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+7 votes

Consider the following circuit.


Which one of the following is TRUE?

  1. $f$ is independent of $X$

  2. $f$ is independent of $Y$

  3. $f$ is independent of $Z$

  4. None of $X, Y, Z$ is redundant

asked in Digital Logic by Veteran (69k points) | 1k views

3 Answers

+17 votes
Best answer
The expression will be

f = [ ( x.y' )'.(y.z) ]'=[ (x'+y).(y.z) ] =[ x'.y.z+y.z ]'=[ (x'+1).(y.z) ]'=[ 1.(y.z) ]'=[ y.z ]'=y'+z'

The final expression only contains y and z,

Therefore, answer will be (a) f is Independent of x
answered by (285 points)
selected by
f= (x'+y)'+(yz)'    //here i have applied "bubble OR Gate"



=y'+z'               //A+A'=1

Answer (A)
+4 votes

Simplify the given circuit, as dotted input OR gate is equal to NAND gate:

(A) is the correct option!

answered by Veteran (43.6k points)
edited by
–3 votes
ans a)
answered by Boss (5.1k points)
can you give solution??

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