Question

Construct the operation XOR from the basic Boolean operations AND, OR, and NOT.

Answer 1

The construction of the Boolean operation "XOR" in terms of AND and OR is $AB' + A'B = XOR$

What is Boolean logic?

Boolean logic can be defined as a theory in mathematics which is either true (1) or false (0) and it was developed by the prominent British mathematician named George Boole.

The Boolean operators.

Basically, there are three (3) main Boolean operators and these include:

• AND (multiplication)

• NOT (complementation)

• OR (addition)

In Boolean logic, the Boolean operator "XOR" is an eXclusive OR and it is typically used in cryptography for comparing two (2) input bits and generates a single output bit.

An example of the Boolean operation "XOR" can be constructed in terms of AND and OR as $AB' + A'B = XOR$

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