A board of directors has 4 budget officers; call them A, B, C, and D. Officers A

Question

A board of directors has 4 budget officers; call them A, B, C, and D. Officers A and B are vice presidents (VP's) on the board, but the other two members are not. An expenditure is authorized as long as a VP approves it. An expenditure can also be authorized if any two budget officers approve. Construct a circuit that represents authorization of expenditures. Let the inputs be A, B, C, and D. An input is TRUE if that member approves, and FALSE otherwise. The circuit's output should be TRUE if the expenditure is authorized, and FALSE otherwise.

Explanation / Answer

if vp approve --> A + B

if buget officers approves ---> CD

Thus budget will approve --> A+B+CD

we can degin cricuit for A+B+CD very easily using 2 OR and 1 AND gate.

1. one OR gate for A,B ----> A+B

2, one AND gate for C,D ----> CD

3. one OR for A+B and CD

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