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Which of the following equations would accurately describe a four-input OR gate when A = 1, B = 1, C = 0, and D = 0?

Question

Which of the following equations would accurately describe a four-input OR gate when A = 1, B = 1, C = 0, and D = 0?

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Solution

An OR gate is a digital logic gate that implements logical disjunction - it behaves according to the truth table to the right. A HIGH output (1) results if one or more of the inputs to the gate are HIGH (1). If none of the inputs are high, a LOW output (0) results. In other words, it gives the maximum binary input.

So, for a four-input OR gate with inputs A, B, C, and D, the output Y can be represented by the equation:

Y = A + B + C + D

Given that A = 1, B = 1, C = 0, and D = 0, substituting these values into the equation gives:

Y = 1 + 1 + 0 + 0 = 1

So, the output Y of the four-input OR gate would be 1.

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