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MINISTERUL EDUCAȚIEI AL REPUBLICII MOLDOVA
UNIVERSITATEA TEHNICĂ A MOLDOVEI
Lucrare de laborator nr.1Anal!a " #nte!a d#$o!t%elor nu&erceTema: Sinteza circuitelor logice
comina!ionale
A e'ectuat lucrarea (Student )r. TI*1+, U&ane-A.A %ercat lucrarea (Lector un%. Munteanu S.
C/"n0u 213
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Lucrare "e laorator Nr#$
Tema lucr%rii : Sinteza circuitelor logice comina!ionale
Sco&ul lucr%rii: 'tu"ierea &ractic% (i cercetarea
&roce'ului "e 'intez% a circuitelor logice comina!ionale#
Varianta )$
*$ + ,-./$/0/1/2/3/4/$./$)/$567
*) + ,-$/)/5/8/0/1/3/4/$$/$8/$067
$# Con#tru- tabelul de ade%0r $entru 'unc-le lo)ce 41 " 4 (
5 + 161
6
6,
6+
41
4
2 2 2 2 2 1 21 2 2 2 1 1 1 2 2 1 2 2 1, 2 2 1 1 2 1+ 2 1 2 2 2 13 2 1 2 1 1 1
7 2 1 1 2 1 18 2 1 1 1 1 25 1 2 2 2 1 19 1 2 2 1 1 112
1 2 1 2 1 2
11
1 2 1 1 2 1
1
1 1 2 2 1 2
1,
1 1 2 1 1 2
1+
1 1 1 2 2 1
1 1 1 1 1 2 1
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3Ta#$ Tabelul de ade%0r
)# E'ectua- &n&!area 'unc-lor 41 " 4 $entru unt0- "!erour (
y1
=( ´ x3
∙ x4 )+( x1
∙ ´ x3 )+( ´ x
1∙ x
2∙ x
3 )+ ( ´ x2
∙ ´ x3
∙ ´ x4 )+( x1
∙ ´ x2
∙ ´ x4 )
y2
=( x1∙ ´ x
2∙ ´ x
3)+ ( x1∙ x
3∙ x
4 )+( x2∙ x
3∙ ´ x
4 )+( ´ x1
∙ x3
∙ ´ x4 )+( ´ x
1∙ ´ x
2∙ x
4 )+( ´ x1
∙ x2
∙ ´ x3 )
y1a=( x1+ x
3+ x4 ) ( x1+ x
2+ x3 ) ( ´ x
1+ x2+ ´ x
3+ ´ x4 ) ( ´ x
1+ ´ x2+ x
3 )
y2a
=( x1+ x
2+ ´ x
3 ) ( x1+ ´ x
2+ x
3+ ´ x
4 ) ( ´ x1
+ x2
+ x3
+ x4 ) ( ´ x
1+ ´ x
2+ x
3+ ´ x
4 )
5# Utl!:nd $ro$ret0-le de;Mor)an tran#'or&a- 'or&ad#<unct%0 $rn #etul de ele&ente(
,
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y1= ´( ´ x3∙ x 4 )+( x1 ∙ ´ x3 )+( ´ x1 ∙ x 2∙ x 3 )+ ( ´ x2∙ ´ x3 ∙ ´ x4 )+( x1 ∙ ´ x2 ∙ ´ x 4 )
y1
= ´( ´´ x
3∙ x
4 ) ∙ ( ´ x1
∙ ´ x3 ) ∙( ´´ x
1∙ x
2∙ x
3 ) ∙ ( ´´ x2
´ x3
´ x4 ) ∙( ´ x
1 ´ x2
´ x4)
y2= ´( x1∙ ´ x2∙ ´ x3)+ ( x1∙ x3 ∙ x4 )+( x2∙ x3 ∙ ´ x 4 )+( ´ x1∙ x3 ∙ ´ x4 )+( ´ x1 ∙ ´ x2∙ x 4 )+( ´ x1∙ x 2 ∙ ´ x3 )
y2
= ´( ´ x
1∙ ´ x
2∙ ´ x
3 ) ∙ ( ´ x1
∙ x3
∙ x4 ) ∙ ( ´ x
2∙ x
3∙ ´ x
4 ) ∙( ´´ x1
∙ x3
∙ ´ x4 ) ∙ ( ´´ x
1∙ ´ x
2∙ x
4 ) ∙ ( ´´ x1
∙ x2
∙ ´ x3 )
8# Con#tru- #c/e&a crcutulu lo)c $entru 'unc-le 41 " 4 =n#etul de ele&ente >I*NU(
+
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9ig#$ Sc/e&a crcutulu lo)c $entru 'unc-le 41
3
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9ig#) Sc/e&a crcutulu lo)c $entru 'unc-le 4
0# Pentru ecare crcut lo)c deter&na- co#tul " t&$ul dere-nere(Pentru 41 ( C ? 15@ Td ? Pentru 4 ( C ? 7@ Td ?
