Derive the truth table for each of the following logic gates having two inputs.
(i)NOR gate
(ii)NAND gate
(iii)XNOR gate
Answer:
i)
Assume inputs A and B and out C
Output is 1 when all inputs are 0
ii)
Assume inputs A and B and out C
Output is 1 when both inputs are not 1
iii)
Assume inputs A and B and out C
Produces output of 1 when both inputs are at same level
Assume inputs A and B and out C
Output is 1 when all inputs are 0
ii)
Assume inputs A and B and out C
Output is 1 when both inputs are not 1
iii)
Assume inputs A and B and out C
Produces output of 1 when both inputs are at same level
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Simplify the expression (A+B)(A+C) stating the law of Boolean algebra applied at each step 
