Convert the decimal number 147 to 8-bit simple binary.
Read moreTable of Contents
1
Introduction
2
General Characteristics of Measurement Systems
3
Measurement Systems with Electrical Signals
4
Computerized Data-Acquisition Systems
5
Discrete Sampling and Analysis of Time-Varying Signals
6
Statistical Analysis of Experimental Data
7
Experimental Uncertainty Analysis
8
Measurement of Solid-Mechanical Quantities
9
Measuring Pressure, Temperature, and Humidity
10
Measuring Fluid Flow Rate, Fluid Velocity, Fluid Level, and Combustion Pollutants
11
Dynamic Behavior of Measurement Systems
12
Guidelines for Plan d nlng an Documenting Experiments
Textbook Solutions for Introduction to Engineering Experimentation
Chapter 4 Problem 4.11
Question
How many bits are required for a digital device to represent the decimal number 27,541 in simple binary? How many bits for 2's-complement binary?
Solution
Step 1 of 2
The given decima1l number is 27,541.
To convert the decimal number into binary bits, follow the below procedure,
27541 |
||
13770 |
1 |
|
6885 |
0 |
|
3442 |
1 |
|
1721 |
0 |
|
860 |
1 |
|
430 |
0 |
|
215 |
0 |
|
107 |
1 |
|
53 |
1 |
|
26 |
1 |
|
13 |
0 |
|
6 |
1 |
|
3 |
0 |
|
1 |
0 |
|
0 |
1 |
In the second row, the number 27541 is divided by 2, the quotient will be 13770, and remainder 1.
Similarly, 13770 is divided by2, the quotient will be 6885 and remainder 0.
In this way, the binary numbers 0 and 1 is obtained.
Counting from downward direction, the binary conversion of decimal number 27541 is 100101110010101.
Therefore, to represent the decimal number 27541, the number of bits required are 15.
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full solution
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Title
Introduction to Engineering Experimentation 3
Author
Anthony J. Wheeler, Ahmad R. Ganji
ISBN
9780131742765