Logic gates (6)

The logic behind the EX-NOR logic gate is, “If an even number of inputs to a logic gate is logic high, then its output is logic high”. EX-NOR logic gate is simply known as “even 1’s detector”. It is a complemented version of the logic EX-OR gate. It is also represented as X-NOR gate. EX-NOR means Exclusive-NOR.

The logic behind the EX-OR logic gate is, “If an odd number of inputs to a logic gate is logic high, then its output is logic high”. EX-OR logic gate is simply known as “Odd 1’s detector”. It is a complemented version of the logic EX-NOR gate. EX-OR gate is also represented as the X-OR gate. EX-OR means Exclusive-OR.

The logic behind the NOR logic gate is, “If any one of the inputs to a logic gate is logic high, then it’s output is logic low”. It’s operation is equivalent to the complement of logic OR gate.

The logic behind the NAND logic gate is, “If all the inputs to a logic gate is logic high, then only it’s output is logic low”. It’s operation is equivalent to the complement of logic AND gate.

The logic behind the OR logic gate is, “If any one of the inputs to a logic gate is logic high, then it’s output is logic high”.
It is represented with a Boolean expression of
Boolean Expression = A + B, Read it as A “OR” B.

The logic behind the AND logic gate is, “If all the inputs to a logic gate is logic high, then only it’s output is logic high”.
It is represented with a Boolean expression of
Boolean Expression = A . B, Read it as A “AND” B.