22. Two integer numbers A and B are represented in pure binary by two bits, being A=a₁a0 and B=b₁bo. A logic circuit provides the 4 bits output C=C3C2C1C0, as shown in the truth table below. a₁ ao 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 Oooo 0 0 1 1 1 1 0 0 0 0 1 1 1 1 b₁ 00 1 1 OO 0 0 1 1 0 0 1 1 0 0 1 1 og bo C3 0 1 0 0 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 C2 0 0 0 0 0 0 1 0 0 1 0 1 51010 1 1 C1 0 0 0 0 1 0 1 0 0 0 0 OOOO 0 0 0 Co 1 1 1 1 0 0 0 0 1 1 1 1 0 oooo 0 0 0 Write the product of sume expression for as and sum of producto

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Question
Q2. Two integer numbers A and B are represented in pure binary by two bits, being
A=a₁a0 and B=b₁bo.
A logic circuit provides the 4 bits output C=C3C2C1C0, as shown in the truth table
below.
a)
a₁
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
ao
0
OO
0
0
0
1
1
1
1
0
0
0
0
1
1
1
1
b₁
0
0
1
1
0
0
1
1
0
0
1
1
0
0
1
1
og
bo
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
C3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
C2
0
0
0
0
0
0
1
0
0
1
0
1
0
0
1
1
C1
Co
1 1
1
1
1
0
0
1
0
0
0
0
0
1
0
1
0
0
0
0
0
OO
0
0
0
1
1
1
1
0
0
0
0
Write the product of sums expression for co and sum of products
expression for C₁
Transcribed Image Text:Q2. Two integer numbers A and B are represented in pure binary by two bits, being A=a₁a0 and B=b₁bo. A logic circuit provides the 4 bits output C=C3C2C1C0, as shown in the truth table below. a) a₁ 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 ao 0 OO 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 b₁ 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 og bo 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 C3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 C2 0 0 0 0 0 0 1 0 0 1 0 1 0 0 1 1 C1 Co 1 1 1 1 1 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 OO 0 0 0 1 1 1 1 0 0 0 0 Write the product of sums expression for co and sum of products expression for C₁
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