Computer Architecture:I would like to know if this is the correct answer.The question is a. K-mapb. Sum the product terms. Red group, green group, and the final expression.Please see the example I attached. Please correct the work if it is wrong. Glven: Z(A, B, C) = (3, 4, 6, 7)Step 1: K-MapBCAO00Step 2: SOP formZ (1) + (2) + (3)According to the k-map01 111(1) = A'BC(2) = AB'C'(3) = ABTherefore:Z = A'BC + AB'C' + ABSo final expression is :Z = A'BC + AB'C' + AB5101 126(3) Example1. SOP form, Z= ΣA,B,C(1, 3, 6, 7)K-mapA' 0A 1a.B'C'000004BCAB'C0110+BC1111BC'1002b. Sum the product termsi. From red group we get product term A'Cii. From green group we get product term ABiii. Final expression (A'C + AB)

Answered: Computer Architecture: I would like to…

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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Computer Architecture: I would like to know if this is the correct answer. The question is a. K-map b. Sum the product terms. Red group, green group, and the final expression. Please see the example I attached. Please correct the work if it is wrong.

Glven: Z(A, B, C) = (3, 4, 6, 7)
Step 1: K-Map
BC
A
O
00
Step 2: SOP form
Z (1) + (2) + (3)
According to the k-map
01 11
1
(1) = A'BC
(2) = AB'C'
(3) = AB
Therefore:
Z = A'BC + AB'C' + AB
So final expression is :
Z = A'BC + AB'C' + AB
5
10
1 1
2
6
(3)

Example
1. SOP form, Z= ΣA,B,C(1, 3, 6, 7)
K-map
A' 0
A 1
a.
B'C'
00
0
0
0
4
BC
A
B'C
01
1
0
+
BC
11
1
1
BC'
10
0
2
b. Sum the product terms
i. From red group we get product term A'C
ii. From green group we get product term AB
iii. Final expression (A'C + AB)

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