Digital Electronics And Logic Gates

The Exclusive-OR (XOR) gate outputs true when exactly one input is true. For inputs and , the Boolean expression is: This can be derived from the truth table: when or .
Answer: .

Step 1: Boolean Operations.
The Boolean expression 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 .
- (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 corresponds to an OR gate, option (1).