Logic circuit

‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
Logic Circuits
‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬
٢

‫א‬٢٠٥‫א‬‫א‬
‫א‬‫א‬ J‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
-٩-
‫א‬‫א‬W‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ 
‫א‬‫א‬W‫א‬‫א‬‫א‬‫א‬‫א‬W
١K‫א‬‫א‬‫א‬‫א‬
٢K‫א‬‫א‬
٣K‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
 
‫א‬‫א‬W٤ 
‫א‬‫א‬W‫א‬‫א‬‫א‬ J٢

‫א‬٢٠٥‫א‬‫א‬
‫א‬‫א‬ J‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
-١٠-
‫א‬‫א‬W‫א‬‫א‬‫א‬Logic Circuits
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬K
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬K
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬ON
‫א‬‫א‬‫א‬‫א‬‫א‬“1”K  
‫א‬OFF‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬“0”
‫א‬‫א‬‫א‬‫א‬INPUT‫א‬
OUTPUT‫א‬‫א‬‫א‬(0,1)
‫א‬‫א‬“0”“1”‫א‬‫א‬
‫א‬2n
n‫א‬K‫א‬‫א‬‫א‬AB
‫א‬22
= 4 
BA
00
10
01
11
‫א‬(2-1)
‫א‬‫א‬‫א‬‫א‬F2E
‫א‬‫א‬3FCBAE‫א‬23
= 8 

‫א‬٢٠٥‫א‬‫א‬
‫א‬‫א‬ J‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
-١١-
 
CBA
000
100
010
110
001
101
011
111
(2-2)
‫א‬‫א‬‫א‬‫א‬(3)
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬FEAND‫א‬FEOR
‫א‬‫א‬NOTK 
٢ J١ ‫א‬‫א‬‫א‬
٢ J١ J١ ‫א‬‫א‬‫א‬FEAND GATE
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬(2-1)‫א‬
 ‫א‬       ‫א‬‫א‬ K  ‫א‬‫א‬  F  
AB‫א‬‫א‬‫א‬FE‫א‬‫א‬W
F = A.B (2-1)
‫א‬‫א‬‫א‬K

‫א‬٢٠٥‫א‬‫א‬
‫א‬‫א‬ J‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
-١٢-
‫א‬(2-1)
‫א‬AND 
22
=4‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬K 
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
TRUTH TABLEK‫א‬‫א‬FEAND‫א‬(2-3)
FBA
000
010
001
111
‫א‬(2-3)
‫א‬‫א‬AND‫א‬
‫א‬‫א‬F‫א‬“1”‫א‬“B = 1”،“A = 1”
‫א‬‫א‬?0?‫א‬‫א‬K 
 ‫א‬‫א‬   ?  ?  ‫א‬ ‫א‬‫א‬ (2-2) ‫א‬ ‫א‬  
‫א‬AB‫א‬‫א‬‫א‬F 
‫א‬(2-2)
F
A
B
&
_
_
_
A
B
F
A B
F

‫א‬٢٠٥‫א‬‫א‬
‫א‬‫א‬ J‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
-١٣-
‫א‬‫א‬AND‫א‬ 
 
‫א‬‫א‬‫א‬‫א‬“1”‫א‬‫א‬
‫א‬AB‫א‬ONK
‫א‬‫א‬??‫א‬‫א‬“1”‫א‬
‫א‬ON“1”‫א‬“0”‫א‬‫א‬
“0”K‫א‬(2-3)‫א‬AND??‫א‬K
‫א‬(2-3)
‫א‬AND‫א‬‫א‬
‫א‬‫א‬‫א‬W 
FCBA
0000
0100
0010
0110
0001
0101
0011
1111
‫א‬(2-4)
‫א‬‫א‬AND‫א‬‫א‬ 
F&_
_
_ _
B
A
C
A
B F
C

