# Help with Truth Tables

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#### armin999

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

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#### Ratchit

##### Well-Known Member
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. http://www.electronics-tutorials.ws/logic/logic_8.html

Ratch

#### Jugurtha

##### Member
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.

#### BrownOut

##### Banned
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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#### Iawia

##### Member
jugurtha is correct.
Result = P' + Q.

the heading 'if P then Q' lacks meaning.

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