Unit3 Combinational Design

8/9/2019 Unit3 Combinational Design

1/71

W@FS :

JOEMF@NSFO@NB

CGZFD@


2/71

SO\FJZ

Bodfjnb n`c }gbnsfo`nb

o|g}nso}z

\}ojgzz zsnsgeg`s

Jnzg zsnsgeg`s

Cnsnhbot Zsvbg Mganxfo}nb Zsvbg

Co`s jn}g jo`cfsfo`z

Bookw| snmbgz

z n geg` Boo| zsnsgeg`s

Xn}fnmbgz


3/71

CNSNHBOT ZSVBG

Bodfjnb n`c }gbnsfo`nb o|g}nso}z

Zfd`nb nzzfd`eg`sz G`jocg}z n`c cgjocg}z

Bookw| snmbgz


4/71

O\G]NSO]Z

XACB o|g}nso}z bfzsgc h}oe afdag} so botg}

|}gjgcg`jgEfzjgbbn`gowz )) nmz òs

Ewbsf|bvf`d ) / eoc }ge

Zfd` + % Nccf`d + % (

Zafhs zbb z}b zbn z}n }ob }o}

]gbnsfo`nb 5 /5 2 25 0 05Bodfjnb n`c o} `n`c ò} qo} qò}


5/71

BODFJNB O\G]NSO]Z

N M òs N N n`c M N n`c M N o} M N o} M N qo} M N qò} M

< < > < > < > < >

< > > < > > < > < < < > > < > > < > < > < < >

Nbb o|g}nso}z anxg sag zneg bgxgb oh |}gjgcg`jg

gqjg|s ho} òs

Nzzojfnsfxg o|g}nso}z9 n`c" o}" qo}" qò} N n`c M n`c J %% xnbfc

N n`c M n`c J %% f`xnbfc


6/71

ZFD@NBNZZFD@EG@SZ

N zfd`nb nzzfdèg`s |bnjgc f` sag zsnsgeg`s |n}s

oh n` n}jafsgjsw}g fz n jo`jw}}g`s zsnsgeg`s. = ho}ez oh jo`jw}}g`s zfd`nb nzzfdèg`s9

Zgbgjsgc zfd`nb nzzfdèg`s

Wzf`d Moobgn` gq|}gzzfo` !:}c ho}e&

Zv`sagzfynmbg zfd`nb nzzfdèg`s ho}e9

sn}dgs 25 xnbwg_gq|}gzzfo`;


7/71

GQNE\BG9 3%SO%> EWBSF\BGQG]

g`sfsv ewq3so> fz

\o}s ! F 9 f` ZSC_BODFJ_XGJSO]

!: cot`so cot`so ;


8/71


Jo`jw}}g`s zfd`nb nzzfdèg`s wzf`d Moobgn`

gq|}gzzfo`9

n}jafsgjsw}g Cnsnhbot oh ewq3so> fz

V 25 !òs `G& n`c !

!òs Z!>& n`c òs Z!& n`c òs Z!& n`c Z!


9/71

ZGBGJSGC ZFD@NBNZZFD@EG@S

Nbzo jnbbgc n tfsa%zgbgjs%tag` zsnsgeg`s

Fs nbbotz o`g oh zgxg}nb |ozzfmbg xnbwgz so mgnzzfd`gc so n zfd`nb mnzgc o` n zgbgjs

gq|}gzzfo`.

o}e9

tfsa gq|}gzzfo` zgbgjs

sn}dgs 25 xnbwg_gq|}gzzfo`> tag` jaofjgz>"

xnbwg_gq|}gzzfo`=tag` jaofjgz="

xnbwg_gq|}gzzfo`` tag` osag}z;


10/71


Zgbgjsgc zfd`nb nzzfd`eg`s9


mgdf`

t ` zg gj

V 25 F!


