Python中的逻辑门
逻辑门是任何数字电路的基本构建块。它需要一两个输入并根据这些输入产生输出。输出可能为高 (1) 或低 (0)。逻辑门使用二极管或晶体管实现。它也可以使用真空管、光学元件、分子等电磁元件构成。在计算机中,大多数电子电路都是由逻辑门组成的。逻辑门用于执行计算、数据存储或展示面向对象编程(尤其是继承的力量)的电路。
定义了七个基本逻辑门:与门、或门、非门、与非门、或非门、异或门、异或门。
1.与门
如果两个输入都为 1,则与门的输出为 1,否则为 0。
Python3
# Python3 program to illustrate
# working of AND gate
def AND (a, b):
if a == 1 and b == 1:
return True
else:
return False
# Driver code
if __name__=='__main__':
print(AND(1, 1))
print("+---------------+----------------+")
print(" | AND Truth Table | Result |")
print(" A = False, B = False | A AND B =",AND(False,False)," | ")
print(" A = False, B = True | A AND B =",AND(False,True)," | ")
print(" A = True, B = False | A AND B =",AND(True,False)," | ")
print(" A = True, B = True | A AND B =",AND(True,True)," | ")
Python3
# Python3 program to illustrate
# working of NAND gate
def NAND (a, b):
if a == 1 and b == 1:
return False
else:
return True
# Driver code
if __name__=='__main__':
print(NAND(1, 0))
print("+---------------+----------------+")
print(" | NAND Truth Table | Result |")
print(" A = False, B = False | A AND B =",NAND(False,False)," | ")
print(" A = False, B = True | A AND B =",NAND(False,True)," | ")
print(" A = True, B = False | A AND B =",NAND(True,False)," | ")
print(" A = True, B = True | A AND B =",NAND(True,True)," | ")
Python3
# Python3 program to illustrate
# working of OR gate
def OR(a, b):
if a == 1 or b ==1:
return True
else:
return False
# Driver code
if __name__=='__main__':
print(OR(0, 0))
print("+---------------+----------------+")
print(" | OR Truth Table | Result |")
print(" A = False, B = False | A OR B =",OR(False,False)," | ")
print(" A = False, B = True | A OR B =",OR(False,True)," | ")
print(" A = True, B = False | A OR B =",OR(True,False)," | ")
print(" A = True, B = True | A OR B =",OR(True,True)," | ")
Python3
# Python3 program to illustrate
# working of Xor gate
def XOR (a, b):
if a != b:
return 1
else:
return 0
# Driver code
if __name__=='__main__':
print(XOR(5, 5))
print("+---------------+----------------+")
print(" | XOR Truth Table | Result |")
print(" A = False, B = False | A XOR B =",XOR(False,False)," | ")
print(" A = False, B = True | A XOR B =",XOR(False,True)," | ")
print(" A = True, B = False | A XOR B =",XOR(True,False)," | ")
print(" A = True, B = True | A XOR B =",XOR(True,True)," | ")
Python3
# Python3 program to illustrate
# working of Not gate
def NOT(a):
return not a
# Driver code
if __name__=='__main__':
print(NOT(0))
print("+---------------+----------------+")
print(" | NOT Truth Table | Result |")
print(" A = False | A NOT =",NOT(False)," | ")
print(" A = True, | A NOT =",NOT(True)," | ")
Python3
# Python3 program to illustrate
# working of NOR gate
def NOR(a, b):
if(a == 0) and (b == 0):
return 1
elif(a == 0) and (b == 1):
return 0
elif(a == 1) and (b == 0):
return 0
elif(a == 1) and (b == 1):
return 0
# Driver code
if __name__=='__main__':
print(NOR(0, 0))
print("+---------------+----------------+")
print(" | NOR Truth Table | Result |")
print(" A = False, B = False | A NOR B =",NOR(False,False)," | ")
print(" A = False, B = True | A NOR B =",NOR(False,True)," | ")
print(" A = True, B = False | A NOR B =",NOR(True,False)," | ")
print(" A = True, B = True | A NOR B =",NOR(True,True)," | ")
Python3
# Python3 program to illustrate
# working of Not gate
def XNOR(a,b):
if(a == b):
return 1
else:
return 0
# Driver code
if __name__=='__main__':
print(XNOR(1,1))
print("+---------------+----------------+")
print(" | XNOR Truth Table | Result |")
print(" A = False, B = False | A XNOR B =",XNOR(False,False)," | ")
print(" A = False, B = True | A XNOR B =",XNOR(False,True)," | ")
print(" A = True, B = False | A XNOR B =",XNOR(True,False)," | ")
print(" A = True, B = True | A XNOR B =",XNOR(True,True)," | ")
输出:
True
+---------------+----------------
| AND Truth Table | Result |
A = False, B = False | A AND B = False |
A = False, B = True | A AND B = False |
A = True, B = False | A AND B = False |
A = True, B = True | A AND B = True |
2. 与非门
如果两个输入都为 1,则与非门(取反的 AND)输出为 0,否则为 1。
Python3
# Python3 program to illustrate
# working of NAND gate
def NAND (a, b):
if a == 1 and b == 1:
return False
else:
return True
# Driver code
if __name__=='__main__':
print(NAND(1, 0))
