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:
- (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 $\overline{A \cdot B}=\bar{{}A}+\bar{{}B}$
