
INTRO.TO COMPUTING SYSTEMS >INTL.ED.<
3rd Edition
ISBN: 9781260565911
Author: PATT
Publisher: MCG
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Question
Chapter 2, Problem 10E
a.
Program Plan Intro
Steps to convert binary number into decimal value:
- If “0” is appeared in the Left most Significant Bit (LSB), it denotes the sign of the decimal value is positive. Binary number can be directly converted into decimal number.
- The sign of the decimal value is negative, if the LSB is one.
- If “1” is appeared in the LSB, compute 2’s complement of the decimal value.
- To find 2’s complement, transform the bits from “0” to “1” and from “1” to “0”, which gives 1’s complement and then add “1” to the result.
- Decimal value can be obtained by adding the powers of “2”, which having the coefficients “1”.
- The user includes a minus sign in front of the decimal value, if the original number is negative.
b.
Explanation of Solution
Conversion from the binary number “01011010” to decimal value:
- The LSB of the binary number is “0” and it represents the sign of the decimal value is positive.
- Hence, the user can directly compute the magnitude value as follows,
c.
Explanation of Solution
Conversion from the binary number “11111110” to decimal value:
- The LSB of the binary number is “1” and it represents the sign of the decimal value is negative.
- The user should find the 2’s complement representation as follows,
- Find the 1’s complement by transforming the bits from “0” to “1” and from “1” to “0”.
- Hence, the 1’s complement of the number is ‘00000001”.
- Add “1” to the above result. “00000001+1”, which gives “00000010”.
- The 2’s complement representation of the positive number is “00000010”...
d.
Explanation of Solution
Conversion from the binary number “0011100111010011” to decimal value:
- The LSB of the binary number is “0” and it represents the sign of the decimal value is positive.
- Hence, the user can directly compute the magnitude value as follows,
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Chapter 2 Solutions
INTRO.TO COMPUTING SYSTEMS >INTL.ED.<
Ch. 2 - Prob. 1ECh. 2 - Prob. 2ECh. 2 - Prob. 3ECh. 2 - Prob. 4ECh. 2 - Prob. 5ECh. 2 - Prob. 6ECh. 2 - Prob. 7ECh. 2 - Prob. 8ECh. 2 - Prob. 9ECh. 2 - Prob. 10E
Ch. 2 - Prob. 11ECh. 2 - Prob. 12ECh. 2 - Prob. 13ECh. 2 - Prob. 14ECh. 2 - Prob. 15ECh. 2 - Prob. 17ECh. 2 - Prob. 18ECh. 2 - Prob. 19ECh. 2 - Prob. 20ECh. 2 - Prob. 21ECh. 2 - Prob. 22ECh. 2 - Prob. 23ECh. 2 - Prob. 24ECh. 2 - Prob. 25ECh. 2 - Prob. 26ECh. 2 - Prob. 27ECh. 2 - When is the output of an AND operation equal to...Ch. 2 - Prob. 29ECh. 2 - Prob. 30ECh. 2 - When is the output of an OR operation equal to 1?
Ch. 2 - Prob. 32ECh. 2 - Prob. 33ECh. 2 - Prob. 34ECh. 2 - Prob. 35ECh. 2 - Prob. 36ECh. 2 - Prob. 37ECh. 2 - Prob. 38ECh. 2 - Prob. 39ECh. 2 - Prob. 40ECh. 2 - Prob. 41ECh. 2 - A computer programmer wrote a program that adds...Ch. 2 - Prob. 43ECh. 2 - Prob. 44ECh. 2 - Prob. 45ECh. 2 - Prob. 46ECh. 2 - Prob. 47ECh. 2 - Prob. 48ECh. 2 - Prob. 49ECh. 2 - Prob. 50ECh. 2 - Prob. 51ECh. 2 - Prob. 52ECh. 2 - Prob. 53ECh. 2 - