In the Boolean algebra $ Y=A \cdot B $ indicates that -

Question

In the Boolean algebra $ Y=A \cdot B $ indicates that -, output $ Y $ exists when either input $ A $ or input $ B $ exists., output $ Y $ exists only both inputs $ A $ and $ B $ exist., output $ Y $ exists when either input $ A $ exists or input $ B $. exists but not when both inputs $ A $ and $ B $ exist., product of $ A $ and $ B $ is $ Y $.

MARKS App · Accepted Answer

We have Y = A · B Output exists means that output Y is 1 . Case 1 : - A = 1 and B = 0 ⇒ Y = 1 · 0 = 0 Case 2 : - A = 0 and B = 1 ⇒ Y = 0 · 1 = 0 Case 3 : - A = 1 and B = 1 ⇒ Y = 1 · 1 = 1 Case 4 : - A = 0 and B = 0 ⇒ Y = 0 · 0 = 0 Hence, output exists only when both inputs exist.

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