MCQEasyJEE 2026Logic Gates

JEE Physics 2026 Question with Solution

Find the correct combination of AA, BB, CC and DD inputs which can cause the LED to glow.

Logic circuit with inputs A, B, C and D feeding NOR gates, whose outputs connect to an LED on the right side.
  • A

    01000100

  • B

    10001000

  • C

    00110011

  • D

    11011101

Answer

Correct answer:B

Step-by-step solution

Standard Method

Given: A logic circuit made of NOR gates with inputs AA, BB, CC, DD and an LED at the output.

Find: Which input combination makes the LED glow.

In NOR-gate circuits, the output is HIGH only when all inputs are LOW.

From the circuit, the LED glows only when the final output is logic HIGH.

The final NOR gate must therefore receive all LOW inputs. This occurs for:

A=1,  B=0,  C=0,  D=0A=1,\; B=0,\; C=0,\; D=0

So,

ABCD=1000ABCD = 1000

Therefore, the correct option is B.

Common mistakes

  • Assuming a NOR gate behaves like an OR gate. This is wrong because a NOR gate gives HIGH only when all its inputs are LOW. First determine the OR output, then invert it.

  • Checking only the first pair of inputs AA and BB and ignoring the lower gate involving CC and DD. The final output depends on all branches of the circuit, so every gate condition must be satisfied together.

  • Thinking the LED glows for a LOW output. In this question, the solution states that the LED glows only when the final output is logic HIGH. Use that condition before testing the options.

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