i) Propose a circuit which can sum together two 3-bit binary numbers. You can rely on notable digital circuits, no need to start from basic logic gates in this case. Explain how this circuit operates.

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Chapter1: Introduction
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Q2. Two integer numbers A and B are represented in pure binary by two bits, being
A=a₁a0 and B=b₁bo.
i)
A logic circuit provides the 4 bits output C=C3C2C1C0, as shown in the truth table
below.
FO
a₁
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
ao
og
0
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
bo
0
1
0
1
0
1
0
1
0
1
0
1
0
1
0
1
C3
0
0
0
C2
0
0
0
0
0
0 0
0
0
0
1
0
0
0
0
0
1
0
0
0
1
0
0
0
1
C1
1
0
1
0
0
0
0
0
1
0
1
0
0
0
1
0
1 0
0
0
Co
1
1
1
1
0
OO
0
0
0
1
1
1
1
0
0
0
0
Propose a circuit which can sum together two 3-bit binary numbers. You
can rely on notable digital circuits, no need to start from basic logic gates
in this case. Explain how this circuit operates.
Transcribed Image Text:Q2. Two integer numbers A and B are represented in pure binary by two bits, being A=a₁a0 and B=b₁bo. i) A logic circuit provides the 4 bits output C=C3C2C1C0, as shown in the truth table below. FO a₁ 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 ao og 0 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 bo 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 C3 0 0 0 C2 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 1 C1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 Co 1 1 1 1 0 OO 0 0 0 1 1 1 1 0 0 0 0 Propose a circuit which can sum together two 3-bit binary numbers. You can rely on notable digital circuits, no need to start from basic logic gates in this case. Explain how this circuit operates.
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