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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

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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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
Transcribed Image Text: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.
Transcribed Image Text: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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