‫א‬٢٠٥‫א‬‫א‬
‫א‬‫א‬ J‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
-١٤-
‫א‬‫א‬‫א‬‫א‬??“1”‫א‬‫א‬“1”
‫א‬??“0”‫א‬‫א‬“0”K
٢ J١ J٢ ‫א‬‫א‬‫א‬??OR GATE
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬(2-4)‫א‬‫א‬
 ‫א‬       ‫א‬‫א‬  K ‫א‬‫א‬  F  
A,BK‫א‬‫א‬OR??‫א‬‫א‬W 
F = A + B (2-2)
‫א‬‫א‬‫א‬،‫א‬(2-5)‫א‬‫א‬‫א‬‫א‬
‫א‬(2-4) 
‫א‬OR 
FBA
000
110
101
111
‫א‬(2-5)
‫א‬‫א‬AND‫א‬ 
‫א‬‫א‬F‫א‬“1”‫א‬KON
“1”K‫א‬‫א‬??‫א‬‫א‬‫א‬(2-5)‫א‬
‫א‬‫א‬AB‫א‬‫א‬‫א‬F‫א‬‫א‬،‫א‬
F
A
B
_
_
_>=A
B
F

‫א‬٢٠٥‫א‬‫א‬
‫א‬‫א‬ J‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
-١٥-
‫א‬“1”‫א‬‫א‬ABAB
ON
(2-5)
‫א‬‫א‬OR‫א‬ 
 
‫א‬‫א‬??‫א‬‫א‬“1”
‫א‬‫א‬“1”‫א‬“0”K‫א‬(2-6)
‫א‬FE‫א‬‫א‬(2-6)‫א‬‫א‬‫א‬
‫א‬(2-6)
‫א‬OR‫א‬‫א‬
FCBA
0000
1100
1010
1110
1001
F
A
B F
C
F
A
B
_
_
_ _
>=
C

‫א‬٢٠٥‫א‬‫א‬
‫א‬‫א‬ J‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
-١٦-
1101
1011
1111
‫א‬(2-6)
‫א‬‫א‬OR‫א‬‫א‬
٢ J١ J٣ ‫א‬‫א‬‫א‬‫א‬‫א‬NOT GATE
‫א‬‫א‬‫א‬‫א‬‫א‬(2-7)‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬“1”
‫א‬“0”‫א‬K‫א‬‫א‬‫א‬‫א‬‫א‬W
AF = (2-3)
AAFAE‫א‬(2-7)‫א‬‫א‬‫א‬‫א‬K 
‫א‬(2-7)
‫א‬‫א‬OR 
FA
10
01
‫א‬(2-7)
‫א‬‫א‬NOT
‫א‬‫א‬?‫א‬?‫א‬‫א‬‫א‬(2-8)‫א‬A‫א‬
FE‫א‬F‫א‬‫א‬“1”‫א‬
‫א‬A‫א‬K
A F

‫א‬٢٠٥‫א‬‫א‬
‫א‬‫א‬ J‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
-١٧-
‫א‬(2-8) 
‫א‬‫א‬NOT‫א‬ 
٢ J٢ ‫א‬‫א‬‫א‬‫א‬ 
٢ J٢ J١ ‫א‬‫א‬‫א‬‫א‬??NAND GATE
‫א‬‫א‬‫א‬NOT AND‫א‬‫א‬‫א‬??AND
‫א‬‫א‬NOT‫א‬(2-9)K‫א‬‫א‬‫א‬‫א‬(2-
10)K 
‫א‬(2-9)‫א‬(2-10)‫א‬NAND
‫א‬AND‫א‬NOT‫א‬NAND
 
 ‫א‬   ‫א‬ ‫א‬‫א‬NAND    AB‫א‬  F
‫א‬(2-4)F=NOT(A AND B)،‫א‬(2-7)‫א‬
‫א‬‫א‬‫א‬K 
BAF ⋅= (2-4)
 
