Digital Fundamentals (11th Edition)
11th Edition
ISBN: 9780132737968
Author: Thomas L. Floyd
Publisher: PEARSON
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Chapter 2, Problem 13ST
Program Plan Intro
To find the correct decimal number for given binary number in the
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I would like to get help to resolve the following case
Last Chance Securities
The IT director opened the department staff meeting today by saying, "I've got some good news and
some bad news. The good news is that management approved the payroll system project this morning.
The new system will reduce clerical time and errors, improve morale in the payroll department, and avoid
possible fines and penalties for noncompliance. The bad news is that the system must be installed by
January 1st in order to meet new federal reporting rules, all expenses from now on must be approved in
advance, the system should have a modular design if possible, and the vice president of finance would
like to announce the new system in a year-end report if it is ready by mid-December."
Tasks
1. Why is it important to define the project scope? How would you define the scope of the payroll
project in this case?
2. Review each constraint and identify its characteristics: present versus future, internal versus exter-
nal, and mandatory versus desirable.
3. What…
2. Signed Integers
Unsigned binary numbers work for natural numbers, but many calculations use negative
numbers as well. To deal with this, a number of different methods have been used to represent
signed numbers, but we will focus on two's complement, as it is the standard solution for
representing signed integers.
2.1 Two's complement
• Most significant bit has a negative value, all others are positive. So, the value of an n-digit
-2
two's complement number can be written as: Σ2 2¹ di 2n-1 dn
• Otherwise exactly the same as unsigned integers.
i=0
-
• A neat trick for flipping the sign of a two's complement number: flip all the bits (0 becomes 1,
or 1 becomes 0) and then add 1 to the least significant bit.
• Addition is exactly the same as with an unsigned number.
2.2 Exercises
For questions 1-3, answer each one for the case of a two's complement number and an
unsigned number, indicating if it cannot be answered with a specific representation.
1. (15 pts) What is the largest integer…
Chapter 2 Solutions
Digital Fundamentals (11th Edition)
Ch. 2.1 - Prob. 1CUCh. 2.1 - Prob. 2CUCh. 2.2 - Prob. 1CUCh. 2.2 - Prob. 2CUCh. 2.2 - Prob. 3CUCh. 2.3 - Prob. 1CUCh. 2.3 - Prob. 2CUCh. 2.4 - Prob. 1CUCh. 2.4 - Prob. 2CUCh. 2.4 - Prob. 3CU
Ch. 2.5 - Prob. 1CUCh. 2.5 - Prob. 2CUCh. 2.6 - Prob. 1CUCh. 2.6 - Prob. 2CUCh. 2.6 - Prob. 3CUCh. 2.6 - Prob. 4CUCh. 2.7 - Prob. 1CUCh. 2.7 - Prob. 2CUCh. 2.7 - Prob. 3CUCh. 2.7 - What is the sign of the product when two negative...Ch. 2.7 - Prob. 5CUCh. 2.7 - What is the sign of the quotient when a positive...Ch. 2.7 - Prob. 7CUCh. 2.8 - Prob. 1CUCh. 2.8 - Prob. 2CUCh. 2.8 - Prob. 3CUCh. 2.8 - Prob. 4CUCh. 2.8 - Prob. 5CUCh. 2.8 - Prob. 6CUCh. 2.9 - Prob. 1CUCh. 2.9 - Prob. 2CUCh. 2.9 - Prob. 3CUCh. 2.9 - Prob. 4CUCh. 2.10 - What is the binary weight of each 1 in the...Ch. 2.10 - Convert the following decimal numbers to BCD 6 15...Ch. 2.10 - Prob. 3CUCh. 2.10 - Prob. 4CUCh. 2.11 - Prob. 1CUCh. 2.11 - Prob. 2CUCh. 2.11 - Prob. 3CUCh. 2.12 - Prob. 1CUCh. 2.12 - Prob. 2CUCh. 2.12 - Prob. 3CUCh. 2.12 - Prob. 4CUCh. 2.12 - Prob. 5CUCh. 2 - The decimal number system is a weighted system...Ch. 2 - Prob. 2TFQCh. 2 - Prob. 3TFQCh. 2 - Prob. 4TFQCh. 2 - Prob. 5TFQCh. 2 - Prob. 6TFQCh. 2 - Prob. 7TFQCh. 2 - The hexadecimal number system has 16 characters,...Ch. 2 - BCD stands for binary coded decimalCh. 2 - Prob. 10TFQCh. 2 - Prob. 11TFQCh. 2 - Prob. 12TFQCh. 2 - Prob. 1STCh. 2 - Prob. 2STCh. 2 - Prob. 3STCh. 2 - The decimal number 17 is equal to the binary...Ch. 2 - The decimal number 175 is equal to the binary...Ch. 2 - Prob. 6STCh. 2 - Prob. 7STCh. 2 - Prob. 8STCh. 2 - Prob. 9STCh. 2 - Prob. 10STCh. 2 - Prob. 11STCh. 2 - Prob. 12STCh. 2 - Prob. 13STCh. 2 - Prob. 14STCh. 2 - Prob. 15STCh. 2 - Prob. 16STCh. 2 - Prob. 17STCh. 2 - Prob. 18STCh. 2 - Prob. 19STCh. 2 - Prob. 20STCh. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - How high can you count with four decimal digits?Ch. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - What is the highest decimal number that can be...Ch. 2 - Prob. 9PCh. 2 - Prob. 10PCh. 2 - Prob. 11PCh. 2 - Prob. 12PCh. 2 - Prob. 13PCh. 2 - Prob. 14PCh. 2 - Prob. 15PCh. 2 - Prob. 16PCh. 2 - Prob. 17PCh. 2 - Prob. 18PCh. 2 - Prob. 19PCh. 2 - Prob. 20PCh. 2 - Prob. 21PCh. 2 - Prob. 22PCh. 2 - Prob. 23PCh. 2 - Prob. 24PCh. 2 - Prob. 25PCh. 2 - Prob. 26PCh. 2 - Prob. 27PCh. 2 - Prob. 28PCh. 2 - Prob. 29PCh. 2 - Prob. 30PCh. 2 - Prob. 31PCh. 2 - Prob. 32PCh. 2 - Prob. 33PCh. 2 - Prob. 34PCh. 2 - Prob. 35PCh. 2 - Prob. 36PCh. 2 - Prob. 37PCh. 2 - Prob. 38PCh. 2 - Convert each hexadecimal number to decimal: 2316...Ch. 2 - Prob. 40PCh. 2 - Prob. 41PCh. 2 - Prob. 42PCh. 2 - Prob. 43PCh. 2 - Prob. 44PCh. 2 - Prob. 45PCh. 2 - Prob. 46PCh. 2 - Prob. 47PCh. 2 - Prob. 48PCh. 2 - Convert the following decimal numbers to BCD: 104...Ch. 2 - Prob. 50PCh. 2 - Convert each of the BCD numbers to decimal...Ch. 2 - Prob. 52PCh. 2 - Prob. 53PCh. 2 - Prob. 54PCh. 2 - In a certain application a 4-bit binary sequence...Ch. 2 - Prob. 56PCh. 2 - Prob. 57PCh. 2 - Prob. 58PCh. 2 - Prob. 59PCh. 2 - Prob. 60PCh. 2 - Prob. 61PCh. 2 - Prob. 62PCh. 2 - Prob. 63PCh. 2 - Prob. 64PCh. 2 - Prob. 65PCh. 2 - Prob. 66PCh. 2 - Prob. 67PCh. 2 - Prob. 68PCh. 2 - Prob. 69P
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