Part 1 Adders Let's consider a 8 bits precision system: a. Represent the number 81 in this system b. Represent the numbers 42 in this system c. Perform the following operation S = 81 +42 d. Represent the number (-42) within this binary system using the 2's complement representation e. Perform the following subtraction R = 42 - 81 in this system and prove that R = - 39

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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Part 1 - Adders
Let's consider a 8 bits precision system:
a. Represent the number 81 in this system
b. Represent the numbers 42 in this system
c. Perform the following operation S = 81 +42
d. Represent the number (-42) within this binary system using the 2's complement
representation
e. Perform the following subtraction R = 42 - 81 in this system and prove that R = - 39
Let's consider that we have an IC that implements a four (4) bits adder.
Use this IC to design an 8 bits adder
g. Realize the addition S= 81 + 42 in this adder. You should write near each input and
output operands of the ICs the value of each bit representing the Sum S
f.
h. Using the same design of question f, and any other additional circuitry, design a circuit
that can realize a subtraction
i. Simulate the subtraction presented in e. by showing the value of each input and output
operands of the IC
j. Simulate the addition presented in c. in this adder/subtractor by showing the value of
each input and output operands of the IC
Transcribed Image Text:Part 1 - Adders Let's consider a 8 bits precision system: a. Represent the number 81 in this system b. Represent the numbers 42 in this system c. Perform the following operation S = 81 +42 d. Represent the number (-42) within this binary system using the 2's complement representation e. Perform the following subtraction R = 42 - 81 in this system and prove that R = - 39 Let's consider that we have an IC that implements a four (4) bits adder. Use this IC to design an 8 bits adder g. Realize the addition S= 81 + 42 in this adder. You should write near each input and output operands of the ICs the value of each bit representing the Sum S f. h. Using the same design of question f, and any other additional circuitry, design a circuit that can realize a subtraction i. Simulate the subtraction presented in e. by showing the value of each input and output operands of the IC j. Simulate the addition presented in c. in this adder/subtractor by showing the value of each input and output operands of the IC
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