際際滷

際際滷Share a Scribd company logo
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? ????????????? ????????????
? ????????????? ?????? ????? ????? ??????? ?????? ?? ????
???
? ???? ???? ?????? ???????
? TRUE ????? ??????
? ?????????????? ??????? ?????????? ?? ????? ??????
True=High =1
False = Low = 0
???? ?????? ???????????? ?????????? ??? ??????
1 ??? 0
???? ?????????????????
? ????????????? ???? ???????
? ????????????? ???? ????? ????? ??????? ??? ?????
? ?? ?? ???????? ???? ????? ???????
? ?????? ????? ??????? ??? ???? ???? ???????
???? ???????????????
??? ?????? ???????????? ???
???? ????
?????? ????
?????? ????
????? ????
? ?? ??? ??????? ????????????????? ??????? ??????????
?????? ????? ??? ??????? (Union), ???? (Intersection),
?????? ??? (Inversion) ?? ??????, ?????? ??? ??? ????
?????? ???? ????
??????????
???? ????(AND)
??????(OR)
??????(NOT)
?????? ????
? ?? ??? ?????????? ?????? ??????? ????????? ??????
???? ???
? ?????? ??????? ??????
?????? ????
?????????? (NAND)
?????? (NOR)
???????? ????????? (XOR)
??????(XNOR)
???? ???????????????
AND
OR
? NOT
? NAND
? NOR
? XOR
? XNOR
TRUE ?????
? TRUE ????? ???? ??????? ?????? ???? ????? ????? ????? ??
???? ?????? ????? ??? ??? ???? ?????? ??????
? ??????? ???????? ????? ????????? ????? ???????????????? ??????
???? ????? ???? ????? ??????
? ???? ??????? ???? ?????? ??????
? 1= ??? ,0=?????? ?????? ????? ???? ???
? ????? ?????? ??????? ?????????? ??????? ???????? ?????
??? ???? ????? ????? ????
??????? TRUE ?????
AND ????
C?????? ??????(ANSI/IEEE Standard )
--?????? F??? ?????? ??? A,B,C´´,N ??? ?????? ?????
C??? ?????? ??? ????? ????
C?????? HIGH ??? ????? ??????? HIGH
NCBAF ????? ....
BAF ??
AND ????????????
AND ?????? ?????
? ??????? ?????? ?????? ??? ????? ??? ???
? 1=??? ,0=??????
Truth Table of AND Gate
Input A Input B Output Y
LOW (0) LOW (0) LOW (0)
LOW (0) HIGH (1) LOW (0)
HIGH (1) LOW (0) LOW (0)
HIGH (1) HIGH (1) HIGH (1)
19
Y = A . B
Y= 0 * 0 = 0
Y = A . B
Y= 0 * 1 = 0
Y = A . B
Y= 1 * 0 = 0
Y = A . B
Y= 1 * 1 = 1
20
AND ????? ????? 3 ?? ???
A B C ABC
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 1
NOT ????
? ?? ????????? ????? ????? ????? ????? ?????? ????? ???
?????? ??????? ???? ???????? ???????? ?????? ????NOT
???? ????
? ? ??????????? 1 ??? ?????? 0,???? ????? 0 ??? ?????? 1
????
NOT ????????????
NOT ???????????? ??????
? NOT?????? ?????? ?? ? ??? ???
? ?? ????? ??????? ???????
? ??????? ??? ?????NOT ??????? ?????? ???
YA ?
NOT ??????TRUE ?????
26
OR ????
? ?? ???????? ?? ???????? ????? ????? ??? ?????? ???????
??????????????? ???? ???? OR????????
? ? ???????? ???? ????? 1 ??? ?????? 1 ???
OR ???????????
? ???X ??? Y ????OR ?????? ????? ??? F ????? ?????? ??
??? ?? ??????? ??????? ????? ???
F=X+Y
? ????? + ?????OR ??????? ?????? ???
OR ????????????
Truth Table of OR Gate
Input A Input B Output Y
LOW (0) LOW (0) LOW (0)
LOW (0) HIGH (1) HIGH (1)
HIGH (1) LOW (0) HIGH (1)
HIGH (1) HIGH (1) HIGH (1)
Y = A + B
Y= 1 + 1 = 1
Y = A + B
Y= 1 + 0 = 1
Y = A + B
Y= 0 + 1 = 1
Y = A + B
Y= 0 + 0 = 0
30
31
NAND ????
? NAND ???????? NOT??? AND ? ??? ?????? ??????? ?????
? ?? ?????????? ??????? AND ??????? ????? ??? ??? ??? ???
?????????????????? 1¨s complement??? ???
? ?? ??? ?? ???????? ????? ?????? ????
? NAND ???????????????? ?? ???? ???? ????? 0 ??? ??????
1 ????
