24 Computer -- Number System and Conversion Boolean Logic

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Basic Logic Gates

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# AND gate/ Logical AND
→It is an electronic circuit used to perform logical multiplication(or AND operation) which is denoted by dot operator(.). So, its Boolean Expression is "A.B". It produces high output (1) when both the input are high, otherwise produces low output.

# OR gate/ Logical OR
→It is an electronic circuit used to perform logical addition(or OR operation) which is denoted by plus operator(+). So, its Boolean Expression is "A + B". It produces low output (1) when both the input are low, otherwise produces high output.

# NOT gate/ Logical NOT
→It is an electronic circuit used to perform logical complement(or NOT operation) which is denoted by single quote operator( ' ). So, its Boolean Expression is A'/B'. It produces high output if the input is low and vice-versa.

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Identity Law

It states that the sum of a variable and 0 is same as the variable itself. Likewise, multiplication of the variable with 1 is same as the variable itself. i.e.,➡ A + 0 = A➡ A.1= AProof: Hence, A + ...

Commutative Law

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Complement Law

It states that when the sum is performed between a variable and its complement, the result is 1. Likewise, when a multiplication is performed between a variable and its complement, the result is ze...

1's Compliment

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2’s compliment

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