4 bits binary |Solid & Semi conductor device | JEE MAIN_2026

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JEE MAIN_2026

04-04-26_S2

Question

Two 4 bits binary numbers, $\mathrm{A}=1101$ and $\mathrm{B}=1010$ are given in the inputs of a logic circuit shown in figure below. The output $(\mathrm{Y})$ will be :

Select the correct option:

A

Y = 1101

B

Y = 0010

C

Y = 0111

D

Y = 1000

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

\begin{aligned} & \mathrm{Y}=\overline{\overline{\mathrm{A}} \cdot \mathrm{~B}}=\mathrm{A}+\overline{\mathrm{B}} \\ & \mathrm{~A}=1101 \\ & \mathrm{~B}=1010 \\ & \overline{\mathrm{~B}}=0101 \\ & \mathrm{~A}+\overline{\mathrm{B}}=1101 \end{aligned}

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