written 7.3 years ago by
deepakkobe1014
• 30
|
modified 2.3 years ago
by
pedsangini276
• 4.8k
|
Mumbai University > Electronics Engineering > Sem 3 > Digital circuits and design
Marks: 10M
Year: May 2016
|
written 7.3 years ago by
deepakkobe1014
• 30
|
ANS :
1) K-MAPS and simplification
For F1 consider it as F1(A,B,C,D)
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,
F2=$\bar{\mathbb{A}}~\overline{\mathbb{B}}~D~+~A~B~D~+~A~\overline{\mathbb{B}}~\overline{\mathbb{D}}$
For F3,
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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