each Boolean Algebraic Expression below: • First, simplify the following expressions using the rules (tricks) we derived in class such as DeMorgan's theorems. O SHOW ALL YOUR STEPS! Second, test your solution: o 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 o 1. A(A + B) 2. ABC + ABC + ABC AB 3. AB + ABC + A 4. AB+ (A + B)C + AB 00 01 10 11 o 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! out 5. ABC + (A+B+C) + ABCD 6. (B + BC) (B + BC)(B+ D) 0 1 1 1

each Boolean Algebraic Expression below: • First, simplify the following expressions using the rules (tricks) we derived in class such as DeMorgan's theorems. O SHOW ALL YOUR STEPS! Second, test your solution: o 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 o 1. A(A + B) 2. ABC + ABC + ABC AB 3. AB + ABC + A 4. AB+ (A + B)C + AB 00 01 10 11 o 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! out 5. ABC + (A+B+C) + ABCD 6. (B + BC) (B + BC)(B+ D) 0 1 1 1

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

Show all steps

For each Boolean Algebraic Expression below:
• First, simplify the following expressions using the rules (tricks) we derived in class such
as DeMorgan's theorems.
O SHOW ALL YOUR STEPS!
. Second, test your solution:
o 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
01
10
11
o
1. A(A + B)
2. ABC + ABC + ABC
o 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!
0
1
1
1
3. AB + ABC + A
4. AB + (A + B)C + AB
5. ABC + (A + B + C) + ABCD
6. (B + BC) (B + BC) (B + D)

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