question regarding Unit 3
Posted by computergeek
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question regarding Unit 3 May 19, 2006 12:42AM |
Im not 100% clear on how to solve this question. From Exercise 3.8, (q) Prove the following using truth table:
(A+
' = A'B'
please will somebody explain and display the proof
(A+
' = A'B'
please will somebody explain and display the proof
|
Re: question regarding Unit 3 May 19, 2006 03:46AM |
Howzit.
A B (A+B ) (A+B )'
0 0 0 1
0 1 1 0
1 0 1 0
1 1 1 0
A B A' B' (A'B'
0 0 1 1 1
0 1 1 0 0
1 0 0 1 0
1 1 0 0 0
So (A+B )' = A'B'
Hope this helps.
Devesh
Edit: I know they don't line up properly so I bracketed the terms that go together.
A B (A+B ) (A+B )'
0 0 0 1
0 1 1 0
1 0 1 0
1 1 1 0
A B A' B' (A'B'
0 0 1 1 1
0 1 1 0 0
1 0 0 1 0
1 1 0 0 0
So (A+B )' = A'B'
Hope this helps.
Devesh
Edit: I know they don't line up properly so I bracketed the terms that go together.
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