For each of the following circuits, determine the sum-of-products expression and simplify (reduce it to the minimal form) your result. A white circle represents a NOT. Attached is the image of the circuit.

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
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Computer Science: 

For each of the following circuits, determine the sum-of-products expression
and simplify (reduce it to the minimal form) your result. A white circle represents a NOT. Attached is the image of the circuit. 

A
B
A
B
A
D
B
C
(a)
(c)
(e)
N
X
W
o
A
B
А
ABC
D
205 205
D
(b)
(d)
-F (A, B, C, D)
Transcribed Image Text:A B A B A D B C (a) (c) (e) N X W o A B А ABC D 205 205 D (b) (d) -F (A, B, C, D)
Expert Solution
Step 1

SOP is the sum of products form.

a) F = ((A'B)'. (BC'))' = A'B+B'+C = (A'+B')(B+B')+C = A'+B'+C

Hence A'+B'+C is the reduced SOP.

b) F = ((A'.C)'.(B'.C)')' = A'C+B'C

It is already in reduced SOP form.

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