? ???A ?? B ???? ????? ?? ??? Y ????? ?????? ?? ????????
??????? ?????? ???
? ????? ?? (.) ?????AND ??????? ?????? ??? ??? ??? ?????NOT
??????? ?????? ????
BAY .?
NAND ????????????
Truth Table of NAND Gate
Input A Input B Output Y
LOW (0) LOW (0) HIGH (1)
LOW (0) HIGH (1) HIGH (1)
HIGH (1) LOW (0) HIGH (1)
HIGH (1) HIGH (1) LOW (0)
100.0
.
???
?
Y
BAY
101.0
.
???
?
Y
BAY
100.1
.
???
?
Y
BAY
011.1
.
???
?
Y
BAY
35
36
NOR ????
? OR? NOT ?????? ??????? ?????????? NOR???????
? ??? OR?????? ???????? 1¨s complement???
? ?? ??? ?? ???????? ????? ? ???? ?????? ????
? ????? ??????? ????? 0 ?? ???? ????? ?????? 1 ????
NOR ???????????
? NOR?????????? ??? A ?B ??? ?????? Y ?? ???
? ????? + ????? OR ??????? ?????? ??? ??? ??? ?????NOT
??????? ?????? ????
BAY ??
NOR ????????????
Truth Table of NOR Gate
Input A Input B Output Y
LOW (0) LOW (0) HIGH (1)
LOW (0) HIGH (1) LOW (0)
HIGH (1) LOW (0) LOW (0)
HIGH (1) HIGH (1) LOW (0)
1000 ????
??
Y
BAY
0110 ????
??
Y
BAY
0101 ????
??
Y
BAY
0111 ????
??
Y
BAY
40
41
XOR ????
? XOR ?????? Exclusive-OR ??????? ???
? ?? ?????????? ???? 0 ? ???? 1 ???? ?????????? 1 ????
? ?????????????? 0 ????? 1 ?? ??? ????? ?????? ?????0 ????
? ?? ??? ?? ???????? ????? ?????? ?????
XOR ???????????
? XOR ????? ????? ??? A ? B ??? ?????? Y ?? ???
? ????????????? ????? ???????
? ????? ????? XOR ??????? ?????? ??? ??? ??? ?????NOT
??????? ?????? ????
BAY ??
?
BABAY ??
XOR ????????????
Truth Table of XOR Gate
000
0.11.00.00.0
???
????
??
Y
Y
BABAY
Input A Input B Output Y
LOW (0) LOW (0) LOW (0)
LOW (0) HIGH (1) HIGH (1)
HIGH (1) LOW (0) HIGH (1)
HIGH (1) HIGH (1) LOW (0)
110
1.10.01.01.0
???
????
??
Y
Y
BABAY
101
0.01.10.10.1
???
????
??
Y
Y
BABAY
000
1.00.10.11.1
???
????
??
Y
Y
BABAY
45
46
XNOR ????
? XNOR ?????? Exclusive-NOT OR??????? ???
? ?? ??????????? ???? 0 ? ???? 1 ??? ?????? 0 ????
? ?????????????? 0 ????? 1 ?? ??? ????? ?????? ????? 1 ????
? ?? ??? ?? ???????? ????? ?????? ?????
XNOR ???????????
? XOR ????? ????? ??? A ? B ??? ?????? Y ?? ???
? ????????? ???? ????? ???????
? ????? ????? XNOR ??????? ?????? ??? ??? ??? ?????NOT
??????? ?????? ????
BAY ??
?
BAABY .??
XNOR ????????????
Truth Table of XNOR Gate
110
1.10.00.00.0
.
???
????
??
Y
Y
BAABY
Input A Input B Output Y
LOW (0) LOW (0) HIGH (1)
LOW (0) HIGH (1) LOW (0)
HIGH (1) LOW (0) LOW (0)
HIGH (1) HIGH (1) HIGH (1)
000
0.11.01.01.0
.
???
????
??
Y
Y
BAABY
000
1.00.10.10.1
.
???
????
??
Y
Y
BAABY
101
0.01.11.11.1
.
???
????
??
Y
Y
BAABY
50
51
?? ?????? ??????? ?? ??????
? ?????????? ??????
? ???? ?????? ?????????
? TRUE ?????
? ????????????????? ??????? ?? ????? ,???????,???????
???????
???????

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Logic Gate

  • 2. ???? ??? ? ????????????? ???? ????? ?????? ?? ????? ??????????? ????????? ???? ???? ??? ? ?????? ? ???? ????? ?????? ????????? ??? ? 1870 ???? ???????? ??? ????? ?????? ? ?????? ?????? ?????? ????????? ??????? ????????? ??? ??? ???
  • 3. ???? ???? ??? ? ?? ???? ????????? ???? ???????? ?????????? ?????? ?? ??????? ????? ? ???? ?????????????? ???? ??????????? ?????? ???? ????? ?????? ???????????? ??? ? ???? ???? ???? ?????? ??????? ????? ??? ??????
