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Truth Tables - Computer Organization - Homework, Exercises of Computer Architecture and Organization

English and Foreign Languages UniversityComputer Architecture and Organization

These HOMEWOR NOTES are very easy to understand and very helpful to built a concept about the foundation of computers ORGANIZATION and Database Design.The key points in these slide are:Truth Tables, Logical Gates, Draw Gates, Logic Circuit, General Simplification Technique, Inverse Law, Identity Law, Boolean Algebra, Simplified Logic Circuit, Moore’s Law Predict, Kind of Curve, Gate Density

Typology: Exercises

2012/2013

Uploaded on 04/27/2013

arundhati
arundhati 🇮🇳

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1) Complete the truth tables for the logical gates and draw the gates.
0 0 0 0 0
000
0 00
0 0 0 0 0
111
1 11
1 1 1 1 1
00000
1 1 1 1 1
11111
A A A
A A A
BBBBB
A+B A+B
A
A B
.A B
.A + B
OR AND NOT NOR NAND XOR
(exclusive-OR)
2) Draw the logic circuit using ANDs, ORs, and NOT gates for F = .
ABC +ABC +ABC +BC
What is the complexity (sum of # inputs and # gates)?
Computer Organization Lecture 5 Name:________________
Lecture 5 Page 1
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  1. Complete the truth tables for the logical gates and draw the gates.

A B A+B A^ B^ A B.^ A^ A A B A+B A B A B.^ A B A + B

OR AND NOT^ NOR NAND^^ (exclusive-OR) XOR

  1. Draw the logic circuit using ANDs, ORs, and NOT gates for F = ABC + ABC + ABC + BC. What is the complexity (sum of # inputs and # gates)?

Computer Organization Lecture 5 Name:________________

Lecture 5 Page 1

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  1. Using Boolean Algebra simplify F= ABC + ABC + ABC + BC.

  2. Draw the simplified logic circuit using ANDs, ORs, and NOT. What is the complexity (sum of # inputs and # gates)?

Computer Organization Lecture 5 Name:________________

Lecture 5 Page 2

General Simplification Technique

  1. Look for two produces that have one variable negated ... + XYZ + ... + XYZ + ...
  2. “Factor out” common terms (distr. law) ... + XZ Y + Y + ...
  3. Apply inverse law ... + XZ 1 + ...
  4. Apply identity law ... + XZ + ...

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