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.
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
Section: Chapter Questions
Problem 1PE
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Question
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.

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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