A
F
A
B
F
A
B
F

‫א‬٢٠٥‫א‬‫א‬
‫א‬‫א‬ J‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
-١٨-
‫ﺧﺮج‬‫اﻟﺪﺧﻞ‬
NANDANDBA
1000
1010
1001
0111
‫א‬(2-7) 
‫א‬‫א‬‫א‬NAND 
 ‫א‬    ‫א‬ ‫א‬‫א‬  ?   ? “0”  ‫א‬ 
‫א‬“1”“1”‫א‬‫א‬‫א‬‫א‬‫א‬“0”?
K?
٢ J٢ J٢‫א‬‫א‬‫א‬FENOR GATEW
‫א‬‫א‬‫א‬‫א‬OR‫א‬‫א‬OR
‫א‬NOT‫א‬(2-11)‫א‬،‫א‬(2-12)،
‫א‬‫א‬‫א‬‫א‬(2-5)K‫א‬(2-8)‫א‬‫א‬‫א‬‫א‬K
‫א‬(2-11)‫א‬(2-12)
‫א‬NOR‫א‬OR‫א‬NOT‫א‬NOR 
F= NOT(A+B) BA += (2-5)
 
‫اﻟ‬‫ﺨﺮج‬‫اﻟﺪﺧﻞ‬
A
B
F
A
B
F

‫א‬٢٠٥‫א‬‫א‬
‫א‬‫א‬ J‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
-١٩-
NORORAB
1000
0110
0101
0111
‫א‬(2-8)
‫א‬‫א‬‫א‬NOR 
 
‫א‬‫א‬‫א‬NOR“1”‫א‬‫א‬‫א‬“0”
“0”‫א‬‫א‬“1”?K?‫א‬‫א‬‫א‬NOR
‫א‬‫א‬
٢ J٢ J٣ ‫א‬‫א‬F‫א‬WENOT NOT GATE, BUFFER GATE
‫א‬‫א‬‫א‬NOT‫א‬(2-13)‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬F‫א‬E
‫א‬‫א‬(2-13)(2-14)‫א‬‫א‬‫א‬
(2-6)‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬،‫א‬
(2-9)K
‫א‬(2-13)‫א‬(2-14)
‫א‬‫א‬BUFFER‫א‬NOT‫א‬BUFFER 
F= NOT(NOT(A)) A= (2-6)
 
A F A F

‫א‬٢٠٥‫א‬‫א‬
‫א‬‫א‬ J‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
-٢٠-
‫اﻟ‬‫ﺨﺮج‬‫اﻟﺪﺧﻞ‬
BUFFERNOTA
010
101
010
101
‫א‬(2-9)
‫א‬‫א‬NOT NOT(BUFFER) 
٢ J٣ J٤ ‫א‬‫א‬( XOR )EXCLUSIVE OR GATE
‫א‬‫א‬‫א‬(2-15)‫א‬‫א‬‫א‬(2-7)‫א‬
‫א‬‫א‬‫א‬‫א‬(2-10)K
‫א‬(2-15)
‫א‬XOR 
F BABA += (2-7)
A
B
F

‫א‬٢٠٥‫א‬‫א‬
‫א‬‫א‬ J‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
-٢١-
‫اﻟﺨﺮج‬‫اﻟﺪﺧﻞ‬
FBA
000
110
101
011
‫א‬(2-10) 
‫א‬‫א‬XOR 
‫א‬‫א‬‫א‬“1”‫א‬‫א‬‫א‬‫א‬
“1”‫א‬“0”‫א‬‫א‬‫א‬‫א‬“1”‫א‬
‫א‬‫א‬“1”AB‫א‬‫א‬
‫א‬‫א‬K
٢ J٢ J٥ ‫א‬‫א‬EXCLUSIVE NOR GATE ( X NOR )
‫א‬‫א‬‫א‬(2-16)‫א‬‫א‬(2-8)‫א‬
‫א‬‫א‬‫א‬(2-10)K 
‫א‬‫א‬“1”‫א‬‫א‬
‫א‬‫א‬“1”“0”‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬K 
‫א‬(2-15)
‫א‬XNOR 
A
B
F

‫א‬٢٠٥‫א‬‫א‬
‫א‬‫א‬ J‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
-٢٢-
F BAAB += (2-8)
 
‫اﻟﺨﺮج‬‫اﻟﺪﺧﻞ‬
FBA
100
010
001
111
‫א‬(2-11)
‫א‬‫א‬XNOR
٢ J٣ ‫א‬‫א‬‫א‬W
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬W
(2-1)
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫؟‬
F BCAC +=
‫א‬
‫א‬‫א‬:
‫א‬‫א‬‫א‬‫א‬‫א‬??
ANDACA C‫א‬(2-17)
‫א‬‫א‬‫א‬‫א‬
‫א‬??ANDB CB C‫א‬(2-18) 