  • 4. ? ???? ?????????????: ? ??? ?? ???????? ????????? ????????????????????? ?????? ????? ???? ? ????????????? ???????????? ? ????????????? ?????? ????? ????? ??????? ?????? ?? ???? ???
  • 5. ? ???? ???? ?????? ??????? ? TRUE ????? ?????? ? ?????????????? ??????? ?????????? ?? ????? ??????
  • 6. True=High =1 False = Low = 0 ???? ?????? ???????????? ?????????? ??? ?????? 1 ??? 0
  • 7. ???? ????????????????? ? ????????????? ???? ??????? ? ????????????? ???? ????? ????? ??????? ??? ????? ? ?? ?? ???????? ???? ????? ??????? ? ?????? ????? ??????? ??? ???? ???? ???????
  • 8. ???? ??????????????? ??? ?????? ???????????? ??? ???? ???? ?????? ???? ?????? ????
  • 9. ????? ???? ? ?? ??? ??????? ????????????????? ??????? ?????????? ?????? ????? ??? ??????? (Union), ???? (Intersection), ?????? ??? (Inversion) ?? ??????, ?????? ??? ??? ???? ?????? ???? ???? ?????????? ???? ????(AND) ??????(OR) ??????(NOT)
  • 10. ?????? ???? ? ?? ??? ?????????? ?????? ??????? ????????? ?????? ???? ??? ? ?????? ??????? ?????? ?????? ???? ?????????? (NAND) ?????? (NOR) ???????? ????????? (XOR) ??????(XNOR)
  • 12. ? NAND ? NOR ? XOR ? XNOR
  • 13. TRUE ????? ? TRUE ????? ???? ??????? ?????? ???? ????? ????? ????? ?? ???? ?????? ????? ??? ??? ???? ?????? ?????? ? ??????? ???????? ????? ????????? ????? ???????????????? ?????? ???? ????? ???? ????? ??????
  • 14. ? ???? ??????? ???? ?????? ?????? ? 1= ??? ,0=?????? ?????? ????? ???? ??? ? ????? ?????? ??????? ?????????? ??????? ???????? ????? ??? ???? ????? ????? ????
  • 16. AND ???? C?????? ??????(ANSI/IEEE Standard ) --?????? F??? ?????? ??? A,B,C´´,N ??? ?????? ????? C??? ?????? ??? ????? ???? C?????? HIGH ??? ????? ??????? HIGH NCBAF ????? .... BAF ??
  • 18. AND ?????? ????? ? ??????? ?????? ?????? ??? ????? ??? ??? ? 1=??? ,0=??????
  • 19. Truth Table of AND Gate Input A Input B Output Y LOW (0) LOW (0) LOW (0) LOW (0) HIGH (1) LOW (0) HIGH (1) LOW (0) LOW (0) HIGH (1) HIGH (1) HIGH (1) 19 Y = A . B Y= 0 * 0 = 0 Y = A . B Y= 0 * 1 = 0 Y = A . B Y= 1 * 0 = 0 Y = A . B Y= 1 * 1 = 1
  • 20. 20
  • 21. AND ????? ????? 3 ?? ??? A B C ABC 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1
  • 22. NOT ???? ? ?? ????????? ????? ????? ????? ????? ?????? ????? ??? ?????? ??????? ???? ???????? ???????? ?????? ????NOT ???? ???? ? ? ??????????? 1 ??? ?????? 0,???? ????? 0 ??? ?????? 1 ????
  • 24. NOT ???????????? ?????? ? NOT?????? ?????? ?? ? ??? ??? ? ?? ????? ??????? ??????? ? ??????? ??? ?????NOT ??????? ?????? ??? YA ?
  • 26. 26
  • 27. OR ???? ? ?? ???????? ?? ???????? ????? ????? ??? ?????? ??????? ??????????????? ???? ???? OR???????? ? ? ???????? ???? ????? 1 ??? ?????? 1 ???
  • 28. OR ??????????? ? ???X ??? Y ????OR ?????? ????? ??? F ????? ?????? ?? ??? ?? ??????? ??????? ????? ??? F=X+Y ? ????? + ?????OR ??????? ?????? ???
  • 30. Truth Table of OR Gate Input A Input B Output Y LOW (0) LOW (0) LOW (0) LOW (0) HIGH (1) HIGH (1) HIGH (1) LOW (0) HIGH (1) HIGH (1) HIGH (1) HIGH (1) Y = A + B Y= 1 + 1 = 1 Y = A + B Y= 1 + 0 = 1 Y = A + B Y= 0 + 1 = 1 Y = A + B Y= 0 + 0 = 0 30
  • 31. 31
  • 32. NAND ???? ? NAND ???????? NOT??? AND ? ??? ?????? ??????? ????? ? ?? ?????????? ??????? AND ??????? ????? ??? ??? ??? ??? ?????????????????? 1¨s complement??? ??? ? ?? ??? ?? ???????? ????? ?????? ????
