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. a₁ 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 ao 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 b₁ 0 1 0 1 1 0 0 1 1 bo 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 1 C3 0 0 0 0 0 0 0 0 0 0 0 0 0 OO 0 0 1 C2 00003 0 0 1 0 0 1 0 1 0 0 1 1 C1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 со 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 d) Draw the Karnaugh maps for all outputs C3, C2, C₁, Co, and determine the optimised SOP Boolean expressions.
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. a₁ 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 ao 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 b₁ 0 1 0 1 1 0 0 1 1 bo 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 1 C3 0 0 0 0 0 0 0 0 0 0 0 0 0 OO 0 0 1 C2 00003 0 0 1 0 0 1 0 1 0 0 1 1 C1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 со 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 d) Draw the Karnaugh maps for all outputs C3, C2, C₁, Co, and determine the optimised SOP Boolean expressions.
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Transcribed Image Text:Q2. Two integer numbers A and B are represented in pure binary by two bits, being
A=a₁a0 and B=b₁bo.
d)
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
0
0
1
1
C1
1
0
1
0
0
0
0
0
1
0
1
Co
1
1
1
1
0
OO
0
0
0
1
1
1
1
0
0
0
0
0
0 0
ooo
0
0
Draw the Karnaugh maps for all outputs C3, C2, C₁, Co, and determine the
optimised SOP Boolean expressions.
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