr lmaraltgri|til| ljktaikgd akd ugrigd by jb`glt l

vitmik Jbaoa’| ^DE cg—bitoa~ -1/bit) u ljcjr -=/bit)0

 A bitoa~ -jr 1/bit IoafgOa|h trwg) caygr i| |io~cy a caygr tm

ljktaik| jkcy jkg ljcjr —bcalh 

 A ljcjr -jr =/bit Ljcjr\~alg) caygr i| a caygr tmat lak ljktaik

owcti~cg ljcjr uacwg| -ojrg tmak jkg ljcjr)

By dgkitijk# ak IoafgOa|h trwg 1/bit caygr ljktaik| a |ikfcg lj

j bcalh + Vmgk g}aoikikf tmg 1/bit caygr ljcjr uacwg| ik Jbaoa

^DE# tmg rg|wct| dj kjt rg~rg|gkt a bcalh ljcjr uacwg+ Tmg r|t

j/vmitg djt caygr ljktaik| a fray|lacg ljcjr uacwg# bwt it i| lcj|tj vmitg -kjt bcalh)+ Tmg 1/bit caygr| ik Jbaoa’| cg dj admgrg t

tmg jkg ljcjr rwcg bwt dgy tmg rwcg j di|~cayikf a bcalh ljcjr u

 Tmg oy|tgry dgg~gk| vitm tmg alt tmat tmgrg arg gifmt caygr| v

1/bit attribwtg+ A cg tmat ma| caygr| uia j~tioipatijk vicc jkcy ma

a |ikfcg 1‑bit caygr —kjt gifmt -j~tioipatijk vicc bg g}aoikgd o

lcj|gcy ik tmg kg}t |gltijk j tmi| rg~jrt)+

 Try tmi| g}~griogkt tj qwilhcy dgtgroikg i a caygr i| a trwg 1/bit

=/bit caygr0 J~gk tmg Jbaoa ^DE cg ik I ccw|tratjr akd lmjj|g t

Gygdrj~~gr tjjc+ Tj ~grjro tmg g}~griogkt# oahg |wrg kjtmikf

|gcgltgd8 jtmgrvi|g tmg Gygdrj~~gr tjjc vicc ikadugrtgktcy lmakf

tmg ljcjr j a |gcgltgd jb`glt dwrikf tmg g}~griogkt+

I kjtmikf i| |gcgltgd# Iccw|tratjr vicc |ticc di|~cay a ui|wac lcwg tj

jb`glt’| bjwkdary bj} cjlatijk vmgkgugr tmg Gygdrj~~gr tjjc i|

mjugrgd jugr tmg jb`glt—tmg|g arg tmg bcwg jwtcikg| |wrrjwkd

galm caygr jb`glt a| |ggk ik Eifwrg|®6 akd =+ I tmi| gatwrg i| kj

twrkgd jk# fj tj tmg Gdit®ogkw®;®^rggrgklg|®;®\oart Fwidg|

oahg |wrg tmg j~tijk i| lmglhgd jr Jb`glt®Mifmcifmtikf+

Vitm kj jb`glt| |gcgltgd# mjugr jugr aky j tmg r|t gifmt caygr

jb`glt| vitm tmg Gygdrj~~gr tjjc# akd lcilh akyvmgrg ik|idg tmg

caygr jb`glt’| bjwkdary bj}+ Eifwrg®= |mjv| tmg cjlatijk j gal

jb`glt akd tmg ljcjr uacwg| tmat vicc di|~cay jr galm j tmg r|t

gifmt caygr|+ Ejr tmg ~wr~j|g j ga|y uigvikf# Eifwrg®= ac|j ma|

|agty/~a~gr caygr twrkgd j—bwt it i| ~rggrabcg tj cgaug acc tm

caygr| jk vmgk ~grjroikf tmi| tg|t+ I tmg caygr i| a 1/bit caygr# t|aog ljcjr—jkg ljcjr uacwg a||ifkgd tj tmg caygr—vicc di|~cay

tmg Ljcjr ~akgc rgfardcg|| j vmgrg tmg Gygdrj~~gr  i| lcilhgd v

tmat |aog bjwkdary bj}+ Tmi| bgmauijr jkcy jllwr| jr tmg tj~ g

caygr|+ Gugk vmgk tmg Gygdrj~~gr tjjc i| lcilhgd jugr a ljcjr tma

lcgarcy digrgkt rjo akjtmgr ljcjr vitmik tmg jb`glt bj} arga—

|aog a||ifkgd ljcjr uacwg vicc ljk|i|tgktcy di|~cay ik tmg Ljcjr  

~akgc—tmi| i| g}~gltgd bgmauijr j caygr| vitm 1/bit -IoafgOa

trwg) ~rj~grtig|+

Kjv ljktra|t tmg bgmauijr jr tmg ca|t caygr -|agty/~a~gr caygr)

Lcilh akyvmgrg—avay rjo tmg 1/bit jb`glt| -jr twrk tmgo j

|ggk ik Eifwrg®9)+ A uarigty j ljcjr| vicc di|~cay dg~gkdikf vm

tmg Gygdrj~~gr tjjc i| lcilhgd—tmi| i| tmg g}~gltgd bgmauijr j =/bit ljcjr caygr+

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RG^JRT BARALH JBAOA0 CJKF EJRO BIRTM LGRTIEILATG ^afg 5 je 12

ifwrg®1>0 J~tioipatijk/~rjdwlgd caygr| a~~cigd tj A^ cg

Oa||iug kwobgr j ljcjr caygr|Kj cjfil tj caygr

jb`glt dgli|ijk|

\lrjcc bj}

Jkg bitoa~ caygr at tj~

ifwrg®110 J~tioipgd caygr| rakdjocy diuidg ioafg ikjroatijk

\jog caygr| rgkaogd tj mifmcifmt rakdjo

jrfakipatijk j rgfi|trar tg}t caygr|

Rakdjocy diuidgd tg}t jktj caygr|

Bcwg |qwarg ikdilatg| a |gcgltgd caygr

ifwrg®120 Caygr| ~akgc di|~cay| ty~ilac j~tioipgd caygr ~attgrk

Rgoaikikf caygr| arg ljcjr -=/bit)

