Semiconductor Electronics Materials Devices and Simple Circuits - Result Question 104

106. Following diagram performs the logic function of

[2003]

(a) XOR gate

(b) AND gate

(c) NAND gate

(d) OR gate

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Answer:

Correct Answer: 106. (b)

Solution:

  1. (b)

$X=\overline{A \cdot B}$

$\therefore Y=\bar{{}X}=\overline{\overline{A \cdot B}}$

$Y=A . B$ by Demorgan theorem

$\therefore$ This diagram performs the function of AND gate.

De morgan’s theorem - the complement of the whole sum is equal to the product of individual complements and vice - versa, i.e.,

$\overline{A+B}=\overline{A \cdot B}$ and $\overline{A \cdot B}=\bar{{}A}+\bar{{}B}$