Question

The Boolean expression $\mathrm{Y}=\mathrm{A} \overline{\mathrm{B}} \mathrm{C}+\overline{\mathrm{AC}}$ can be realised with which of the following gate configurations.
A. One 3-input AND gate, 3 NOT gates and one 2-input OR gate, One 2-input AND gate 
B. One 3-input AND gate, 1 NOT gate, One 2-input NOR gate and one 2-input OR gate 
C. 3-input OR gate, 3 NOT gates and one 2-input AND gate 
Choose the correct answer from the options given below:

• A. B, C Only
• B. A,B Only
• C. A, B, C Only
• D. A, C Only

Hint:

Use the Boolean expression to determine the correct gate configurations.

Answer 1

The Correct Option is B

1. Boolean Expression: \[ Y = A \overline{B} C + \overline{AC} \]

2. Gate Configurations:
- A. One 3-input AND gate, three NOT gates, and one 2-input OR gate, plus one 2-input AND gate.
- B. One 3-input AND gate, one NOT gate, one 2-input NOR gate, and one 2-input OR gate.
Thus, the correct answer is (2) A and B only.