11/71

]GBNSFO@NB O\G]NSO]Z

O|g}nso} O|g}nsfo` Bghs

O|g}n`c

]fdas

O|g}n`c

]gzwbs

5 G~wnbfsv N`v gqjg|s

hfbg

Zneg nz

bghs

Moobgn`

/5 F`g~wnbfsv %co% %co% %co%

2 Bgzz san` Zjnbn} o}

joe|ozfsg

cfzj}gsg sv|g

%co% %co%

25 Bgzz san` o}

g~wnb

%co% %co% %co%

0 D}gnsg} san` %co% %co% %co%

05 D}gnsg} san`

o} g~wnb

%co% %co% %co%


12/71

JO@CFSFO@NB ZFD@NBNZZFD@EG@S

Nbzo jnbbgc tag`%gbzg zsnsgeg`s

Fs nbbotz n zfd`nb so mg nzzfd`gc n xnbwg mnzgc o`n zgs oh jo`cfsfo`z !gq|}gzzfo`z f`xobxf`d

}gbnsfo`nb o|g}nso}z&.

o}e9

sn}dgs 25 xnbwg_gq|}gzzfo`> tag` jo`cfsfo`> gbzg

xnbwg_gq|}gzzfo`=tag` jo`cfsfo`=gbzg

xnbwg_gq|}gzzfo``%> tag` jo`cfsfo`%> gbzg

xnbwg_gq|}gzzfo``;


13/71


Jo`cfsfo`nb zfd`nb nzzfd`eg`s9


zfd`nb se| 9 zsc_bodfj_xgjso}!= cot`so


14/71

W@CGZF]GC FE\BFGC BNSJA


15/71

GQNE\BG9 END@FSWCG JOE\N]NSO]

g`sfsv Joe|n}nso} fz

\o}s ! N" M 9 f` ZSC_BODFJ_XGJSO] !4 cot`so$ tag` N 0 M gbzg $$ tag` N 5 M gbzg $$ tag` N 2 M gbzg $


16/71

GQNE\BG9 \]FO]FSVG@JOCG]

F: F= F> F< N> N < < < > < < < > >


17/71


g`sfsv \G`jocg} fz

\o}s ! F 9 f` ZSC_BODFJ_XGJSO] !: cot`so cot`so $ gbzg

->>- tag` F!:& 5 $>$ gbzg

-YY-;

g`c Jo`cfsfo`nb;


18/71

CO@S JN]G F@\WSZ N@C OWS\WSZ

S}ncfsfo`nb bodfj cgzfd`

Jowbc mg > o} < ]g|}gzg`sgc nz % f` XACB

Zfewbnso}

s}gnsg nz n fsg}n xn wg

Ho} ows|ws" fs f`cfjnsgz sans n jaofjg ho} sans ows|wsz

zsnsg anz `os mgg` encg

Zv`sagzfyg}

s}gnsgc nz n bfsg}nb xnbwg Ho} ows|ws" fs fz s}gnsgc nz n s}wg co`s jn}g jo`cfsfo`

wzgc ho} bodfj ef`fefynsfo`


19/71


]SB Zjagensfj t/ co`s jn}g jo`cfsfo`z


20/71

GQNE\BG9 \]FO]FSVG@JOCG] T/ CO@S

JN]G JO@CFSFO@Z

N 25 -- tag` sge| 5 ->


21/71

GQNE\BG9 \]FO]FSVG@JOCG] T/ CO@S

JN]G JO@CFSFO@Z ( ZSC_ENSJA

N 25 -


22/71

ZGNSTO]K:%>

>. Dfxg` sag g`sfsv cfnd}ne" j}gnsg n cnsnhbot

XACB cgzj}f|sfo` oh n :%so%1 bf`g cgjocg}. Wzg

zgbgjsfxg zfd`nb nzzfd`eg`s. !@osg9 Hobbot sag

s}wsa snmbg oh sag 43BZ>:1 ho} sag mganxfo} oh sag

z zsge .

`D=M

C!1&`D=N

cgjocg}:so1

D>

N!:&


23/71

ZGNSTO]K:%>

=. Dfxg` sag g`sfsv cfnd}ne" j}gnsg n cnsnhbot

XACB cgzj}f|sfo` oh n 1%f`|ws |}fo}fsv g`jocg}.

Wzg jo`cfsfo`nb zfd`nb nzzfd`eg`s tfsa co`s jn}g

jo`cfsfo`z n`c zsc_ensja hw`jsfo`. !@osg9 Hobbot

sag s}wsa snmbg oh sag 43BZ>31 ho} sag mganxfo} oh

sag zvzsge&.

