In the context of Boolean algebra, what does the equation (WX = A) signify when W and X are both HIGH?

In the context of Boolean algebra, what does the equation (WX = A) signify when W and X are both HIGH?

• A. A is HIGH
• B. A is LOW
• C. A is indeterminate
• D. W is or X is LOW

Answer: (A)

The equation \( WX = A \) represents a fundamental principle in Boolean algebra where the operation is typically an AND operation between variables W and X, resulting in A. When both W and X are HIGH (or logic level 1), the AND operation indicates that the result will also be HIGH. This is because an AND gate produces a true output only when all its inputs are true. Therefore, since both inputs W and X are HIGH, their product is also HIGH, which signifies that A is HIGH. This aligns directly with the truth table of the AND operation, where if both inputs are true, the output is true as well. Hence, the conclusion that A is HIGH when both W and X are HIGH is accurate and logically sound according to the principles of Boolean algebra.

The equation ( WX = A ) represents a fundamental principle in Boolean algebra where the operation is typically an AND operation between variables W and X, resulting in A. When both W and X are HIGH (or logic level 1), the AND operation indicates that the result will also be HIGH. This is because an AND gate produces a true output only when all its inputs are true. Therefore, since both inputs W and X are HIGH, their product is also HIGH, which signifies that A is HIGH.

This aligns directly with the truth table of the AND operation, where if both inputs are true, the output is true as well. Hence, the conclusion that A is HIGH when both W and X are HIGH is accurate and logically sound according to the principles of Boolean algebra.