0

1.6kviews

Implement the Boolean function using 8:1 multiplexer

written 7.2 years ago by logoutsiva • 0

modified 6.2 years ago by sushanth2071 • 0

$$F(A,B,C,D) = \bar A B\bar D+ACD+ \bar BCD+ \bar A \bar C D$$

digital system design

ADD COMMENT FOLLOW SHARE EDIT

1 Answer

0

10views

written 7.1 years ago by logoutsiva • 0

•   modified 7.1 years ago

Write 0 for complements e.g $\bar A B \bar D = 010$ and find all the possibilities for the remaining term.e.g $\bar A B \bar C \bar D = 0100$ or $\bar A B C \bar D = 0110$

Therefore, $F(A,B,C,D)= \sum m (1,3,4,5,6,11,15)$

Design Table -

Inputs	$\bar B \bar C \bar D$	$\bar B \bar C D$	$\bar B C \bar D$	$\bar B C D$	$ B \bar C \bar D$	$ B \bar C D$	$ B C \bar D$	$ B C D$
$\bar A$	0	$\underline 1$	2	$\underline 3$	$\underline 4$	$\underline 5$	$\underline 6$	7
A	8	9	10	$\underline {11}$	12	13	14	$\underline {15}$
Input to MUX	0	$\bar A$	0	1	$\bar A$	$\bar A$	$\bar A$	A

ADD COMMENT SHARE EDIT