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Help with Truth Tables

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armin999

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is any body know how to simplify this truth table with boolean algebra
 

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armin999,

According to the title description, the third line of your truth table, the result of P=F and Q=T, should be FALSE. After correcting the truth table, it is easily seen to be a description of a 2-input Exclusive-NOR gate. **broken link removed**

Ratch
 
Result= Q + NOT(P) ..

Result= NOT(P.NOT(Q))

Draw the truth table, P in columns and Q in lines (or the opposite), fill with "1" and "0" and it should be obvious.
 
1) Result=not(p) or (P and Q)
2) Distribute not(p): result=(not(p) or p) and (not(p) or q)
3) Use identities: result=1 and (not(p) or q)
4) Simplify: result= not(p) or q.
 
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