Jkcy jkg bitoa~ -1/bit) caygr

J~tioipatijk Caygr ^attgrk|

A dgtjwr tj di|lw|| j~tioipatijk i| kggdgd+ J~tioipatijk rggr|

tmg ~rjlg|| w|gd vmgk |auikf a cg -ik tmi| la|g a| a ^DE) ik vm

ioafg qwacity i| attgo~tgd tj bg oaiktaikgd -jr j~tioipgd ) vm

cjvgrikf tmg cg |ipg+ Attgo~t| arg oadg tj g}~caik tmg ~rg|gk

caygr| by w|ikf ak j~tioipatijk arfwogkt—bwt tmg j~tioipatij

g}lw|g aic|—jk owcti~cg cgugc|+ Dg|~itg gjrt| tj lcaio jtmgrv

tmg caygr| ik Jbaoa’| ^DE arg a bif dgac tj ~rjug oaki~wcatijk

It i| mifmcy rgljoogkdgd tj rguigv ~afg 7 j oy ~rguijw| rg~j

-rgcga|gd jk Oarlm 1# 2>12) tmrjwfm tmg Oarilj~a Ljwkty

\mgri’| Jelg# vmilm brigy g}~caik| tmg digrgklg bgtvggk

caygr| ~rjdwlgd by oakwaccy oaki~wcatijk a| j~~j|gd tj tmj|

~rjdwlgd by ak awtjoatgd j~tioipgd ~rjlg||+ Tmg rg~jrt lak

djvkcjadgd rjo tmg jccjvikf cikh0

mtt~0**vvv+ol|j+jrf*OwctiOgdia*^rg||Rgcga|g*OARAPGBG\TRG^JR

 Tj g}~akd jk tmg cikhgd rg~jrt# jkg itgo kggd| lcarielatijk+ Vmicg

it i| trwg tmat j~tioipatijk lak law|g caygr|—kjt acc  j~tioipgd 

^DE ecg| lrgatg awtjoatgd caygr|+ Tmi| i| a lrwliac ljklg~t+ Tj

rg|tatg tmg ~jikt0 J~tioipatijk jkcy lrgatg| caygr| rjo |~glil

|jtvarg ~rjfrao|—kjt acc ~rjfrao| ~rjdwlg awtjoatgd cayg

vmgk j~tioipikf+ ̂ rj~jkgkt| j tmg j~tioipatijk arfwogkt v

maug yjw bgcigug tmat caygr| arg ga|icy akd acvay| fgkgratgd v

|io~cy |auikf a| ak j~tioipgd ^DE cg—kjt trwg! Alrjbat ^rj

tmg oj|t ljoojkcy w|gd ~rjfrao tmat lak ~rjdwlg awtjoatg

caygr| vmgk j~tioipikf a| a ^DE -bwt tmi| i| |ticc dg~gkdgkt jk

ogtmjd akd j~tijk| w|gd)+

^rjfrao| cihg ^mjtj|mj~ jr Iccw|tratjr dj kjt ~rjdwlg awtjoa

caygr|—tmg|g ~rjfrao| jkcy rgglt caygr| tmat arg difitaccy

oakwaltwrgd by tmg w|gr akd vicc kjt fgkgratg aky additijkac

caygr| vmgk j~tioipikf a| a ^DE+ Ik alt# ak j~tioipgd ̂ DE rjo

^mjtj|mj~ w|waccy rg|wct| ik a attgkgd cg vitm jkg caygr jkcy

Mgrg’| ak additijkac ~rjbcgo jr tmg j~tioipatijk arfwogkt0 T

ogtadata ljdg jr Jbaoa’| ^DE |tatg| tmat ^rguigv  va| w|gd tj

fgkgratg tmg j~tioipgd ^DE+ ^rguigv i| a Oal/ba|gd ~rjfrao

-w|ikf a Qwartp ̂ DELjktg}t gkfikg)+ Tmg ~rjfrao ̂ rguigv# |io

tj Iccw|tratjr# vicc oaiktaik g}i|tikf caygr| lrgatgd by tmg w|gr# b

vicc kjt fgkgratg caygr| tmat dj kjt acrgady   ~rg‑g}i|t ik tmg cg+

Eifwrg|®1>“12 w|gd tmg A^ ugr|ijk j Jbaoa’| CEBL a| a tg|t

tj j~tioipg vitmik Alrjbat ̂ rj 9+> tj dgojk|tratg awtjoatgd

~attgrk|+ Eifwrg®1> |mjv| tmg oa||iug kwobgr| j caygr| ty~il

fgkgratgd ik ak j~tioipgd ^DE -ljo~argd tj tmg kikg caygr| ik

Jbaoa’| ^DE cg)+

Eifwrg®11 i| a lcj|g/w~ j mjv tmg rgfi|trar |tao~ i| diuidgd jk

owcti~cg caygr|—lwt iktj rakdjo rgltakfcg|+ Tg}t i| lmj~~gdma~mapardcy alrj|| caygr| vmilm jtgk ljktaik |wrrjwkdikf

balhfrjwkd ljcjr|+ Tmg tg}t lakkjt bg rgcjlatgd ikdg~gkdgkt

j tmg balhfrjwkd ioafg+ Additijkaccy# tg}t i| kjt ik jkg ~iglg

By ljktra|t# Jbaoa’| ̂ DE ma| iktgccifgklg tj tmg caygr jrdgr0 Tm

balhfrjwkd ioafg i| ljo~cgtgcy ljktaikgd jk jkg caygr akd a

rgoaikikf caygr| arg ikdg~gkdgkt j tmg balhfrjwkd+

Eifwrg®12 iccw|tratg| tmg ty~ilac 1‑bit u =‑bit ~attgrk rg|wct| j 

j~tioipgd ̂ DE caygr|0

 A |ikfcg 1‑bit caygr at tmg tj~ j tmg caygr |talh— ljktaikik

tmg bcalh ljcjr XJbaoa’| ^DE ma| gifmt# kj ui|ibcg bcalh _

 Acc rgoaikikf caygr| arg ljcjr caygr| -=‑bit ) ljktaikikf a uarij ljcjr uacwg| XJbaoa’| ^DE ma| jkcy jkg ljcjr caygr _

