Question

In Exercises 1–5 find the output of the given circuit.

Short answer

The output of the circuit is\(\overline {{\bf{xy}}} {\bf{ + x + }}\overline {\bf{z}} \).

Step-by-step solution

Defining of gates

There are three types of gates.

It is also called NOT gate.

Find the output

The first gate is AND gate so output is xy. The second gate is NOT gate so output is \(\overline {{\bf{xy}}} \).The third gate is NOT gate so output is\(\overline {\bf{z}} \). Fourth and fifth gate are OR gate so \({\bf{x + }}\overline {\bf{z}} \) and \(\overline {{\bf{xy}}} {\bf{ + x + }}\overline {\bf{z}} \)are outputs.

Therefore, the output of the circuit is\(\overline {{\bf{xy}}} {\bf{ + x + }}\overline {\bf{z}} \).