Minimize the logic expression obtained from below using Boolean Algebra rules (Please show the steps).

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
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Question 1). Minimize the logic expression obtained from below using Boolean Algebra rules (Please
show the steps).

A B C D

0 0 0 0

1 0 0 1

2 0 1 0

3 0 1 1

4 1 0 0

5 1 0 1

6 1 1 0

7 1 1 1

where

  • 1 : Yes
  • 0 : No

   MAP

        C' C

A'.B' 0  0

A'.B 0  1

A.B  1  1

A.B' 0  1

 

            MAP LAYOUT

                C'    C

A'.B'         0     1

A'.B         2      3   

A.B          6     7

A.B'         4     5

(3,7) B.C
(5,7) A.C
(6,7) A.B

Y = BC + AC + AB

 

Question 2) Draw the simplified logic circuit based on the minimum expression obtained from (Question 1).

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