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RG^JRT BARALH JBAOA0 CJKF EJRO BIRTM LGRTIEILATG ^afg 6 je 12

ifwrg®170 Jb`glt ljdg g}traltgd jr j~tioipgd cg caygr|

Eir|t caygr0 1/bit—1 ljcjr 

Acc rgoaikikf caygr|0 =/bit—owcti/ljcjr 

ifwrg®140 Jb`glt ljdg g}traltgd jr Jbaoa ^DE caygr|

Eir|t = caygr|0 1/bit—1 ljcjr 

Ca|t caygr0 =/bit—owcti/ljcjr 

ifwrg®1<0 Ogtadata ljdg jgr| Oal akd ̂ rguigv ikjroatijk

Lrgatjr Tjjc0 ̂ rguigv

Oal w|ikf ̂ rguigv Qwartp

^DELjktg}t Gkfikg

Lcilh tj g}~akd jcdgr ikjroatijk

Aduaklgd Tab

Jb`glt Ljdg 1/Bit u =/Bit Caygr ^attgrk|

 Tmg ogtadata akd jb`glt ljdg vicc bg g}aoikgd ik tmi| |gltijk

rgikjrlg vmat ma| bggk di|lw||gd+ Eifwrg®1< ogtadata lak bg

uigvgd by j~gkikf Jbaoa’| ̂ DE cg ik Iccw|tratjr akd tmgk0

 Fj tj tmg Eicg ogkw ; Eicg Ikj

 \lrjcc tj cjlatg tmg Aduaklgd tab# lcilh tj g}~akd acc jcdgr

ikjroatijk Tmg ogtadata |ggk ik Eifwrg®1< ljkro| tmg Oal ~rjfrao—

^rguigv —va| w|gd+ ^rguigv i| a ~rjfrao tmat i| cioitgd ik vma

lak dj—oj|tcy w|gd tj uigv cg| -a| it| kaog |wffg|t|)+ ^rguig

lak j~gk aky ~rjfrao cg ty~g—akd it va| w|gd a| a ca|t |tg~

tj |aug Jbaoa’| cg -a| ak j~tioipgd ̂ DE)+ By rg|auikf vitmik

^rguigv# aky ~rguijw| g}i|tikf ogtadata mi|tjry i| gcioikatgd a

rg~calgd vitm ̂ rguigv ogtadata+ Ik jtmgr vjrd|# tmg ogrg alt

^rguigv i| tmg jkcy ~rjfrao di|~caygd ik tmg ogtadata djg| kj

ogak ̂ rguigv va| tmg jkcy ~rjfrao w|gd ik tmg lrgatijk ~rjlg

Rg|auikf a cg -tj ̂ DE) rjo vitmik ̂ rguigv vicc rgojug aky ~r

ogtadata guidgklg+ Tmg difitac traic j ioafg oaki~wcatijk rjo

~rguijw| ~rjfrao| i| fjkg akd aky ~rijr ogtadata ikjroatijk

kj cjkfgr auaicabcg+ Akd a| ogktijkgd jk tmg ~rguijw| ~afg# k

additijkac caygr| arg fgkgratgd rjo vitmik ̂ rguigv bgyjkd tm

~rg/g}i|tikf caygr| lrgatgd ~rijr tj j~gkikf tmg cg ik ̂ rguigv+

caygr| mad tj ljog rjo akjtmgr ~rjfrao+

Ik additijk tj ogtadata# tmg jb`glt ljdg lak bg uigvgd ga|icy

by j~gkikf Jbaoa’| ^DE cg vitm Vjrd^ad jr Vjrd + Tmg|g tg}t

gditikf ~rjfrao| lak ~rjuidg a fcio~|g iktj tmg jb`glt ljdg

dg|lri~tijk j caygr ~rj~grtig|+ ̂ rg|| Ltrc(E tj di|~cay tmg Eikd  

diacjf bj} akd dj a |garlm jr Bit|^gr -kj |~alg) tj kd tmg cay

jb`glt ljdg+ Eifwrg®14 di|~cay| tmg Jbaoa ^DE jb`glt ljdg j

galm caygr -g}traltgd akd ~a|tgd iktj a kgv Vjrd djlwogkt j

lcgakgr uigv)+

A| a |idg kjtg# at tmg gkd j galm ljdg cikg# kjtilg tmat EcatgDg

i| w|gd jr tmg r|t = caygr|# vmicg DLTDgljdg i| w|gd jr tmg ca|

ljcjr caygr+ Tmi| vicc bg di|lw||gd catgr ik tmg rg~jrt rgfardikf

~riktikf j~tijk|—bwt i| ogrgcy ogktijkgd tj dgbwkh ak

arfwogkt jatgd vmilm lcaio| tmg @BIF2 cg jroat ~caygd a rj

ik ~rjdwlikf caygr|+ I tmg @BIF2 arfwogkt vgrg trwg# tmg jb`glt

ljdg vjwcd rgglt @BIF2Dgljdg jr aky j tmg kikg caygr|+ A| yj

lak |gg—it djg| kjt + Additijkaccy# @BIF2 a~~cig| tj bcalh akd v

ioafg|—kjt ljcjr+

Eifwrg®14 ac|j ljkro| tmat tmg r|t = caygr| j ljdg -~rg|gktg

kj ~artilwcar jrdgr) acc ljktaik 1/bit caygr ikjroatijk# akd jkcy

kiktm caygr ljktaik| ljcjr -jr =/bit) ikjroatijk+

Ik ljktra|t# Eifwrg®17 rgglt| a |ao~cikf j tmg caygr jb`glt ljrjo tmg A^ ugr|ijk -j~tioipgd rjo ~rguijw| ~afg)+ Tmg jb`gl

ljdg i| tjj kwogrjw| tj g}tralt jr acc tmg caygr| ik tmg Eifwrg#

tmg ~attgrk i| ui|ibcg ik tmi| j~tioipgd cg a| jccjv|0

 JKG 1/bit -bcalh ljcjr uacwg) caygr

 Acc rgoaikikf jb`glt ljdg caygr| arg =/bit -ljcjr) ljktaikikf

ljobikatijk j rgoaikikf ioafg itgo| -|wlm a| tg}t# jro

akd balhfrjwkd)

Eifwrg®17 ac|j mifmcifmt| -ik ygccjv) tmat EcatgDgljdg i| tmg ty~

dgljdgr a~~cigd—kj |ifk j  @^BIF2Dgljdg a| tmg j~~j|itijk

lcaio|+ Afaik# tmg A^ jb`glt ljdg ik Eifwrg®17 ljkro| tmg

kwobgr j 1‑bit u =‑bit caygr ~attgrk| uigvgd ik tmg Caygr| ~akg-|ggk ik Eifwrg®12)+

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RG^JRT BARALH JBAOA0 CJKF EJRO BIRTM LGRTIEILATG ^afg = je 12

ifwrg®150 ^mjtj|mj~ G}~jrt J~tijk| diacjf bj}

J~tijk tj Vritg Caygr| i| l mj|gk

ifwrg®1=0 Ljkugrtikf tj Fray|lacg Ioafg Ojdg

Gkd rg|wct|0

jkg caygr

Diacjf bj} 10lcilh Ogrfg

Diacjf bj} 20

lcilh Di|lard

ifwrg®190 Eikac ljkugr|ijk tj Bitoa~ Ioafg Ojdg

Gkd rg|wct|0Ecattgk caygr

Diacjf bj} 10

lcilh JH 

Diacjf bj} 20

7>' Tmrg|mjcd

ifwrg®160 Caygr = jro tg}t i|jcatgd vitm lrj~ |gcgltijk

Tarfgt caygr jk#jtmgr| twrkgd j 

Ltrc(lcilh tmg ugltjr

oa|h tmwobkaic

\gcgltijk |wrrjwkdikf tg}t caygr

^rjdwlikf Bitoa~ -1/Bit) Caygr|

 Tmg kg}t tvj |gltijk| vicc addrg|| tmg jccjvikf qwg|tijk|

rg|~gltiugcy0

 Mjv arg owcti~cg 1/bit caygr| ~rjdwlgd vitmik a cg:

 Mjv lak a 1/bit caygr rg~rg|gkt a ljcjr jtmgr tmak bcalh:

KJTG0 Ak|vgrikf tmg|g qwg|tijk| i| kjt ogakt tj io~cy tmat tm

ogtmjd| arg tmg |aog w|gd by tmg jrfgr-|)+ Tmg ~wr~j|g i| tj j

a ~caw|ibcg |jcwtijk# bwt it i| kjt jgrgd a| tmg ab|jcwtg ogtmjd

|iklg tmgrg i| acvay| ojrg tmak jkg vay tj oaki~wcatg ioafg|

Ljkugrtikf ak ioafg tj bitoa~ ojdg vitmik ^mjtj|mj~ vicc

~rjdwlg a bcalh akd vmitg ioafg cg vitm tmg dg|irgd 1/bit

-IoafgOa|h trwg) attribwtg+ Tmg ~rjlg|| j ljkugrtikf tj a bito

ioafg ojdg |mjwcd kjt bg ljkw|gd vitm |auikf a cg ik a bito

cg jroat+ Caygr = ik Jbaoa’| ^DE—tmg jro tg}t caygr—i| tmg

carfg|t akd ga|ig|t tj |gg akd vicc bg w|gd tj dgojk|tratg tmg

~rjlg||+ Tj jbtaik a |ioicar caygrgd ̂ mjtj|mj~ cg# |io~cy g}~j

tmg cg rjo Iccw|tratjr -Eicg®;®G}~jrt) a| a ^mjtj|mj~ -^\D) c

vitm tmg j~tijk tj ~rg|grug tmg caygr| a| |ggk ik Eifwrg®15+

J~gk tmg g}~jrtgd ^\D cg ik ^mjtj|mj~+ Kjtilg galm caygr ik

g}~jrtgd ^DE cg ljktaik| a ugltjr oa|h vmilm vicc bg w|gd tj

~rj~grcy lrj~ galm caygr -tj aujid a carfg caygr |ipg)+ Tmg bitoa

ljcjr ojdg vicc rg|wct ik a attgkgd cg8 tmw| tj ~rjdwlg owcti~

1/bit caygr| -jr kac g}~jrtgd jwt~wt)# galm iktgkdgd caygr

vjwcd kggd tj bg attgkgd a| a |g~aratg bitoa~ caygr cg+ Tmg

|tg~| bgcjv vjwcd tmgk kggd tj bg rg~gatgd |g~aratgcy jr gal

iktgkdgd g}~jrtgd 1/bit caygr+ Tmw|# tmg jccjvikf va| rg~gatgd

galm 1/bit caygr ljo~icgd ik tmg kac Jbaoa ^DE cg rg|wct|0

  Twrk j aky wkdg|irgd caygr| vmicg cgauikf tmg tarfgt caygr

 Ltrc(lcilh jk tmg ugltjr oa|h tmwobkaic jwkd jk tmg tarf

caygr tj jbtaik a |gcgltijk -a| |ggk ik Eifwrg®16)

 Fj tj tmg Ioafg ogkw ; Lrj~+ ^rg|| Ltrc(D tj dg|gcglt at

tmg lrj~ i| ljo~cgtg

 Fj tj tmg Ioafg ogkw ; Ojdg ; Fray|lacg -ljcjr ikjroa

kggd| tj bg di|lardgd bgjrg tmg Bitoa~ j~tijk i| auaicabcg

 Lcilh Ogrfg ik tmg r|t diacjf bj} ~rg|gktgd -aky caygr| tw

j vicc bg di|lardgd)

 Lcilh Di|lard ik tmg |gljkd diacjf bj} ~rg|gktgd -tj rgoj

aky ljcjr ikjroatijk)+ Tmg rg|wct vicc bg jkg/caygr# akd acc l

ljkugrtgd tj fray|lacg uacwg| -|gg Eifwrg®1=)

 ^grjro tmi| J^TIJKAC \TG^ JKCY i tmg ioafg ljcjr i|

cifmtgr tmak 7>' fray—a| ik tmg la|g j tmg tvj tj~ vmitg

djt caygr|—lmjj|g bcalh a| a jrgfrjwkd ljcjr# ~rg||Act(\mit(Dgcgtg -tj cc aky ~i}gc| jk tmg caygr vitm bcalh)

 Fj tj tmg Ioafg ogkw ; Ojdg ; Bitoa~ akd lcilh JH ik t

r|t diacjf bj} tj attgk caygr|

 Ik tmg |gljkd diacjf bj}# dglidg jk tmg rg|jcwtijk jwt~wt a

lmjj|g tmg 7>' Tmrg|mjcd j~tijk+ Tmi| j~tijk vicc twrk ak

7>' fray uacwg jr darhgr tj bcalh# akd aky cifmtgr uacwg tj

vmitg -tmg rga|jk bgmikd tmg rgljoogkdgd j~tijkac |tg~

tmg vmitg djt caygr|)+ Lcilh JH -|gg Eifwrg®19)

 Tmg rg|wct i| a attgkgd jkg caygr -1/bit) cg# vitm bcalh a| tmg j

ljcjr+ \aug tmg cg a| a |g~aratg ̂ \D cg -jr aky auaicabcg cg j

tmat |w~~jrt| bitoa~ ojdg)+ Rgtwrk tj tmg jrifikac |tartikf ^\cg tj rg~gat tmg ~rjlg|| jr galm caygr a| kggdgd+

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RG^JRT BARALH JBAOA0 CJKF EJRO BIRTM LGRTIEILATG ^afg 9 je 12

ifwrg®2>0 J~gk tmg bitoa~ cg ik Iccw|tratjr# |gcglt akd lj~y

\gcglt tmg gktirg caygr akd lj~y

ifwrg®220 Actgrkatg ̂ calg ogtmjd

^calg jb`glt di|~cay| ]

tmrjwfm bjwkdikf bj}

ifwrg®210 ^a|tg tmg bitoa~ cg ik I ccw|tratjr

Lcilh JH tj oatlm tmg

~rjcg j dg|tikatijk cg

Eifwrg®240 \gcglt tmg 3Ioafg; |wb/caygr| tj lmakfg ljcjr Eicc

Lcilh tj j~gk*g}~akd

Lcilh lirlcg at rifmt j 

3Ioafg; |wb/caygr tj

|gcglt tmg tarfgt jb`glt

Eicc iljk

Kj Eicc iljkLcilh Ljcjr ogkw tj

lmjj|g RFB |cidgr|

ifwrg®2<0 A Eicc ljcjr lak bg a~~cigd tj ljcjripg a 1/bit caygr

Kj Ljcjr Eicc0 Rgeglt| bcalh bitoa~ tg}t Kj Ljcjr

Ljcjr Eicc A~~cigd0 Rgeglt| ljcjripgd tg}t

Ljcjr a~~cigd

Bcalh 1/bit ljcjr

Frggki|m/bcalh ljcjr cc

Ljo~icikf % Ljcjripikf ik Iccw|tratjr

Atgr galm caygr i| g}traltgd akd ljkugrtgd tj a bitoa~ ojdg

tmg caygr| arg rgady tj ljo~icg akd ljcjripg vitmik Iccw|tratjr+ E

tmg |ahg j |~ggd# a||wog tmg Iccw|tratjr cg ma| bggk ljo~icgd

vitm acc tmg caygr| ik ~j|itijk g}lg~t jr tmg jro tg}t caygr

-g}traltgd rjo tmg ~rguijw| g}grli|g)+

A||wog acc j tmg 1/bit caygr| vgrg addgd vitm a |ioicar ~rjlg||

ogrgcy rg~gatgd jr galm |g~aratg caygr+ Vitm tmg caygrgd cgj~gkgd ik Iccw|tratjr# mgrg i| mjv tj add tmg oi||ikf tg}t caygr0

 J~gk tmg bitoa~ cg ik Iccw|tratjr+ \gcglt tmg jb`glt akd ~rg

Ltrc(L tj lj~y -|gg Eifwrg®2>)

 \vitlm tj tmg j~gkgd Jbaoa Iccw|tratjr cg# akd ~rg|| Ltrc(

tj ~a|tg+ Lcilh JH i a ^a|tg ̂ rjecg Oi|oatlm diacjf bj}

a~~gar| a| |ggk ik Eifwrg®21

KJTG0 Ak actgrkatiug ogtmjd tj tmg |tg~| ci|tgd abjug vjwcd

bg tj w|g Eicg ; ^calg vitmik tmg jrifikac Jbaoa lgrtilatg cg

Mjvgugr tmat ogtmjd lrgatg| a ui|wac lcwg -j ak gobgddgd cik

by di|~cayikf ak –]‟ ~calgmjcdgr ikdilatjr vitmik tmg jb`glt’|

bjwkdikf bj} -a| |ggk ik Eifwrg®22)+ Tmi| ogtmjd i| ab|jcwtgcy

ojrg dirglt rjwtg tj tahg—bwt dwg tj tmg ab|gklg j tmg –]‟ cik

jb`glt ikdilatjr ik Jbaoa’| ̂ DE cg -a| |ggk ik Eifwrg®2<)# tmg

lj~y akd ~a|tg ogtmjd i| a ~rjbabcg vjrharjwkd ogtmjd+

A| a rgoikdgr# tmgrg arg jtmgr oikjr dgtaic| tmat maug bggk

ljugrgd ik ~rijr rg~jrt| akd kjt tmg jlw| j tmg ljcjripgd bito

di|lw||ijk+ Tmg|g vjwcd iklcwdg dgtaic| tmat jllwrrgd vmgk

tmg Jbaoa ^DE va| ljo~icgd# |wlm a| tmg jb`glt| brjwfmt ik

rgqwirikf a /9>¾ rjtatijk -ba|gd jk tmg Cikh| ~akgc ikjroatijk

Ac|j# galm kgv caygr addgd tj tmg cg vicc -by dgawct) ~a|tg at

tj~ j tmg caygr |talh# bwt tmg caygr| lak ga|icy bg draffgd tj tm

~rggrrgd ~j|itijk vitmik tmg |talh -akd gugk rgkaogd i dg|irg

 Tmg Ecattgk Artvjrh j~tijk ik tmg Caygr| ~akgc vjwcd maug bg

a~~cigd i additijkac caygr| vgrg lrgatgd dwrikf tmg ~rjlg||# akjb`glt| vgrg frjw~gd tj a Lci~~ikf Oa|h ^atm+

Jklg tmg caygr i| ~rj~grcy ~j|itijkgd# acc tmat rgoaik| i| a||ifk

dg|irgd ljcjr -j lmjilg) a| jccjv|0

 Vitm tmg tarfgt jb`glt |ticc |gcgltgd# lmjj|g a ljcjr Eicc a|

dg|irgd -rggr tj Eifwrg®2<)

It’| tmat ga|y! Vmgk a caygr ma| tmi| 1/bit -IoafgOa|h trwg)

attribwtg# tmg vmitg di|~cay| a| trak|~argkly ik Iccw|tratjr akd b

vicc tahg jk aky ljcjr a~~cigd a| a Eicc+ At r|t fcaklg# it i| ga|y

drav a ac|g io~rg||ijk tmat kj bcalh g}i|t| vitmik Jbaoa’| dif

cg—bwt kjtmikf ljwcd bg wrtmgr rjo tmg trwtm+ Try tmi| tg|t0

ÂJ~gk Jbaoa’| ^DE ik iccw|tratjr Jk tmg Caygr| ~akgc# lcilh tj j~gk -g}~akd) aky j tmg r|t g

3Frjw~; |wb/caygr jb`glt|

 Lcilh tmg |gcglt lirlcg iljk tj tmg rifmt j tmg |wb/caygr titcgd

a| 3Ioafg;—kjt tmg 3Lci~~ikf ̂ atm; |wb/caygr -rggr tj

Eifwrg®24)

  Twrk j tmg ljcjr Eicc -tmg iljk j~tijk vitm tmg |ca|m |ggk ik

Eifwrg®24)+ Gugk tmg j/vmitg djt| ik tmg r|t tvj caygr| ar

bcalh -kjt j/vmitg)

  Tj wrtmgr ~rjug tmg ~jikt# vitm aky j tmg gifmt bitoa~

3Ioafg; |wb/caygr| |gcgltgd# ~ilh aky Eicc ljcjr+ ^cay vitm tLjcjr ~akgc |cidgr| akd vatlm tmg caygr lmakfg ljcjr a| dg|

KJTG0 ^rg|| Ltrc(P tj wkdj a| kggdgd vmicg g}~griogktikf+

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RG^JRT BARALH JBAOA0 CJKF EJRO BIRTM LGRTIEILATG ^afg 1> je 12

ifwrg®270 Jb`glt ljdg g}traltgd jr Jbaoa ^DE caygr|

ifwrg®250 J~tioipgd 1/bit caygr rgglt| bcalh a| g}~gltgd

1/bit caygr dgawct|

tj fray|lacg uacwg

ifwrg®2=0 Eicc ljcjr twrkgd j jr acc 1/bit caygr|

Vmitg djt| twrk bcalh 

Vmitg djt| twrk bcalh 

ifwrg®260 J~tioipgd 1/bit caygr Eicc ljcjr lak bg oaki~wcatgd

1/bit caygr lak bg

oaki~wcatgd tjaky ljcjr

=/bit caygr| |ticc rgeglt

bcalh*fray|lacg rgokakt|

IoafgOa|h Trwg ^rj~grty Bgmauijr

Eifwrg®27 ~rjuidg| a rgoikdgr tmat tmg jb`glt ljdg di|~caygd j

Jbaoa’| ̂ DE ljktaik| = caygr| vitm tmg jccjvikf ~rj~grtig|0

 IoafgOa|h trwg

 Bit|^grLjo~jkgkt 1 -1/bit caygr)

 EcatgDgljdg

 Tmg ca|t caygr ljktaik| uaryikf ljcjr| jr tmg |agty/~a~gr akd akacia|gd gcgogkt| vitm tmg jccjvikf jb`glt ljdg ~rj~grtig|0

 Ljcjr\~alg

 Bit|^grLjo~jkgkt = -=/bit caygr)

 DLTDgljdg

 Tmikh j tmg IoafgOa|h trwg ~rj~grty -jr acc 1/bit jb`glt|) a|

akacjfjw| tj a~~cyikf ~aikt tmrjwfm a lwt/jwt |tgklic+ Tmg vmitg

arga| j tmg bitoa~ caygr alt a| tmg |tgklic oa|h -di|~cayikf a|

trak|~argkt vitmik Iccw|tratjr)+ Tmg ~aikt a~~cigd rgalmg| tmg cayg

vmgrg bcalh rg|idg|+ Dwg tj tmi| |tgklic/cihg -IoafgOa|h trwg)

~rj~grty# vmgk tmg Eicc ljcjr i| twrkgd j # Iccw|tratjr’| Gygdrj~~g

tjjc vicc kjt rgfi|tgr ljcjr uacwg| jr tmg bcalh akd vmitg |tgklic+

Jkcy vmgk a Eicc ljcjr i| a~~cigd# vicc tmg Gygdrj~~gr rgfi|tgr a lj

uacwg+ Tmi| ac|j rgikjrlg| tmg Gygdrj~~gr bgmauijr -|ggk garcigr)

vmilm tmg Eicc ljcjr i| tmg jkcy ljcjr tmat di|~cay| a uacwg gugk v

lcilhikf ik tmg |tgklic/cihg -jr trak|~argkt) arga| vitmik tmg jb`gl

Wkdgr|takd tmat vmicg it i| ~j||ibcg jr j~tioipatijk tj lrgatg a

caygr tj bg ljcjripgd -by kjroac |lakkikf akd |auikf ~rjlgdwrg

tmg hgy digrgklg i| tmg j~tioipgd cg rg|wct vicc ljktaik jkcy J

1/bit caygr akd tmg ljcjr a~~cigd tj tmat caygr vicc rgglt a fray|l

uacwg lcj|g tj bcalh+ Eifwrg®25 w|g| tmg j~tioipgd A^ cg jklg

afaik# tj |gg ak g}ao~cg j tmi|+ Vmgk tmg cg va| j~tioipgd#

tmg ~rjlg|| attgo~tgd tj ~wcc acc tmg ~i}gc| tmat mad tmg darhg|t

bcalh ljcjr -iktj tmg tj~ 1/bit caygr) akd a||ifkgd a fray|lacg lj

rg~rg|gktikf tmat bcalh uacwg+ Eifwrg®26 |mjv| tmat tmg caygrbgmaug| |ioicarcy a| dg|lribgd8 ik vmilm tmg bcalh 1/bit caygr alt

a| a |tgklic—tmg ljcjr lak bg oaki~wcatgd tj aky ljcjr uacwg -ik

Iccw|tratjr)+ Kjtilg tmat jtmgr fray|lacg bcalh uacwg| jk =/bit cayg

lakkjt bg oaki~wcatgd ik tmg |aog oakkgr+

Jbaoa’| ̂ DE cg io~cig| a lmjilg tj oaki~wcatg tmg cg tj ljkta

kjt jkg—bwt gifmt bitoa~ caygr|+ A lmjilg ma| tj bg oadg by t

w|gr tj io~jrt akd ljo~icg tmi| oaky 1/bit caygr|+ Bwt gugk ojr

io~jrtaktcy# a lmjilg ma| tj bg oadg tj oaki~wcatg tmg ljcjr j

1/bit caygr| tj di|~cay a ljcjr jtmgr tmak bcalh+ Tmg alt tmat tmg

caygr| ik Jbaoa’| ^DE ljktaik ljcjr| jtmgr tmak bcalh i| kjt dwg

aky uariatijk j |lakkikf |gttikf|# kjr aky uariatijk j j~tioipa

|gttikf|+ Jbaoa’| ̂ DE ljktaik| ljcjr jwt|idg tmg fray|lacg rakf Tmi| jro j ljcjr oaki~wcatijk i| `w|t tmat—oaki~wcatijk—akd

wrtmgr ~rjj j a oakwaltwrgd cg+

Eifwrg®2= di|~cay| tmg rg|wct| i tmg ljcjr Eicc i| twrkgd j jr acc

caygr| -ik Jbaoa’| cg)+ Kjtg tmg tvj vmitg djt caygr| ac|j twrk b

 Tj bg lcgar—vmgk vjrhikf ik Iccw|tratjr—aky ugltjr/ba|gd jb

lak ga|icy maug a Eicc ljcjr a~~cigd -a| vgcc a| a ljcjr jwtcikg bjrd

hkjvk a| a \trjhg)+ Mjvgugr# tmg caygr| ik tmg Jbaoa ̂ DE arg k

ugltjr 8 tmgy arg ra|tgr/ba|gd -ac|j hkjvk a| ~i}gc/ba|gd)+ Tmg 1

caygr| vitm tmg IoafgOa|h trwg ~rj~grty arg tmg jkcy ra|tgr/ba|g

jb`glt| tmat lak bg ljcjripgd a| dg|lribgd -w|ikf tmg Eicc ljcjr)—

jtmgr ra|tgr/ba|gd cg jroat| vicc bgmaug ik |wlm a oakkgr+

Kg}t |gltijk vicc ljugr tmg |ifkilaklg j tmg EcatgDgljdg akdDLTDgljdg ~rj~grtig| |ggk ik tmg jb`glt ljdg+