print("+---------------+----------------+")
print(" | NAND Truth Table | Result |")
print(" A = False, B = False | A AND B =",NAND(False,False)," | ")
print(" A = False, B = True | A AND B =",NAND(False,True)," | ")
print(" A = True, B = False | A AND B =",NAND(True,False)," | ")
print(" A = True, B = True | A AND B =",NAND(True,True)," | ")
输出:
True
+---------------+----------------
| NAND Truth Table | Result |
A = False, B = False | A AND B = True |
A = False, B = True | A AND B = True |
A = True, B = False | A AND B = True |
A = True, B = True | A AND B = False |
3. 或门
如果两个输入中的任何一个为 1,OR 门的输出为 1,否则为 0。
Python3
# Python3 program to illustrate
# working of OR gate
def OR(a, b):
if a == 1 or b ==1:
return True
else:
return False
# Driver code
if __name__=='__main__':
print(OR(0, 0))
print("+---------------+----------------+")
print(" | OR Truth Table | Result |")
print(" A = False, B = False | A OR B =",OR(False,False)," | ")
print(" A = False, B = True | A OR B =",OR(False,True)," | ")
print(" A = True, B = False | A OR B =",OR(True,False)," | ")
print(" A = True, B = True | A OR B =",OR(True,True)," | ")
输出:
False
+---------------+----------------+
| OR Truth Table | Result |
A = False, B = False | A OR B = False |
A = False, B = True | A OR B = True |
A = True, B = False | A OR B = True |
A = True, B = True | A OR B = True |
4. 异或门
如果两个输入中的任何一个输入不同,XOR 门的输出为 1,如果它们相同,则输出为 0。
Python3
# Python3 program to illustrate
# working of Xor gate
def XOR (a, b):
if a != b:
return 1
else:
return 0
# Driver code
if __name__=='__main__':
print(XOR(5, 5))
print("+---------------+----------------+")
print(" | XOR Truth Table | Result |")
print(" A = False, B = False | A XOR B =",XOR(False,False)," | ")
print(" A = False, B = True | A XOR B =",XOR(False,True)," | ")
print(" A = True, B = False | A XOR B =",XOR(True,False)," | ")
print(" A = True, B = True | A XOR B =",XOR(True,True)," | ")
输出:
0
+---------------+----------------+
| XOR Truth Table | Result |
A = False, B = False | A XOR B = 0 |
A = False, B = True | A XOR B = 1 |
A = True, B = False | A XOR B = 1 |
A = True, B = True | A XOR B = 0 |
5. 非门
它充当逆变器。它只需要一个输入。如果输入为 1,它会将结果反转为 0,反之亦然。
Python3
# Python3 program to illustrate
# working of Not gate
def NOT(a):
return not a
# Driver code
if __name__=='__main__':
print(NOT(0))
print("+---------------+----------------+")
print(" | NOT Truth Table | Result |")
print(" A = False | A NOT =",NOT(False)," | ")
print(" A = True, | A NOT =",NOT(True)," | ")
输出:
1
+---------------+----------------+
| NOT Truth Table | Result |
A = False | A NOT = 1 |
A = True, | A NOT = 0 |
6. 或非门
如果两个输入都为 0,则 NOR 门(取反或)给出 1 的输出,否则给出 0。
Python3
# Python3 program to illustrate
# working of NOR gate
def NOR(a, b):
if(a == 0) and (b == 0):
return 1
elif(a == 0) and (b == 1):
return 0
elif(a == 1) and (b == 0):
return 0
elif(a == 1) and (b == 1):
return 0
# Driver code
if __name__=='__main__':
print(NOR(0, 0))
print("+---------------+----------------+")
print(" | NOR Truth Table | Result |")
print(" A = False, B = False | A NOR B =",NOR(False,False)," | ")
print(" A = False, B = True | A NOR B =",NOR(False,True)," | ")
print(" A = True, B = False | A NOR B =",NOR(True,False)," | ")
print(" A = True, B = True | A NOR B =",NOR(True,True)," | ")
输出:
1
+---------------+----------------+
| NOR Truth Table | Result |
A = False, B = False | A NOR B = 1 |
A = False, B = True | A NOR B = 0 |
A = True, B = False | A NOR B = 0 |
A = True, B = True | A NOR B = 0 |
7. 异或门
XNOR 门(取反的 XOR)给出两个输入相同的输出 1,如果两者不同,则输出 0。
Python3
# Python3 program to illustrate
# working of Not gate
def XNOR(a,b):
if(a == b):
return 1
else:
return 0
# Driver code
if __name__=='__main__':
print(XNOR(1,1))
print("+---------------+----------------+")
print(" | XNOR Truth Table | Result |")
print(" A = False, B = False | A XNOR B =",XNOR(False,False)," | ")
print(" A = False, B = True | A XNOR B =",XNOR(False,True)," | ")
print(" A = True, B = False | A XNOR B =",XNOR(True,False)," | ")
print(" A = True, B = True | A XNOR B =",XNOR(True,True)," | ")
输出:
1
+---------------+----------------+
| XNOR Truth Table | Result |
A = False, B = False | A XNOR B = 1 |
A = False, B = True | A XNOR B = 0 |
A = True, B = False | A XNOR B = 0 |
A = True, B = True | A XNOR B = 1 |