For each Boolean Algebraic Expression below: • • First, simplify the following expressions using the rules (tricks) we derived in class such as De Morgan's theorems. SHOW ALL YOUR STEPS! Second, test your solution: о Using the question's initial algebraic expression, draw a symbolic logic circuit diagram (AND, OR, Inverter gates) with an accompanying truth table: Example truth table for: A + B AB out 00 0 01 1 10 1 11 1 о 1. A(A+B) 2. Now, using your simplified solution of the algebraic expression, draw a symbolic logic circuit diagram (AND, OR, Inverter gates) with an accompanying truth table. The truth tables should be the same! ABC + ABC + ABC 3. AB ABC + A 4. AB + (A+B)C + AB 5. ABC + (A+B+C) + ABCD 6. (BBC)(B+BC) (B + D)

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
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question

do 5 and 6 and show circuit diagram

For each Boolean Algebraic Expression below:
•
•
First, simplify the following expressions using the rules (tricks) we derived in class such
as De Morgan's theorems.
SHOW ALL YOUR STEPS!
Second, test your solution:
о
Using the question's initial algebraic expression, draw a symbolic logic circuit
diagram (AND, OR, Inverter gates) with an accompanying truth table:
Example truth table for: A + B
AB
out
00
0
01
1
10
1
11
1
о
1. A(A+B)
2.
Now, using your simplified solution of the algebraic expression, draw a symbolic
logic circuit diagram (AND, OR, Inverter gates) with an accompanying truth
table.
The truth tables should be the same!
ABC + ABC + ABC
3. AB ABC + A
4. AB + (A+B)C + AB
5. ABC + (A+B+C) + ABCD
6. (BBC)(B+BC) (B + D)
Transcribed Image Text:For each Boolean Algebraic Expression below: • • First, simplify the following expressions using the rules (tricks) we derived in class such as De Morgan's theorems. SHOW ALL YOUR STEPS! Second, test your solution: о Using the question's initial algebraic expression, draw a symbolic logic circuit diagram (AND, OR, Inverter gates) with an accompanying truth table: Example truth table for: A + B AB out 00 0 01 1 10 1 11 1 о 1. A(A+B) 2. Now, using your simplified solution of the algebraic expression, draw a symbolic logic circuit diagram (AND, OR, Inverter gates) with an accompanying truth table. The truth tables should be the same! ABC + ABC + ABC 3. AB ABC + A 4. AB + (A+B)C + AB 5. ABC + (A+B+C) + ABCD 6. (BBC)(B+BC) (B + D)
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