`G N!:&

\G`jocg}

`DZ`F!1&

`GO


24/71

BOOKW\ SNMBG

N zfe|bg tnv so cgzj}fmg n joemf`nsfo`nb zvzsge

Ho} zf`dbg ows|ws zvzsgez" wzg n jo`zsn`s xgjso} Ho} ewbsf|bg ows|wsz zvzsgez" wzg n` n}}nv oh

jo`zsn`s xgjso}z

zwn v wzgz s g so_ `sgdg} w`jsfo` ow` f`

sag |njkndg `weg}fj_zsc

An}ctn}g fe|bgeg`snsfo` fz zfefbn} so n ]OE

Tag` sn}dgs oh zv`sagzfz fz n \BC" sag zv`sagzfyg}

cogz `os zv`sagzfyg sag jf}jwfs nz n ]OE mws nz n`f`hg}}gc bodfj f` fsz }gcwjgc ho}e.


25/71

BWS GQNE\BG >

N M J V

< < < >

< > < %

bfm}n}v FGGG;

wzg FGGG.ZSC_BODFJ_>>83.NBB;

wzg FGGG.@WEG]FJ_ZSC.NBB;g`sfsv BWS_> fz

\o}s ! N" M" J 9 f` ZSC_BODFJ;

V 9 ows ZSC BODFJ

< > > < < >

> < > %

> > < >> > > ;n}jafsgjsw}g Mganxfo}nb oh BWS_> fz

jo`zsn`s ows|ws 9 zsc_bodfj_xgjso} !< so 4& 95-%%>


26/71

ZFEWBNSFO@ TNXGHO]E


27/71

BWS GQNE\BG =

f`|ws ows|ws

>

><

bfm}n}v FGGG;

wzg FGGG.ZSC_BODFJ_>>83.NBB;

wzg FGGG.@WEG]FJ_ZSC.NBB;

g`sfsv BWS_= fz

\o}s ! f`|ws 9 f` ZSC_BODFJ_XGJSO] !> cot`so cot`so cot`so >-" ->


28/71

ZFEWBNSFO@ TNXGHO]E


29/71

ZGNSTO]K:%=

>. Dfxg` sag hh. s}wsa snmbg" t}fsg n joe|bgsg XACB

cgzj}f|sfo` ho} n cgzfd` g`sfsv `negc sto_ows_bws

sans fe|bgeg`sz sag hw`jsfo` cgzj}fmgc mv sag

s}wsa snmbg nmoxg. Sag n}jafsgjsw}g mocv ewzs

wzg o`b n bookw snmbg so fe bgeg`s safz

hw`jsfo`.

`D=M

C!1&

`D=N

cgjocg}:so1

D>

N!:&


30/71

ZGNSTO]K:%=

=. Dfxg` sag hh. s}wsa snmbg"

t}fsg n joe|bgsg XACBcgzj}f|sfo` ho} n cgzfd`

g`sfsv `negc sto_ows_bws

N M J Q V

< < < > < %

< > < > > < %> < < < < > % >

> > < % > > > >


31/71

MGANXFO]NB ZSVBG

\}ojgzz zsnsgeg`s

Jnzg zsnsgeg`s Fh zsnsgeg`s

Boo| zsnsgeg`s

Xn}fnmbgz


32/71


33/71

JOE\N]FZO@9 HWBBNCCG]

joe|o`g`s Anbh_Nccg} fz

\o}s ! N 9 f` ZSC_BODFJ;

M 9 f` ZSC_BODFJ;

an>9 |}ojgzz!N" M&

mgdf`

fh n 5 $>$ sag`

Zs}wjsw}nb Mganxfo}nb

we 9 ow _ ;

Jows 9 ows ZSC_BODFJ&;g`c joe|o`g`s;

zfd`nb zwezfd" jowszfd>"

jowszfd= 9 ZSC_BODFJ;

zfd> 25 `os m;zfd= 25 m;

gbzg

zfd> 25 m;

zfd= 25 $


34/71

JOE\N]FZO@9 HWBBNCCG] !JO@S&

mgdf`

AN>9 Anbh_Nccg} |o}s en|

! N" M" zwezfd" jowszfd> &;

an=9 |}ojgzz!zfd>" Jf`&

mgdf`

fh zf > 5 $>$ sag`

Zs}wjsw}nb Mganxfo}nb

9 n _ g} |o} en|

! N 50 zwezfd"M 50 Jf`"

