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: 20-43460-1 then output will be high only for binary input combinations of 4, 6 and 0. 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.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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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:
20-43460-1 then output will be high only for binary input combinations of 4, 6 and 0.
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.
f) 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.
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: 20-43460-1 then output will be high only for binary input combinations of 4, 6 and 0. 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. f) 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.
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