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RG^JRT BARALH JBAOA0 CJKF EJRO BIRTM LGRTIEILATG ^afg 11 je 12

ifwrg®290 \aug Adjbg ̂ DE diacjf bj}—Fgkgrac j~tijk|

Fgkgrac j~tijk|

ifwrg®<>0 \aug Adjbg ̂ DE diacjf bj}—Ljo~rg||ijk j~tijk|

Ljcjr ioafg| |gt tj @^GF ljo~rg||ijk

Ljo~rg||ijk j~tijk|

ifwrg®<10 Eicg ogkw ; ̂ rikt

ifwrg®<20 \aug Adjbg ̂ DE diacjf bj}—Ljo~rg||ijk j~tijk|

\aug a| ^DE j~tijk

^riktikf tj ^DE

Jkg aduaktafg tj ljo~icikf owcti~cg 1/bit caygr| vjwcd lgrtai

bg tj rgdwlg cg |ipg+ A| |ggk ik tmg ~rguijw| |gltijk|# ik jrdgr

ljktrjc tmg ~rg|gklg j owcti~cg 1/bit caygr| -acjkf vitm tmg lj

a~~cigd)8 galm caygr va| |augd akd ljo~icgd |g~aratgcy vitmik

Iccw|tratjr+

Vmgk |auikf tmg Iccw|tratjr cg a| a ̂ DE# tmg dgawct |gttikf|vicc fgkgratg EcatgDgljdg jr acc caygr|+ Rglacc tmat w|ikf

EcatgDgljdg jr tmg 1/bit caygr jb`glt| i| ljk|i|tgkt vitm tmg jb

ljdg rggltgd ik Jbaoa’| ^DE -rggr tj Eifwrg®27)+ Bwt vmgk

EcatgDgljdg i| a~~cigd tj tmg bjttjo ljcjr -|agty/~a~gr) cayg

vicc bcjat tmg cg |ipg# oahikf it ojrg lmaccgkfikf tj cjvgr tmg

|ipg vmicg oaiktaikikf ioafg qwacity ljk|i|tgkt vitm Jbaoa’| ^

A| ~rguijw|cy |ggk ik Eifwrg®27# tmg jb`glt ljdg ik Jbaoa’| ̂ D

rgglt| a digrgkt dgljdgr jr tmg =/bit ljcjr caygr—DLTDgljd

vmilm i| akacjfjw| tj @^GF ljo~rg||ijk jr ljcjr ioafg|+ By w

DLTDgljdg jr tmi| caygr# tmg cg |ipg i| rgdwlgd |wb|taktiaccy+

Mjv arg digrgkt dgljdgr| a~~cigd tj tmg uarijw| caygr|: Tmi| i

|io~cy a oattgr j ad`w|tikf a gv |gttikf| ik tmg ^DE diacjf bjtmi| g}ao~cg# rjo Iccw|tratjr’| Eicg ogkw# lmjj|g \aug A| akd

|wrg tj ad`w|t tmg \aug a| ty~g j~tijk tj ^DE + Eifwrg®29 di|~ca

tmg ikitiac Fgkgrac ~afg j~tijk| ik tmg \aug Adjbg ̂ DE diacjf b

By dgawct# tmg Ljo~rg||ijk ~afg j~tijk| arg |gt tj Pi~ jr

acc tmrgg ioafg ty~g|0 Ljcjr Bitoa~# Fray|lacg Bitoa~# akd

Ojkjlmrjog Bitoa~+ Tmg Pi~ j~tijk vicc ~rjdwlg a EcatgDgljd

rg|wct+ Mjvgugr# by ad`w|tikf tmg j~tijk jr tmg Ljcjr Bitoa~ 

Ljo~rg||ijk tj @^GF w|ikf a Ogdiwo jr cg|| qwacity |gttikf -

|ggk ik Eifwrg®<>)# tmg ljcjr ikjroatijk jk tmg bjttjo =/bit

|agty/~a~gr caygr vicc ~rjdwlg akd oatlm tmg @^GF DLTDgljd

ljo~rg||ijk |ggk ik Jbaoa’| jb`glt ljdg+

Jklg tmg cg rg|wct| arg |augd rjo Iccw|tratjr a| a ̂ DE# tmg cg tmgk j~gkgd akd rg|augd -ac|j hkjvk a| rgrigd ) rjo ^rguigv

tvj rga|jk|0

  Tj |lrwb aky ~rijr ogtadata guidgklg -a| ljugr jr aky dif

tralh| j oaki~wcatijk)

  Tj rgdwlg tmg cg |ipg gugk wrtmgr

 Tmgrg arg tvj ogtmjd| tj |aug jr rgry a| a r̂guigv ^DE0

  Tmg Eicg ; \aug A| ogtmjd -w|ikf ^DE |gttikf|) vmilm

~rjdwlg| a kjtilgabcy ~jjrgr qwacity rg|wct# tmgrgjrg# tmg

|gljkd j~tijk va| ojrg cihgcy w|gd‥

  Tmg Eicg ; ^rikt ogtmjd |ggk ik Eifwrg®<1 vicc oaiktaik io

qwacity ojrg ggltiugcy vmicg |wb|taktiaccy rgdwlikf tmg c|ipg+ Lmjj|g \aug a| ^DE vitmik tmg ^rikt diacjf bj} a| |mj

ik Eifwrg®<2

 Tmg kac r̂guigv ^DE rg|wct vicc ljktaik oatlmikf ogtadata ak

jb`glt ljdg -a| |ggk ik Jbaoa’| ̂ DE)+

 Tj \wooaripg0

 Caygr| lakkjt bg lrgatgd vitmik ̂ rguigv akd mad tj bg

oakwaltwrgd ik akjtmgr ~rjfrao ~rijr tj tmg ca|t |tg~ j 

|auikf rjo ̂ rguigv

 Caygr| ik Jbaoa’| cg vgrg kjt ~rjdwlgd rjo ak awtjoatj~tioipatijk ~rjlg|| vmilm vjwcd ljktaik a |ikfcg caygr -kj

gifmt) j 1/bit qwacity -akd ak j~tioipgd 1/bit caygr di|~cay|bcalh ljcjr uacwg)

