Comp Architecture homework help 1 **Problem #01**: Using Boolean algebra techniques, simplify as much as possible.(a) \( A(A + B) \)(b) \( A(\overline{A} + AB) \)(c) \( BC + \overline{BC} \)(d) \( A(A + \overline{AB}) \)(e) \( \overline{A}BC + \overline{A}BC + A\overline{BC} \)---**Problem #02**: Using Boolean algebra techniques, simplify the expressions below.(a) \( (A + \overline{B})(A + C) \)(b) \( AB + \overline{A}BC + \overline{A}BCD + \overline{ABCDE} \)(c) \( AB + \overline{AB}C + A \)(d) \( (A + \overline{A})(AB + \overline{BC}) \)(e) \( AB + (\overline{A} + \overline{B})C + AB \)

Answered: Problem #01] Using Boolean algebra…

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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Comp Architecture homework help 1

**Problem #01**: Using Boolean algebra techniques, simplify as much as possible.

(a) \( A(A + B) \)

(b) \( A(\overline{A} + AB) \)

(c) \( BC + \overline{BC} \)

(d) \( A(A + \overline{AB}) \)

(e) \( \overline{A}BC + \overline{A}BC + A\overline{BC} \)

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**Problem #02**: Using Boolean algebra techniques, simplify the expressions below.

(a) \( (A + \overline{B})(A + C) \)

(b) \( AB + \overline{A}BC + \overline{A}BCD + \overline{ABCDE} \)

(c) \( AB + \overline{AB}C + A \)

(d) \( (A + \overline{A})(AB + \overline{BC}) \)

(e) \( AB + (\overline{A} + \overline{B})C + AB \)

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"Since you are posted multiple question with multiple sub parts , we will solve the first question with first three sub parts for you. To get remaining sub parts solved please repost the complete question and mention the sub parts to be solved. "

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Boolean Algebra

Boolean Algebra is the mathematical representation of Boolean function . In other ways it is used to analyze the digital gates and the circuit. Boolean expression can be simplified to another equivalent form by using Boolean Identities or laws of Boolean algebra.

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Fundamentals of Boolean Algebra and Digital Logics

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