Consider the following circuit.

Consider the following circuit.

Consider the following circuit.

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Question 97

Computer Awareness Boolean algebra Easy

<p>Consider the following circuit.</p> <p><img alt="" src="https://firebasestorage.googleapis.com/v0/b/mcaprep-d6081.appspot.com/o/663f20152c2e00b03a72f1ed.png?alt=media&token=1807d603-ed59-4cde-b48c-0f5a0679b726" /></p> <p>How many minimum numbers of two inputs NAND gates are required to design the above circuit?</p>

(A) 6
(B) 4
(C) 5
(D) 3
✓ Correct Answer: Option B Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

The circuit in the figure is a 2-input NOR gate: \(Q = \overline{A + B}\).

With 2-input NAND gates only:

  • 2 NANDs as inverters give \(\bar{A}\) and \(\bar{B}\).
  • 1 NAND gives \(\overline{\bar{A}\bar{B}} = A + B\).
  • 1 more NAND (as an inverter) gives \(\overline{A + B}\).

Minimum = 4 NAND gates.

Answer: (B) 4

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