Digital Logic Design4-bit Binary Adder / Subtractor 1. Assume A and B are two 4-bit signed numbers represented in 2's complement form. Find what are thelargest and smallest numbers they can represent? Create a table that show the binary and decimalequivalent of the 4-bit signed numbers.Signed DecimalBinary RepresentationEquivalentАзA2A1Ao 3. Note that in the class we studied only A + B, and A – B. We used a mode bit M to control if the circuit shouldcompute A+B or A-B. Here, we have three operations, which means 2 mode bits M1 Mo are required tocontrol the operation of the circuit.B:B1BoB3MA:AIAoCoutCia CoutCinCoutCin CoutCinFullAdderFullAdderFullFullAdderAdderSoThis circuit shows the Mode bit M, and two handles two operations, A + B, and A- B. You are required tomodify this circuit such that it can handle three operations, A+B, A-B, B-A. You would need two mode bits tohandle three operations.

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1. Assume A and B are two 4-bit signed numbers represented in 2's complement form. Find what are the largest and smallest numbers they can represent? Create a table that show the binary and decimal equivalent of the 4-bit signed numbers. Signed Decimal Binary Representation Equivalent A3 Az A1 Ao

1. Assume A and B are two 4-bit signed numbers represented in 2's complement form. Find what are the largest and smallest numbers they can represent? Create a table that show the binary and decimal equivalent of the 4-bit signed numbers. Signed Decimal Binary Representation Equivalent A3 Az A1 Ao

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Question

Digital Logic Design
4-bit Binary Adder / Subtractor

1. Assume A and B are two 4-bit signed numbers represented in 2's complement form. Find what are the
largest and smallest numbers they can represent? Create a table that show the binary and decimal
equivalent of the 4-bit signed numbers.
Signed Decimal
Binary Representation
Equivalent
Аз
A2
A1
Ao

3. Note that in the class we studied only A + B, and A – B. We used a mode bit M to control if the circuit should
compute A+B or A-B. Here, we have three operations, which means 2 mode bits M1 Mo are required to
control the operation of the circuit.
B:
B1
Bo
B3
M
A:
AI
Ao
Cout
Cia Cout
Cin
Cout
Cin Cout
Cin
Full
Adder
Full
Adder
Full
Full
Adder
Adder
So
This circuit shows the Mode bit M, and two handles two operations, A + B, and A- B. You are required to
modify this circuit such that it can handle three operations, A+B, A-B, B-A. You would need two mode bits to
handle three operations.

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