Question

1. the input waveforms applied to a 3 - input and gate are as indicated in figure 3 - 80. show the output waveform in proper relation to the inputs with a timing diagram.

Explanation:

Step1: Understand AND gate operation

An AND gate outputs \(1\) (high) only when all inputs \(A\), \(B\), and \(C\) are \(1\) (high). Mathematically, \(X = A\cdot B\cdot C\).

Step2: Analyze each time - interval

• Look at the overlapping high - level periods of \(A\), \(B\), and \(C\) waveforms. For each segment of time:
• If \(A = 1\), \(B = 1\), and \(C = 1\) simultaneously, \(X = 1\).
• If at least one of \(A\), \(B\), or \(C\) is \(0\) (low), \(X = 0\) (low).

Answer:

The output waveform \(X\) will have high - level segments only when all three input waveforms \(A\), \(B\), and \(C\) are high simultaneously.