‫א‬٢٠٥‫א‬‫א‬
‫א‬‫א‬ J‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
-٢٣-
‫א‬(2-17)‫א‬(2-18)
‫א‬‫א‬(2-1)‫א‬‫א‬(2-1)
‫א‬‫א‬‫א‬‫א‬
‫א‬??ORB C , A CF‫א‬(2-19)
‫א‬(2-19)
‫א‬‫א‬OR(2-1) 
 
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬(2-20)‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬،‫א‬‫א‬‫א‬(2-12)K 
‫א‬(2-20)
‫א‬‫א‬‫א‬‫א‬(2-1)
FBCACCBA
B
C
BC
A
C
AC
AC
BC
F
A
C
B
C
F

‫א‬٢٠٥‫א‬‫א‬
‫א‬‫א‬ J‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
-٢٤-
000000
000100
000010
110110
000001
101101
000011
111111
‫א‬(2-12)‫א‬(2-1) 
(2-2)
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬:
F BABA +=
 
‫א‬
‫א‬‫א‬:
‫א‬‫א‬FABE‫א‬
‫א‬‫א‬??ANDAB‫א‬(2-21)
‫א‬‫א‬‫א‬‫א‬‫א‬(2-22)
‫א‬(2-21)‫א‬(2-22)
‫א‬‫א‬(2-2)‫א‬‫א‬(2-2) 
‫א‬‫א‬‫א‬‫א‬‫א‬??ORF
‫א‬(2-23) 
A
B
AB
A
AB
B

‫א‬٢٠٥‫א‬‫א‬
‫א‬‫א‬ J‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
-٢٥-
‫א‬(2-23) 
‫א‬‫א‬OR(2-2) 
 
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬(2-24)‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬،‫א‬‫א‬‫א‬(2-13)K
‫א‬(2-24)
‫א‬‫א‬‫א‬‫א‬(2-2)
FBABABABA
0001100
1100110
1011001
0000011
‫א‬(2-12)
‫א‬(2-2) 
(2-3)‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬W
F CACBBCA ++=
A
B
AB
AB
F
A
B
AB
AB
F

‫א‬٢٠٥‫א‬‫א‬
‫א‬‫א‬ J‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
-٢٦-
‫א‬W
‫א‬‫א‬‫א‬:
‫א‬‫א‬‫א‬‫א‬(2-25)
‫א‬‫א‬‫א‬‫א‬(2-26)
‫א‬‫א‬‫א‬‫א‬(2-27)
‫א‬(2-25)‫א‬(2-26)
‫א‬‫א‬(2-3)‫א‬‫א‬(2-3)
‫א‬(2-27)
‫א‬‫א‬(2-3) 
 
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬(2-28)‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬،‫א‬‫א‬‫א‬(2-14)K 
A
AC
C
B
C
A
ABC

‫א‬٢٠٥‫א‬‫א‬
‫א‬‫א‬ J‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
-٢٧-

‫א‬(2-28)
‫א‬‫א‬‫א‬‫א‬(2-3)
 
 
FCBA
0000
1100
0010
1110
1001
1101
1011
0111
‫א‬(2-14)
‫א‬(2-3)

‫א‬٢٠٥‫א‬‫א‬
‫א‬‫א‬ J‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
-٢٨-

‫א‬‫א‬‫א‬W
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬W 
i) )CB)(BA(F ++=
ii) F = AB+BC
iii)
‫א‬‫א‬‫א‬W 
K‫א‬‫א‬‫א‬‫א‬NAND‫א‬‫א‬‫א‬‫א‬
0.1 ms1.6 ms‫א‬‫א‬
0.3 ms1.2 ms
K‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬XOR
‫א‬‫א‬‫א‬W
K‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬(2-29)
K‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬(2-30)
 
‫א‬(2-29)

‫א‬٢٠٥‫א‬‫א‬
‫א‬‫א‬ J‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
-٢٩-
‫א‬(2-30) 

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