For the following circuits, first complete the truth table, and then write the Boolean equation for output Z based on the completed truth table. Write both the sum-of-products and product-of-sums.

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ISBN:9780133923605
Author:Robert L. Boylestad
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2 | EGR 240-HW 1 Num. Sys./Logic Gates/Digital Design/Bool. Alg.
2. For the following circuits, first complete the truth table, and then write the Boolean equation for
output Z based on the completed truth table. Write both the sum-of-products and product-of-sums.
Sum-of-products Z₁:_
Product-of-sums Z₁:
A
B
VY
Sum-of-products Z2:
Product-of-sums Z₂:
H
C
●
P/
OR
b
OR
a
b
C
AND
Z
Z
A B
0 0 0
1
1 0
1
1
0 0
0
1
1
0
00
0
0
1
1
1
1 1 1
A
0
0
0
1
1
1
1
Name
B C
0
0
1
0 1
0
1
0
1
0 0
0 1
1
0
1 1
a
a
b
b
C
C
Z₁
S
Z₂
Transcribed Image Text:2 | EGR 240-HW 1 Num. Sys./Logic Gates/Digital Design/Bool. Alg. 2. For the following circuits, first complete the truth table, and then write the Boolean equation for output Z based on the completed truth table. Write both the sum-of-products and product-of-sums. Sum-of-products Z₁:_ Product-of-sums Z₁: A B VY Sum-of-products Z2: Product-of-sums Z₂: H C ● P/ OR b OR a b C AND Z Z A B 0 0 0 1 1 0 1 1 0 0 0 1 1 0 00 0 0 1 1 1 1 1 1 A 0 0 0 1 1 1 1 Name B C 0 0 1 0 1 0 1 0 1 0 0 0 1 1 0 1 1 a a b b C C Z₁ S Z₂
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