1# Pentru 'unc-a 41 deter&na- 'unc-a (canonc*d#<unct%0(
y1
=( ´ x3
∙ x4 )+( x1
∙ ´ x3 )+( ´ x
1∙ x
2∙ x
3 )+ ( ´ x2
∙ ´ x3
∙ ´ x4 )+( x1
∙ ´ x2
∙ ´ x4 )
'or&a canonc*con<unct%0( y
1=( x1
+ x3
+ x4 )( x
1+ x
2+ x
3 ) ( ´ x1
+ x2
+ ´ x3
+ ´ x4 ) ( ´ x
1+ ´ x
2+ x
3 )
7
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2# Pentru 'unc-a 4 #cre- toate cele 5 'or&e $e care lecunoa"te-(
adn 'or&a d#<unct%0 nor&al0(
'or&a >ISAU( y2
=( x1∙ ´ x
2∙ ´ x
3)+ ( x1∙ x
3∙ x
4 )+( x2∙ x
3∙ ´ x
4 )+( ´ x1
∙ x3
∙ ´ x4 )+( ´ x
1∙ ´ x
2∙ x
4 )+( ´ x1
∙ x2
∙ ´ x3 )
'or&a >I*NU>I*NU( y
2=
´( ´ x1
∙ ´ x2
∙ ´ x3 ) ∙ ( ´ x
1∙ x
3∙ x
4 ) ∙ ( ´ x2
∙ x3
∙ ´ x4 ) ∙( ´´ x
1∙ x
3∙ ´ x
4 ) ∙ ( ´´ x1
∙ ´ x2
∙ x4 ) ∙ ( ´´ x
1∙ x
2∙ ´ x
3 )
'or&a SAU>I*NU( y2=
´( ´ x1+ x2+ x3 ) ( ´ x1+ ´ x3+ ´ x4 ) ( ´ x2+ ´ x3+ x4 )( x1+ ´ x3+ x4 ) ( x1+ x2+ ´ x4 ) ( x1+ ´ x2+ x3 )
'or&a SAU*NUSAU(
y2=( ´
´ x1+ x2+ x3
)+ ( ´
´ x1+ ´ x3+ ´ x4
)+ ( ´
´ x2+ ´ x3+ x4
)+( ´
x1+ ´ x3+ x4
)+( ´
x1+ x2+ ´ x4
)+( ´
x1+ ´ x2+ x3
)
bdn 'or&a con<unct%0 nor&al0('or&a SAU>I(
y2
=( x1+ x
2+ ´ x
3 ) ( x1+ ´ x
2+ x
3+ ´ x
4 ) ( ´ x1
+ x2
+ x3
+ x4 ) ( ´ x
1+ ´ x
2+ x
3+ ´ x
4 )
'or&a >I*NU>I( y
2=( ´´ x
1∙ ´ x
2∙ x
3 ) ( ´´ x1
∙ x2
∙ ´ x3
∙ x4 ) ( ´ x
1∙ ´ x
2∙ ´ x
3∙ ´ x
4 ) ( ´ x1
∙ x2
∙ x3
∙ x4 )
'or&a >ISAU*NU( y2= ´( ´ x1∙ ´ x2∙ x 3)+ ( ´ x1∙ x2 ∙ ´ x3 ∙ x4 )+ ( x1 ∙ ´ x2 ∙ ´ x3∙ ´ x4 )+( x1 ∙ x2∙ x 3∙ x 4 )
'or&a SAU*NUSAU*NU( y
2=
´( ´ x1
+ x2
+ ´ x3 )+ ( ´ x
1+ ´ x
2+ x
3+ ´ x
4 )+( ´´ x1
+ x2
+ x3
+ x4)+( ´´ x
1+ ´ x
2+ x
3+ ´ x
4 )
Concluzie(n ur&a ace#te lucr0r de laborator a& a$lcat =n $ractc0 " a&
cercetat $roce#ul de #nte!0 a crcutelor lo)ce co&bna-onaleF a&e'ectuat &n&!area 'unc-lor lo)ce du$0 care a& real!at #ne!acrcutulu lo)c =n #etul de ele&ente >I*NUF " a& re$re!entat ace#te'unc- =n toate cele o$t 'or&e nor&ale.
8
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