Ask
Login
0
1.4kviews
Simplify the logic function using k-map $ \\ \; $ $f(A,B,C,D,) =\sum m(4,5,6,7,8,10,12) +d(2,9,11)$ $ \\ \; $ Draw the logic diagram using NAND gates only.
written 8.6 years ago by gravatar for teamques10 teamques10 ★ 69k •   modified 8.6 years ago

Mumbai University > COMPS > Sem 3 > Digital Logic Design and Analysis

Marks: 5 M

Year: Dec 2013
digital logic design
ADD COMMENT EDIT
1 Answer
0
3views
written 8.6 years ago by gravatar for teamques10 teamques10 ★ 69k

enter image description here

$$Y = \underline{A} B +A \underline{B}+A \underline{CD}$$

Let, $P = \underline{A} B, Q = A \underline{B}, R =A \underline{CD}$

Therefore, Y = P+Q+R

$\underline{\underline{Y}} = \underline{\underline{P+Q+R}} ….\text{taking double inversion}$

$Y = \underline{P}.\underline{Q}.\underline{R} ....\text{De Morgan’s Theorem}$

Therefore, $Y=\underline{\underline{AB}.\underline{A \ B}.\underline{A\underline{CD}}}$

enter image description here
ADD COMMENT EDIT
Please log in to add an answer.