Help with Truth Tables

A

armin999

New Member

• Jul 14, 2011

• #1

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

 

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R

Ratchit

Well-Known Member

• Jul 14, 2011

• #2

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

 

3v0

Coop Build Coordinator

Forum Supporter

• Jul 14, 2011

• #3

armin999

Please use meaningful titles for your posts.

 

Jugurtha

Member

• Jul 30, 2011

• #4

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.

 

K

KeepItSimpleStupid

Well-Known Member

Most Helpful Member

• Jul 30, 2011

• #5

Yo guys. It the Boolean IMP function. See: **broken link removed**

 

B

BrownOut

Banned

• Aug 1, 2011

• #6

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.

 

Last edited: Aug 1, 2011

Iawia

Member

• Aug 1, 2011

• #7

jugurtha is correct.
Result = P' + Q.

the heading 'if P then Q' lacks meaning.