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Question: Input waveforms A and B as shown in Fig-I are applied to the combination of gates as shown in Fig-II...

Input waveforms A and B as shown in Fig-I are applied to the combination of gates as shown in Fig-II. Which of the waveforms shown in Fig. (i) to (iv) correctly represents the output waveform?

A

Fig.(i)

B

Fig.(ii)

C

Fig.(iii)

D

Fig. (iv)

Answer

Fig.(iii)

Explanation

Solution

Y = Aˉ+Bˉ\bar{A} + \bar{B}

Ž ABY001011101110\begin{matrix} A & B & Y \\ 0 & 0 & 1 \\ 0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 1 & 0 \end{matrix} Ž $10101010

}\begin{matrix} = 01111101 \end{matrix}$$ So, output is 'zero' when both inputs are 'one'. In all other cases output is one.