Question

Y = A + B is the Boolean expression for ...........

• A. OR
  - gate
• B. AND
  - gate
• C. NOR
  - gate
• D. NAND
  - gate

Hint:

In Boolean algebra, the addition (+) operator represents an OR gate.

Answer 1

The Correct Option is A

Step 1: Boolean Operations.
The Boolean expression \(Y = A + B\) is the standard form for an OR gate, where the output is true if at least one of the inputs is true.
Step 2: Analyzing the options.

- (1) OR
- gate: Correct. This is the definition of an OR gate in Boolean algebra.
- (2) AND
- gate: Incorrect. For an AND gate, the expression would be \(Y = A \cdot B\).
- (3) NOR
- gate: Incorrect. A NOR gate would be the negation of an OR gate.
- (4) NAND
- gate: Incorrect. A NAND gate is the negation of an AND gate.

Step 3: Conclusion.
The Boolean expression \(Y = A + B\) corresponds to an OR gate, option (1).