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RG^JRT BARALH JBAOA0 CJKF EJRO BIRTM LGRTIEILATG ^afg 12 je 12

ifwrg®<<0 ORL ljo~rg||ijk fgkgratg| Iccw|tratjr varkikf og||afg

ifwrg®<40 ORL jb`glt ljdg ~attgrk0 Tvj =/bit caygr|8 jkg 1/bit caygr

Ejrgfrjwkdljcjr caygr

IoafgOa|h 

1/bit caygr

Balhfrjwkd

ljcjr caygr

Ejrgfrjwkd ljcjr ~cakg caygr i| ~jwrgd iktj tmg 1/bit IoafgOa|h -oiddcg)

|tgklic/cihg caygr akd di|~caygd vitm tmg balhfrjwkd ljcjr ~cakg caygr

ORL G}~caikgd akd Ljklcwdikf ^jikt|

 Tmg caygr| ~rg|gktgd ik Jbaoa’| ^DE cg vgrg kjt a ~rjdwlt j

j~tioipatijk jr aky awtjoatgd ~rjlg||+ A| ~rguijw|cy ogktijk

tmg oj|t cihgcy ~rjfrao tj ~rjdwlg j~tioipgd caygr| -rjo ak

awtjoatgd ~rjlg||) vjwcd bg Adjbg’| Alrjbat ^rj—ugr|ijk 9

garcigr w|g| ak Ada~tiug ljo~rg||ijk ogtmjd -rggr balh tj tmg

rg|wct| |mjvk ik Eifwrg®1>)+Alrjbat ̂ rj ] -ugr|ijk 1>) jr catgr w|g| a ogtmjd tmat rg|gobcg

ORL -Oi}gd Ra|tgr Ljktgkt) ljo~rg||ijk+ ORL va| kjt a altj

ik Jbaoa’| ̂ DE gitmgr# bwt vjrtm kjtikf ik la|g aky dggkdgr|

Jbaoa’| ^DE vakt tj tmrjv tmg ORL arfwogkt w~ afaik|t tmg

mj~ikf it vicc |tilh+

\jog di|qwaciyikf gatwrg| j ORL -kjt jwkd ik Jbaoa’| ̂ DE

a| jccjv|0

 ORL ma| a tgkdgkly tj fgkgratg a varkikf og||afg |ggk ik

Eifwrg®<< vmgkgugr tmg cg i| j~gkgd ik Iccw|tratjr+ Jbaoa

^DE cg djg| kjt triffgr aky |wlm varkikf og||afg

 \ioicar tj Ada~tiug ljo~rg||ijk# ORL vicc ~rjdwlg jkcy jk

1/bit -IoafgOa|h trwg) caygr ik tmg jb`glt ljdg+ Jbaoa’| ^D

cg ma| gifmt 1/bit caygr|

  Ty~ilac caygr rg|wct| vicc bg tmrgg jb`glt ljdg caygr| ljk|i|t

j tvj =/bit caygr| akd jkg 1/bit caygr -|ggk ik Eifwrg®<4)+

ljktra|t# Jbaoa’| cg ma| jkcy jkg =/bit caygr -akd j ljwr|

tmgrg’| |ticc tmg ~rjbcgo j tmg gifmt 1/bit caygr|)

 Eifwrg®<4 fiug| ak a~~rj}ioatg idga j vmat tmg caygr ~rjl

akd rg|wct| oifmt cjjh cihg i Jbaoa’| ^DE cg mad ORL

ljo~rg||ijk a~~cigd+ Tmg Eifwrg w|g| g}affgratgd ljcjr| -

tmg tj~ =/bit ljcjr caygr) tj ga|icy dgojk|tratg tmg ~rjlg||

ORL w|g| tmrgg caygr| ik tmg jb`glt ljdg# bwt jkcy tvj cayg

vicc di|~cay vmgk j~gkgd ik Iccw|tratjr a| jccjv|0 Tmg bjttj

=/bit balhfrjwkd caygr8 akd tmg ljobikgd tj~ tvj caygr| ik

vmilm tmg tj~ =/bit ljcjr caygr ~rjuidg| tmg ljcjr uacwg| jr

1/bit -|tgklic/cihg) oiddcg caygr+ Tmg ~rjlg|| j iktgr~rgtikf

tj~ tvj caygr| -a| a ljobikgd caygr) vmgk j~gkgd ik Iccw|t

g}~caik| tmg varkikf og||afg tmat jb`glt| –maug bggk

rgiktgr~rgtgd ‟+ Afaik# tmg|g caygr lmaraltgri|til| arg kjt jwk

tmg Jbaoa ^DE vmilm ljktaik| kikg caygr|# akd tmg 1/bit ca

dj kjt fgt tmgir ljcjr rjo a |g~aratg =/bit ljcjr caygr at tm

tj~ bwt ratmgr rgtaik |g~aratg Eicc ljcjr| vitmik galm 1/bit c

Ak allwowcatgd wkdgr|takdikf iktj acc tmg attribwtg| j 

j~tioipatijk ljo~argd vitm acc tmg attribwtg| j Jbaoa’| ̂ DE

cg oahg| it iklrga|ikfcy io~j||ibcg tj dggkd Jbaoa’| cg a|

–kjroac+‟ Jklg it bgljog| lcgar tmat tmg ljcjr| ik tmg r|t gifmtcaygr| arg ak a~~cigd lmjilg# jkg djg| maug tj vjkdgr vmy tmg

~artilwcar ljcjr lmjilg| vgrg oadg+ Ejr g}ao~cg# vmy lmjj|g a

ljcjr jr datg tg}t tmat digr| rjo jtmgr tg}t caygr|: Bwt tmg o

io~jrtakt akd |ifkilakt qwg|tijk |ticc rgoaik|0 Vmy dj tmg|g

attribwtg| gugk g}i|t at acc: A cgfitioatg cg vjwcd kjt ljktaik

oaky ~rjbcgo|—tmg ojrg tmat i| cgarkgd abjwt tmg cg# tmg o

~rjbcgoatil tmg cg bgljog|+

Jbaoa’| ̂ DE cg lak kj cjkfgr bg rggrrgd tj a| a –djlwogkt #‟

tmat tgro io~cig| it g}i|tgd akd |tartgd ik ~a~gr jro+ Jbaoa’|

ow|t bg rggrrgd tj a| a –difitac ecg‟ bglaw|g tmat i| acc it ma| gug

bggk—oakwaltwrgd akd ljo~icgd difitaccy —akd jkcy g}i|t| a

–d t‟ m tm t tm Eic d ci h tm