Question: Design a circuit which performs the arithmetic multiplication between two 2-bit unsigned inputs A = a 1 a 0 and B = b 1 b
Design a circuit which performs the arithmetic multiplication between two
2-bit unsigned inputs
A
=
a
1
a
0
and
B
=
b
1
b
0
, and outputs a 4-bit value
P
=
p
3
p
2
p
1
p
0
representing the product of
A
and
B
. Some examples of your circuits inputs and outputs
are listed below:
a
1
=
true
,
a
0
=
true
,
b
1
=
false
,
b
0
=
true
(
A
= 3
,
B
= 1
),
p
3
p
2
p
1
p
0
= 0011
(
P
= 3
)
a
1
=
true
,
a
0
=
false
,
b
1
=
true
,
b
0
=
true
(
A
= 2
,
B
= 3
),
p
3
p
2
p
1
p
0
= 0110
(
P
= 6
)
Justify your answer! Note that while the individual bits of
P
will be constructed as their
own circuits, all four can be constructed into a single circuit with four outputs. You may
optionally use a splitter component in Logisim if you wish to join the four 1-bit outputs
into a single 4-bit output.
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