14.11 You are given the two circuits as shown in Fig. 14.36. Show that circuit (a) acts as OR gate while the circuit (b) acts as AND gate.

14.11 A and B are the inputs and Y is the output of the given circuit. The left half of the given figure acts as the NOR gate, while the right half acts as the NOT gate

Hence the output of the NOR gate is $\stackrel{?}{A+B}$

This will be input for the NOT gate. Its output will be $\stackrel{?}{A+B}$ = A + B

So Y = A + B

Hence, this circuit functions as an OR gate.

A and B are the inputs and Y is the output of the given circuit. It can be observed from the following figure that the inputs of the right half NOR gate are the outputs of the two NOT gates.

Hence, the output of the given circuit can be written as:

Y = $\stackrel{?}{A+B}$ = $\stackrel{?}{A+B}$ = A + BHence this circuit functions as an AND gate.

<p><strong>14.11 </strong>A and B are the inputs and Y is the output of the given circuit. The left half of the given figure acts as the NOR gate, while the right half acts as the NOT gate</p><div><div><picture><source srcset="https://images.shiksha.com/mediadata/images/articles/1728033274php7PxSJ4_480x360.jpeg" media="(max-width: 500px)"><img src="https://images.shiksha.com/mediadata/images/articles/1728033274php7PxSJ4.jpeg" alt="" width="146" height="58"></picture></div></div><p>Hence the output of the NOR gate is <span contenteditable="false"> <math> <mover accent="true"> <mrow> <mrow> <mi>A</mi> <mo>+</mo> <mi>B</mi> </mrow> </mrow> <mo>?</mo> </mover> </math> </span></p><p>This will be input for the NOT gate. Its output will be <span contenteditable="false"> <math> <mover accent="true"> <mrow> <mrow> <mi>A</mi> <mo>+</mo> <mi>B</mi> </mrow> </mrow> <mo>?</mo> </mover> </math> </span>= A + B</p><p>So Y = A + B</p><p>Hence, this circuit functions as an OR gate.</p><p>A and B are the inputs and Y is the output of the given circuit. It can be observed from the following figure that the inputs of the right half NOR gate are the outputs of the two NOT gates.</p><div><div><picture><source srcset="https://images.shiksha.com/mediadata/images/articles/1728033370phpI7cjWA_480x360.jpeg" media="(max-width: 500px)"><img src="https://images.shiksha.com/mediadata/images/articles/1728033370phpI7cjWA.jpeg" alt="" width="163" height="56"></picture></div></div><p>Hence, the output of the given circuit can be written as:</p><p>Y = <span contenteditable="false"> <math> <mover accent="true"> <mrow> <mrow> <mi>A</mi> <mo>+</mo> <mi>B</mi> </mrow> </mrow> <mo>?</mo> </mover> </math> </span>= <span contenteditable="false"> <math> <mover accent="true"> <mrow> <mrow> <mi>A</mi> <mo>+</mo> <mi>B</mi> </mrow> </mrow> <mo>?</mo> </mover> </math> </span> = A + BHence this circuit functions as an AND gate.</p>

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