  • 33. ? NAND ???????????????? ?? ???? ???? ????? 0 ??? ?????? 1 ???? ? ???A ?? B ???? ????? ?? ??? Y ????? ?????? ?? ???????? ??????? ?????? ??? ? ????? ?? (.) ?????AND ??????? ?????? ??? ??? ??? ?????NOT ??????? ?????? ???? BAY .?
  • 35. Truth Table of NAND Gate Input A Input B Output Y LOW (0) LOW (0) HIGH (1) LOW (0) HIGH (1) HIGH (1) HIGH (1) LOW (0) HIGH (1) HIGH (1) HIGH (1) LOW (0) 100.0 . ??? ? Y BAY 101.0 . ??? ? Y BAY 100.1 . ??? ? Y BAY 011.1 . ??? ? Y BAY 35
  • 36. 36
  • 37. NOR ???? ? OR? NOT ?????? ??????? ?????????? NOR??????? ? ??? OR?????? ???????? 1¨s complement??? ? ?? ??? ?? ???????? ????? ? ???? ?????? ???? ? ????? ??????? ????? 0 ?? ???? ????? ?????? 1 ????
  • 38. NOR ??????????? ? NOR?????????? ??? A ?B ??? ?????? Y ?? ??? ? ????? + ????? OR ??????? ?????? ??? ??? ??? ?????NOT ??????? ?????? ???? BAY ??
  • 40. Truth Table of NOR Gate Input A Input B Output Y LOW (0) LOW (0) HIGH (1) LOW (0) HIGH (1) LOW (0) HIGH (1) LOW (0) LOW (0) HIGH (1) HIGH (1) LOW (0) 1000 ???? ?? Y BAY 0110 ???? ?? Y BAY 0101 ???? ?? Y BAY 0111 ???? ?? Y BAY 40
  • 41. 41
  • 42. XOR ???? ? XOR ?????? Exclusive-OR ??????? ??? ? ?? ?????????? ???? 0 ? ???? 1 ???? ?????????? 1 ???? ? ?????????????? 0 ????? 1 ?? ??? ????? ?????? ?????0 ???? ? ?? ??? ?? ???????? ????? ?????? ?????
  • 43. XOR ??????????? ? XOR ????? ????? ??? A ? B ??? ?????? Y ?? ??? ? ????????????? ????? ??????? ? ????? ????? XOR ??????? ?????? ??? ??? ??? ?????NOT ??????? ?????? ???? BAY ?? ? BABAY ??
  • 45. Truth Table of XOR Gate 000 0.11.00.00.0 ??? ???? ?? Y Y BABAY Input A Input B Output Y LOW (0) LOW (0) LOW (0) LOW (0) HIGH (1) HIGH (1) HIGH (1) LOW (0) HIGH (1) HIGH (1) HIGH (1) LOW (0) 110 1.10.01.01.0 ??? ???? ?? Y Y BABAY 101 0.01.10.10.1 ??? ???? ?? Y Y BABAY 000 1.00.10.11.1 ??? ???? ?? Y Y BABAY 45
  • 46. 46
  • 47. XNOR ???? ? XNOR ?????? Exclusive-NOT OR??????? ??? ? ?? ??????????? ???? 0 ? ???? 1 ??? ?????? 0 ???? ? ?????????????? 0 ????? 1 ?? ??? ????? ?????? ????? 1 ???? ? ?? ??? ?? ???????? ????? ?????? ?????
  • 48. XNOR ??????????? ? XOR ????? ????? ??? A ? B ??? ?????? Y ?? ??? ? ????????? ???? ????? ??????? ? ????? ????? XNOR ??????? ?????? ??? ??? ??? ?????NOT ??????? ?????? ???? BAY ?? ? BAABY .??
  • 50. Truth Table of XNOR Gate 110 1.10.00.00.0 . ??? ???? ?? Y Y BAABY Input A Input B Output Y LOW (0) LOW (0) HIGH (1) LOW (0) HIGH (1) LOW (0) HIGH (1) LOW (0) LOW (0) HIGH (1) HIGH (1) HIGH (1) 000 0.11.01.01.0 . ??? ???? ?? Y Y BAABY 000 1.00.10.10.1 . ??? ???? ?? Y Y BAABY 101 0.01.11.11.1 . ??? ???? ?? Y Y BAABY 50
  • 51. 51
  • 52. ?? ?????? ??????? ?? ?????? ? ?????????? ?????? ? ???? ?????? ????????? ? TRUE ????? ? ????????????????? ??????? ?? ????? ,???????,??????? ???????