Question: A logic circuit has 4 inputs and an output. The Output will be high for binary input combinations of only your last 3 digits (Highlighted) of your ID. For example, if your ID is: 20-43563-1 then output will be high only for binary input combinations of 5, 6 and 3. Now, a) Construct a truth table for the system. b) Write SOP expression and POS expression from the truth table. c) Find standardized SOP expression and standardized POS expression for the system.

Electric Motor Control
10th Edition
ISBN:9781133702818
Author:Herman
Publisher:Herman
Chapter22: Sequence Control
Section: Chapter Questions
Problem 6SQ: Draw a symbol for a solid-state logic element AND.
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Question: A logic circuit has 4 inputs and an output. The Output will be
high for binary input combinations of only your last 3 digits
(Highlighted) of your ID. For example, if your ID is: 20-43563-1 then
output will be high only for binary input combinations of 5, 6 and 3.
Now,
a) Construct a truth table for the system.
b) Write SOP expression and POS expression from the truth table.
c) Find standardized SOP expression and standardized POS expression
for the system.
d) Find the simplified expression using Boolean algebra and De
Morgan's theorem.
e) Find simplified expression using Karnaugh-Map.
) Design the most simplified expression using basic gates.
g) Design the most simplified expression using both the universal gates.
h) Design the most simplified expression using RTL logic.
i) Design the most simplified expression using DTL logic.
j) Design the most simplified expression using CMOS logic.
Transcribed Image Text:Question: A logic circuit has 4 inputs and an output. The Output will be high for binary input combinations of only your last 3 digits (Highlighted) of your ID. For example, if your ID is: 20-43563-1 then output will be high only for binary input combinations of 5, 6 and 3. Now, a) Construct a truth table for the system. b) Write SOP expression and POS expression from the truth table. c) Find standardized SOP expression and standardized POS expression for the system. d) Find the simplified expression using Boolean algebra and De Morgan's theorem. e) Find simplified expression using Karnaugh-Map. ) Design the most simplified expression using basic gates. g) Design the most simplified expression using both the universal gates. h) Design the most simplified expression using RTL logic. i) Design the most simplified expression using DTL logic. j) Design the most simplified expression using CMOS logic.
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