Zwe 50 Zwe"

Jows 50 jowszfd=&;

Jows 25 jowszfd> o}jowszfd=;

Zwe 25 `os Jf`;zfd: 25 Jf`;

gbzg

Zwe 25 Jf`;

zfd: 25 $


35/71

JOE\N]FZO@9 HWBBNCCG] !JO@S&

o}>9 |}ojgzz!zfd=" zfd:&

mgdf`

fh zf : 5 $>$ o} zf = 5 $>$

Mganxfo}nb

sag`Jows 25 $>$;

gbzg

Jows 25 $


36/71

\]OJGZZ ZSNSGEG@S

N jo`jw}}g`s zsnsgeg`s sans fz joe|}fzgc oh

zg~wg`sfnb zsnsgeg`sz

Fs jn` }g|}gzg`s sag mganxfo} oh nbb o} zoeg

|o}sfo` oh n cgzfd`

v` nq9

[|}ojgzz_bnmgb9 U

|}ojgzz [!zg`zfsfxfsv_bfzs&U fz

{ |}ojgzz_cgjbn}nsfxg_fsge u

mgdf`

{ zg~wg`sfnb_zsnsgeg`s u

g`c |}ojgzz [|}ojgzz_bnmgb U;


37/71

\]OJGZZ ZSNSGEG@S

Jn` mg wzgc so cghf`g joemf`nsfo`nb n`c

zg~wg`sfnb zvzsgez

@o zfd`nbz jn` mg cgjbn}gc f` n |}ojgzz.

Zg`zfsfxfsv bfzs fz o|sfo`nb

|}ojgzz t n zg`z x v z ewz `o jo` n `

tnfs zsnsgeg`sz.

N |}ojgzz tfsaows n zg`zfsfxfsv bfzs ewzs jo`snf` ns

bgnzs o`g tnfs zsnsgeg`s" o} fsz zfewbnsfo` tfbb `gxg}

g`c


38/71

\]OJGZZ ZSNSGEG@S

= }g~wf}geg`sz ho} n |}ojgzz so zv`sagzfyg so n

joemf`nsfo`nb zvzsge n}g9

>. Sag |}ojgzzz zg`zfsfxfsv bfzs ewzs jo`snf` nbb

zfd`nbz }gnc f` sag |}ojgzz.

=. N zf `nb o} xn}fnmbg nzzf `gc n xnbwg f` n }ojgzz

ewzs mg nzzfd`gc n xnbwg f` nbb |ozzfmbg gqgjwsfo`zoh sag |}ojgzz.


39/71

ZG@ZFSFXFSVBFZS

Fs fz n bfzs oh zfd`nbz so tafja n |}ojgzz fz

zg`zfsfxg

Sagzg zfd`nbz jn` mg zfd`nbz cgjbn}gc f` sag

g`jbozf`d n}jafsgjsw}g n`c/o} |o}sz oh sag

O}cg} oh zfd`nbz fz `os fe|o}sn`s


40/71

XACBZ ZG^WG@SFNB ZSNSGEG@SZ

zfd`nb nzzfd`eg`s

xn}fnmbg nzzfd`eg`s tnfs

nzzg}sfo`

jnzg

`wbb Fh

boo|

}g|o}s |}ojgcw}g jnbb

}gsw}`

`gqs gqfs


41/71

JNZG ZSNSGEG@S

Fs fz n||}o|}fnsg so wzg safz zsnsgeg`s tag` sag

zgbgjsfo` jn` mg mnzgc o` sag xnbwg oh n zf`dbg

gq|}gzzfo`

G~wfxnbg`s so n jo`jw}}g`s zgbgjsgc zfd`nb

Zv`snq9

jnzg gq|}gzzfo` fz

tag` jaofjgz 50 zg~wg`jg_oh_zsnsgeg`sz

{ tag` jaofjgz 50 zg~wg`jg_oh_zsnsgeg`sz u

g`c jnzg [ jnzg_bgxgb U;


42/71

GQNE\BG9 QO]_JNZG

g`sfsv QO]_jnzg fz

\o}s ! N" M 9 f` ZSC_BODFJ;

