What is the Boolean expression operation represented by F = A * B?

What is the Boolean expression operation represented by F = A * B?

• A. OR Operation
• B. AND Operation
• C. NOR Operation
• D. XOR Operation

Answer: (B)

The Boolean expression F = A * B represents the AND operation. In Boolean algebra, the multiplication (indicated by the asterisk or sometimes just juxtaposition) of two variables reflects the AND operation. This means that the output F will be true (or 1) only if both A and B are true (or 1). In terms of truth values, if A = 1 and B = 1, then F = 1; however, if either A = 0 or B = 0 (or both), then F = 0. This is foundational in digital logic and circuits, where the AND gate embodies this relationship. The other operations listed, such as OR, NOR, and XOR, each have distinct definitions and truth tables that reflect different output behaviors based on the inputs, making them not applicable in this case.

The Boolean expression F = A * B represents the AND operation. In Boolean algebra, the multiplication (indicated by the asterisk or sometimes just juxtaposition) of two variables reflects the AND operation. This means that the output F will be true (or 1) only if both A and B are true (or 1).

In terms of truth values, if A = 1 and B = 1, then F = 1; however, if either A = 0 or B = 0 (or both), then F = 0. This is foundational in digital logic and circuits, where the AND gate embodies this relationship. The other operations listed, such as OR, NOR, and XOR, each have distinct definitions and truth tables that reflect different output behaviors based on the inputs, making them not applicable in this case.