Computer Systems: A Programmer's Perspective (3rd Edition)
3rd Edition
ISBN: 9780134092669
Author: Bryant, Randal E. Bryant, David R. O'Hallaron, David R., Randal E.; O'Hallaron, Bryant/O'hallaron
Publisher: PEARSON
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Question
Chapter 2.1, Problem 2.2PP
Program Plan Intro
Decimal and hexadecimal representation of different powers of 2:
- When a value “x” is a power of 2, that is x = 2n for some nonnegative integer n.
- Here, the binary representation of x is basically “1” followed by n zeros.
- The hexadecimal digit is represented by “4” zeros. Hence, the format for “n” is “i + 4j”.
- From “i + 4j” format, where
- If “i = 0”, then hex digit is “1”.
- If “i = 1”, then hex digit is “2”.
- If “i = 2”, then hex digit is “4”.
- If “i = 3”, then hex digit is “8”.
- If “i = 0”, then hex digit is “1”.
Example:
The example for decimal and hexadecimal representation of power of “2” is shown below:
Here assume x = 2048 = 211.
Now, write the “n” value as the format of “i + 4j” that is “3 + 4.2”.
- From the given format, the “i” value of “3” in hexadecimal is “8”. Then “j” is “2” so, after “8” two 0’s followed. Hence, the hexadecimal value is “0x800”.
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Chapter 2 Solutions
Computer Systems: A Programmer's Perspective (3rd Edition)
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