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(D) The Boolean expression $A + B = Y$ represents the $OR$ gate operation.In Boolean algebra, the $+$ sign denotes the logical $OR$ operation.The trut

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$Y$ exists when $A$ exists or $B$ exists or both $A$ and $B$ exist.

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(D) The Boolean expression $A + B = Y$ represents the $OR$ gate operation.In Boolean algebra, the $+$ sign denotes the logical $OR$ operation.The truth table for an $OR$ gate is as follows:- If $A = 0$ and $B = 0$, then $Y = 0$.- If $A = 1$ and $B = 0$, then $Y = 1$.- If $A = 0$ and $B = 1$, then $Y = 1$.- If $A = 1$ and $B = 1$, then $Y = 1$.This means that the output $Y$ is $1$ (exists) if at least one of the inputs $A$ or $B$ is $1$ (exists). Therefore, $Y$ exists when $A$ exists, or $B$ exists, or both $A$ and $B$ exist.

In Boolean expression $A + B = Y$, the expression implies that:

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