Page 182 - FUNDAMENTALS OF COMPUTER

182 Fundamentals of Computers NPP

Problem 3.36 àíZ 3.36
What is the value of Y; when : Y H$m _mZ Š`m hmoJm, O~…
(i) A = 0, B = 0
(ii) A = 1, B = 0
(iii) A = 1, B = 1
A B

Y

Solution: NPP hc:
(i) A = 0, B = 0
When A = 0, outputs of both AND gates A = 0 aIZo na XmoZm| AND JoQ>m| Ho$ AmCQ>nwQ>
will be 0. Therefore Y = 0 ⊕ 0 = 0 eyÝ` hmo OmE§JoŸ& AV… Y = 0 ⊕ 0 = 0
(ii) A = 1, B = 0
Output first AND is àW_ AND JoQ> H$m AmCQ>nwQ>
A.B = 1.0 = 0
Output of second AND is {ÛVr` AND JoQ> H$m AmCQ>nwQ>
AB. = 1 . =0 11
. = 1
Output of XOR is XOR JoQ> H$m AmCQ>nwQ
Y = 0 ⊕ = 1
1
Thus, Y = 1
(iii) A = 1, B = 1
Output of first AND is àW_ AND JoQ> H$m AmCQ>nwQ>
A.B = 1.1 = 1
Output of second AND is {ÛVr` AND JoQ> H$m AmCQ>nwQ>

AB. =11
. = 0
Output of XOR is XOR JoQ> H$m AmCQ>nwQ>

Y = 1 01⊕ =