The following truth table is given. What is Y equal to??ABCY00010011010001101000101011011111

(A')(B')(AB) where ' stands for complement.

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bae

  • Apr 21st, 2006
 

Can u explain how come the answer (A')(B')(AB)..............Here also C is present, but it is nowhere in answer..........for input ABC=000 output Y=1.........(A')(B')(AB)=110.......but Y=1........then how come the answer Y=(A')(B')(AB).........pls explain.

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srinivas.b

  • Jul 28th, 2007
 

the answer is ~(A|B)|C
~ = compliment
| = OR

Explanation:-

The i/p at C does not have any effect on the o/p. So we can safely use an OR gate to connect the A,B combination to C.

Now, consider the i/p's at A and B, we can notice that ;

A B C  Y      
0 0 0  1           even though the i/p at A and B is 0, the o/p is 1, so we can say that
0 0 1  1           the A, B combination is the compliment of the OR of the i/p's.
0 1 0  0
0 1 1  0
1 0 0  0
1 0 1  0
1 1 0  1
1 1 1  1

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