The role of xor and the formula

effect

XOR, binary operation. Reversible operation. 1 xor 1=0, 0 xor 0=0, 1 xor 0=1, 0 xor 1=1.a xor b operation method: convert a, b into binary number, and then compare, each digit If 0 or 1 is the same, then the result is 0. If it is different, take 1 and convert the result to the original number, which is the result. In oi, it is often used for bit operations.

Formula type

1, logical addition ("or" operation)

Logical addition is usually indicated by the symbol "+" or "∨". The logical addition rule is as follows: 0+0=0, 0∨0=0 0+1=1, 0∨1=1 1+0=1, 1∨0=1 1+1=1, 1∨1=1 As can be seen from the above equation, logical addition has the meaning of "or". That is to say, in a given logical variable, if either A or B has a value of 1, the logical addition result is 1; if both are 1, the logic is incremented to 1.

2, logical multiplication ("and" operation)

Logical multiplication is usually represented by the symbol "&TImes;" or "∧" or "·". The logical multiplication rules are as follows: 0&TImes;0=0, 0∧0=0, 0·0=0 0&TImes;1=0, 0∧1=0, 0·1=0 1&TImes;0=0, 1∧0= 0, 1·0=0 1×1=1, 1∧1=1, 1·1=1 It is not difficult to see that logical multiplication has the meaning of “and”. It means that only when the logical variables participating in the operation have a value of 1 at the same time, the logical product is equal to 1.

3, logical negation (non-operation)

Logical non-operations are also called logical no operations. The operation rules are: 0=1 Non-zero equals 1 1=0 Non-1 equals 0 4. XOR logical operation (half-plus operation) XOR operation is usually represented by the symbol “⊕”, and its operation rule is: 0⊕0= 0 0 is the same as 0, the result is 0 0⊕1=1 0 is the same as X, the result is 1 1⊕0=1 1 with 0 XOR, the result is 1 1⊕1=0 1 with 1 XOR, the result 0 is the difference between two logical variables, the output is 1

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