Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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3) Boolean functions for the outputs c2(a₁,a0,b₁,bo), c₁(a₁,ao,b₁,bo) and co(a₁,ao,b₁,bo) shown by
the below truth table will be implemented in Part 2.
a. Find sum of product (SOP) representations of the Boolean functions
c2(a₁,ao,b₁,bo), c₁(ai,ao,b₁,bo) and co(a₁,ao,b₁,bo) defined by the below truth table.
b. Simplify the c2(ai,ao,b₁,bo), ci(ai,ao,b₁,bo) and co(ai,ao,b₁,bo) Boolean functions.
a₁ ao bi bo C2 C₁ Co
0000000
0 1 0 0 1
010010
11011
00001
01010
11001 1
11100
000010
001011
010100
10 011101
110
0 0 0 1 1
110 01100
111 0 1 0 1
111 1 110
10
000
0
0
0 0 1 1
010
1 0
0
0
0
1 1
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Transcribed Image Text:3) Boolean functions for the outputs c2(a₁,a0,b₁,bo), c₁(a₁,ao,b₁,bo) and co(a₁,ao,b₁,bo) shown by the below truth table will be implemented in Part 2. a. Find sum of product (SOP) representations of the Boolean functions c2(a₁,ao,b₁,bo), c₁(ai,ao,b₁,bo) and co(a₁,ao,b₁,bo) defined by the below truth table. b. Simplify the c2(ai,ao,b₁,bo), ci(ai,ao,b₁,bo) and co(ai,ao,b₁,bo) Boolean functions. a₁ ao bi bo C2 C₁ Co 0000000 0 1 0 0 1 010010 11011 00001 01010 11001 1 11100 000010 001011 010100 10 011101 110 0 0 0 1 1 110 01100 111 0 1 0 1 111 1 110 10 000 0 0 0 0 1 1 010 1 0 0 0 0 1 1
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