Design a circuit with optimum utilization of PLA to implement the following functions F1= $\sum m(0,2,5,8,9,11), F2=\sum m(1,3,8,10,13,15), F3=\sum m(0,1,5,7,9,12,14).$

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written 8.9 years ago by

deepakkobe1014 • 30

modified 3.8 years ago by

pedsangini276 • 4.8k

Mumbai University > Electronics Engineering > Sem 3 > Digital circuits and design

Marks: 10M

Year: May 2016

digital circuits and design

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written 8.9 years ago by

deepakkobe1014 • 30

ANS : 1) K-MAPS and simplification For F1 consider it as F1(A,B,C,D) enter image description here

F1=$\bar{\mathbb{A}}~\overline{\mathbb{B}}~\overline{\mathbb{D}}~+~\bar{\mathbb{B}}~\overline{\mathbb{C}}~\overline{\mathbb{D}}~+~A\overline{\mathbb{B}}~\overline{\mathbb{D}}~+~\bar{\mathbb{A}}~B~\overline{\mathbb{C}}~D$

For F2,

enter image description here

F2=$\bar{\mathbb{A}}~\overline{\mathbb{B}}~D~+~A~B~D~+~A~\overline{\mathbb{B}}~\overline{\mathbb{D}}$

For F3,

enter image description here

2) PLA Programming table:-

PRODUCT TERM NO.	PRODUCT TERM	INPUTS				OUTPUTS
A	B	C	D	F1	F2	F3
1	$\bar{\mathbb{A}}~\overline{\mathbb{B}}~\overline{\mathbb{D}}$	0	0	-	0	1	-	-
2	$\bar{\mathbb{B}}~\overline{\mathbb{C}}~\overline{\mathbb{D}}$	- …

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