DIGITAL SYSTEM FOR ENGINEERING

Question

Implement the following Boolean function using:

a) 8x1 MUX b) 4x1 MUX

F = ABC' + A'BC' + A'BC + AB'C

Answer 1

a) With 8x1 MUX you can use all the three A, B, C as control,

and the data inputs basically become the truth table:

Control Data Due to minterm

ABC

000 0

001 0

010 1 A'BC'

011 1 A'BC

100 0

101 1 AB'C

110 1 ABC'

111 0

b) With 4x1 MUX we can chose (arbitrarily) AB as control.

Control Data Due to minterms

AB

00 0

01 1 A'BC' + A'BC

10 C AB'C

11 C' ABC'