Question

The Boolean equation of NOR gate is

• A. \( C = A + B \)
• B. \( C = \overline{A + B} \)
• C. \( C = A \cdot B \)
• D. \( C = \overline{A \cdot B} \)

Hint:

Remember the basic Boolean gates and their equations: - OR: \( A + B \) - AND: \( A \cdot B \) - NOT: \( \overline{A} \) - NAND: \( \overline{A \cdot B} \) - NOR: \( \overline{A + B} \) - XOR: \( A \oplus B = A\overline{B} + \overline{A}B \) - XNOR: \( \overline{A \oplus B} = AB + \overline{A}\overline{B} \)

Answer 1

The Correct Option is B

A NOR gate is a combination of an OR gate followed by a NOT gate.
The Boolean equation of an OR gate is \( A + B \).
The NOT gate inverts the output, so the Boolean equation of a NOR gate is the negation of the OR gate output: \( C = \overline{A + B} \).