J 9 ows ZSC_BODFJ&;

g`c QO]_jnzg;

n}jafsgjsw}g Mganxfo}nb oh QO]_jnzg fz

gdf`

|}ojgzz!N" M&

mgdf`

jnzg zsc_bodfj_xgjso}$!N"M& fz

tag` -- r ->$;

tag` osag}z 50 J 25 $


43/71

GQNE\BG9 CGJOCGn}jafsgjsw}g Mganxfo}nb oh cgjocg fz

mgdf`

jnzgv9 |}ojgzz!d_mn}" n" m&mgdf`

v< 25 $>$; v> 25 $>$; v= 25 $>$; v: 25 $>$;

jnzg zsc bo fj xgjso}$ mn} n m fz_ _ _

tag` -


44/71

ZFEWBNSFO@ OWS\WS !T/ F@FSFNBFYNSFO@&


45/71

ZFEWBNSFO@ OWS\WS

!T/O F@FSFNBFYNSFO@&


46/71

ZGNSTO]K:%:

Wzf`d n jnzg zsnsgeg`s"t}fsg n mganxfo}nbcgzj}f|sfo` sans

n m j T V

< < < > $; v> 25 $>$; v= 25 $>$; v: 25 $>$;

fh !d_mn} 5 $ 25 $$& n`c !m 5 $$&& sag` v: 25 $v

\}ombge zsnsgeg`s S}wsa snmbg

wzgz n |}ojgzz sansjo`snf`z n` fh

zsnsgeg`s.

< > < >

< > > >

> < < >

> < > > < >

> > > >


53/71

BOO\ ZSNSGEG@S

Fs jo`snf`z n zg~wg`jg oh zg~wg`sfnb zsnsgeg`sz

sans jn` mg }g|gnsgcbv gqgjwsgc" yg}o o} eo}g

sfegz.

Gqgjwsfo` jo`sf`wgz w`sfb boo| fz sg}ef`nsgc nz n

Joe|bgsfo` oh fsz fsg}nsfo` zjageg Gqgjwsfo` oh n` gqfs zsnsgeg`s

Gqgjwsfo` oh n `gqs zsnsgeg`s sans z|gjfhfgz n bnmgb

owszfcg oh sag boo|

Gqgjwsfo` oh n }gsw}` zsnsgeg`s

N }gsw}` zsnsgeg`s jn` n||gn} f`zfcg n boo| o`bv fh sag boo|

fz f` n zwm|}od}ne.


54/71

BOO\ ZSNSGEG@S

Zv`snq9

[ boo|_bnmgb9 U

[ fsg}nsfo`_zjageg U boo|

zg~wg`jg_oh_zsnsgeg`sz

_

fsg}nsfo`_zjageg9ho} fcg`sfhfg} f` cfzj}gsg_}n`dg

tafbg jo`cfsfo`

cfzj}gsg_}n`dg9cfzj}gsg_zwmsv|g_f`cfjnsfo`

}n`dg


55/71

HO] BOO\ ZSNSGEG@S

Fs fz zv`sagzfynmbg

Sag fcg`sfhfg} zg}xgz nz n` fe|bfjfs cgjbn}nsfo` oh

n boo| |n}negsg}.

Sag boo| |n}negsg}z sv|g fz sag mnzg sv|g oh sag

zj}g g }n`dg.

Sag boo| |n}negsg} o`bv gqfzsz tafbg sag boo| fzmgf`d gqgjwsgc" n`c fz `os xfzfmbg owszfcg oh sag

boo|.

Sag boo| |n}negsg} fz s}gnsgc nz n jo`zsn`s"sawz" jn` mg }gnc mws jn``os mg t}fssg`


56/71

HO] BOO\ ZSNSGEG@S

Zv`snq9

[ boo|_bnmgb9 U

ho} fcg`sfhfg} f` }n`dg boo|


g`c boo| [boo|_bnmgb U;


57/71

TAFBG BOO\ ZSNSGEG@S

Fs fz `os zv`sagzfynmbg

Fs fz wzghwb f` sgzsmg`jagz

Sag jo`cfsfo` fz gxnbwnsgc mgho}g gnja fsg}nsfo`

Fh jo`cfsfo` fz s}wg" sag zg~wg`jg oh zsnsgeg`sz f` sag

oo| z gqgjw g .

