AMU MCA Digital Logic Previous Year Questions (PYQs)
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Showing 4 questions
What are the minimum possible logic gates for the Boolean function
$F(w,x,y,z)=\Sigma(3,7,11,13,14,15)$ ?
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Solution
The given function simplifies to a minimal SOP form requiring 8 basic logic gates (after Karnaugh map minimization).
The Gray code of $32_{10}$ is:
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Solution
Binary of 32 is $100000$
Gray code = first bit same, rest XOR with previous bit
⇒ $110000$ → padded form 1110100
What is the value of Q in the following circuit?
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Solution
From the logic diagram:
Top gate gives $A\cdot B$
Lower combination gives $A\cdot C$ and $B\cdot C$
Final OR combines all three terms
So,
$Q = A\cdot B + A\cdot C + B\cdot C$
The cumulative addition of the four bits $(1 + 1 + 1 + 1)$ gives
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Solution
$1+1+1+1=4$ and binary of 4 is $100$.
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