GATE 2009
October 15, 2023NIC-NIELIT Scientist-B 2020
October 15, 2023Digital-Logic-Design
| Question 120 |
Consider the following multiplexor where 10, 11, 12, 13 are four data input lines selected by two address line combinations A1A0 = 00,01,10,11 respectively and f is “the output of the multiplexor. EN is the enable input.
The function f(x,y,z) implemented by the above circuit is:
| xyz’ | |
| xy+z | |
| x+y | |
| None of the above |
Question 120 Explanation:
F = (A’A0’10 + A’A0’11 + A’A0’12 + A1A013) EN
F = (xyz’ + xyz + y’zy + zy’)z’
= (xyz’ + xyz + y’z(y+1))z’
= (xyz’ + xyz + y’z)z’
= (xy(z+z’) + y’z)z’
= (xy + y’z)z’
= (xyz’ + y’zz’)
= (xyz’)
F = (xyz’ + xyz + y’zy + zy’)z’
= (xyz’ + xyz + y’z(y+1))z’
= (xyz’ + xyz + y’z)z’
= (xy(z+z’) + y’z)z’
= (xy + y’z)z’
= (xyz’ + y’zz’)
= (xyz’)
Correct Answer: A
Question 120 Explanation:
F = (A’A0’10 + A’A0’11 + A’A0’12 + A1A013) EN
F = (xyz’ + xyz + y’zy + zy’)z’
= (xyz’ + xyz + y’z(y+1))z’
= (xyz’ + xyz + y’z)z’
= (xy(z+z’) + y’z)z’
= (xy + y’z)z’
= (xyz’ + y’zz’)
= (xyz’)
F = (xyz’ + xyz + y’zy + zy’)z’
= (xyz’ + xyz + y’z(y+1))z’
= (xyz’ + xyz + y’z)z’
= (xy(z+z’) + y’z)z’
= (xy + y’z)z’
= (xyz’ + y’zz’)
= (xyz’)
Subscribe
Login
0 Comments