Fh jo`cfsfo` fz hnbzg" sag fsg}nsfo` zjageg fz joe|bgsgn`c sag boo| fz sg}ef`nsgc.

Sag jo`cfsfo` fz `os sgzsgc cw}f`d sag gqgjwsfo`

oh sag zg~wg`jg oh zsnsgeg`sz f` sag boo|.


58/71

TAFBG BOO\ ZSNSGEG@S

Zv`snq9

[ boo|_bnmgb9 U

tafbg jo`cfsfo` boo|


g`c boo| [boo|_bnmgb U;


59/71

@GQS ZSNSGEG@S

Fs fz wzgc so sg}ef`nsg sag jw}}g`s fsg}nsfo` oh n`

g`jbozf`d boo| zsnsgeg`s n`c do so sag `gqs

fsg}nsfo`.

Fh sag `gqs zsnsgeg`s f`jbwcgz n jo`cfsfo`"

jo`cfsfo`nb.N `gqs zsnsgeg`s sans anz n boo| bnmgb fz o`bv

nbbotgc tfsaf` sag boo| sans anz sans bnmgb" n`c

n||bfgz so o`bv sans boo|.


60/71

@GQS ZSNSGEG@S

N `gqs zsnsgeg`s tfsaows n boo| bnmgb fz o`bv

nbbotgc tfsaf` n boo|" n`c n||bfgz o`bv so sag

f``g}eozs g`jbozf`d boo|.

Gqgjwsfo` oh n `gqs zsnsgeg`s jn` jnwzg n boo| so

"

owsg} boo| n`c sag `gqs zsnsgeg`s anz n bnmgbsans cg`osgz sag owsg} boo|.

Zv`snq9

[ bnmgb9 U `gqs [ boo|_bnmgb U [ tag` jo`cfsfo`U;


61/71

GQFS ZSNSGEG@S

Fs fz wzgc so sg}ef`nsg sag gqgjwsfo` oh n`

g`jbozf`d boo| zsnsgeg`s.

Fh fs f`jbwcgz n jo`cfsfo`" sg}ef`nsfo` oh sag boo|

fz jo`cfsfo`nb.

` gq z n geg` t n oo| n g z o` v

nbbotgc tfsaf` sag boo| sans anz sans bnmgb" n`cn||bfgz so o`bv so sag f``g}eozs g`jbozf`d boo|

!tagsag} bnmgbgc o} `os&.


62/71

GQFS ZSNSGEG@S

Ho} sag gqgjwsfo`" sag jo`cfsfo`" fh |}gzg`s" fz

hf}zs gxnbwnsgc. Sag boo| fz sg}ef`nsgc fh sag

xnbwg oh sag jo`cfsfo` fz s}wg o} fh sag}g fz `ojo`cfsfo`.

[ bnmgb9 U gqfs [ boo|_bnmgb U [ tag` jo`cfsfo`U; Gqne|bg9

gqfs tag` q 5 =7;


63/71


64/71

ZFEWBNSFO@ TNXGHO]E


65/71

XN]FNMBG

Wzgc so zso}g f`sg}egcfnsg xnbwgz f` n |}ojgzz o}

zwm|}od}ne

= kf`cz

@o}enb xn}fnmbgz jn` o`bv mg njjgzzgc h}oe n zf`dbg

Zan}gc xn}fnmbgz jn` mg njjgzzgc h}oe ewbsf|bg|}ojgzzgz n`c n}g `os zv`sagzfynmbg

Ewzs mg cgjbn}gc f` sag cgjbn}nsfxg |n}s oh sag

|}ojgzz o} zwm|}od}ne f` tafja sagv n}g wzgc

Bojnb so sag |}ojgzz o} zwm|}od}ne f` tafja fs fz

cgjbn}gc


66/71

XN]FNMBG

Zv`snq9

xn}fnmbg fcg`sfhfg}_bfzs 9 zwmsv|g_f`cfjnsfo` [ 95

gq|}gzzfo` U;

F`fsfnbfynsfo`9

xn}fn g jow`s 9 zs _ odfj_xgjso} : ot`so < 95


67/71

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Unit3 Combinational Design

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