Question

Write a boolean expression using notation that evaluates to 1 whenever one or more of its variables (a, b, c, and d) are true.

Answer 1

A boolean expression that evaluates to true if any variables (a, b, c, d) are true is a || b || c || d or a ∨ b ∨ c ∨ d, where || or ∨ represents the logical OR operator.

Step-by-step explanation:

The student is asking for a boolean expression that evaluates to 1 (true) if any of its variables (a, b, c, or d) are true. A boolean expression that satisfies this condition can be written using the logical OR operator. The expression is:

a || b || c || d

This expression will evaluate to true (1) if at least one of the variables a, b, c, or d is true. If you are working with standard Boolean logic notation, it may also be written as:

a ∨ b ∨ c ∨ d

where ∨ represents the logical OR operator. This expression can also be thought of as a logical disjunction where the result is true if any of the individual conditions are true. Remember, in the context of Boolean algebra, 'true' is often represented as '1' and 'false' as '0'.