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Page No 512: - Chapter 14 - Semiconductors - Additional Exercise Solutions - Ncert Solutions class 12 - Physics


Question 14.19:

Write the truth table for the circuits given in Fig. 14.48 consisting of NOR gates only. Identify the logic operations (OR, AND, NOT) performed by the two circuits.

https://img-nm.mnimgs.com/img/study_content/curr/1/12/16/258/8066/NS_29-10-08_Sravana_12_Physics_14_19_NRJ_LVN_html_m6d6ad49.jpg

Answer:

(a) A acts as the two inputs of the NOR gate and Y is the output, as shown in the following figure. Hence, the output of the circuit ishttps://img-nm.mnimgs.com/img/study_content/curr/1/12/16/258/8066/NS_29-10-08_Sravana_12_Physics_14_19_NRJ_LVN_html_2893b2fe.gif .

https://img-nm.mnimgs.com/img/study_content/curr/1/12/16/258/8066/NS_29-10-08_Sravana_12_Physics_14_19_NRJ_LVN_html_76e4bf45.jpg

https://img-nm.mnimgs.com/img/study_content/curr/1/12/16/258/8066/NS_29-10-08_Sravana_12_Physics_14_19_NRJ_LVN_html_f6101f7.gif

The truth table for the same is given as:

 

A

Yhttps://img-nm.mnimgs.com/img/study_content/curr/1/12/16/258/8066/NS_29-10-08_Sravana_12_Physics_14_19_NRJ_LVN_html_24ea0bd.gif

0

1

1

0

(b) A and B are the inputs and Y is the output of the given circuit. By using the result obtained in solution (a), we can infer that the outputs of the first two NOR gates arehttps://img-nm.mnimgs.com/img/study_content/curr/1/12/16/258/8066/NS_29-10-08_Sravana_12_Physics_14_19_NRJ_LVN_html_6c53c074.gif as shown in the following figure.This is the truth table of a NOT gate. Hence, this circuit functions as a NOT gate.

https://img-nm.mnimgs.com/img/study_content/curr/1/12/16/258/8066/NS_29-10-08_Sravana_12_Physics_14_19_NRJ_LVN_html_m64a49272.jpg

https://img-nm.mnimgs.com/img/study_content/curr/1/12/16/258/8066/NS_29-10-08_Sravana_12_Physics_14_19_NRJ_LVN_html_m2a120b26.gif are the inputs for the last NOR gate. Hence, the output for the circuit can be written as:

https://img-nm.mnimgs.com/img/study_content/curr/1/12/16/258/8066/NS_29-10-08_Sravana_12_Physics_14_19_NRJ_LVN_html_m3ec414fd.gif

The truth table for the same can be written as:

This is the truth table of an AND gate. Hence, this circuit functions as an AND gate

A

B

Y (=AB)

0

0

0

0

1

0

1

0

0

1

1

1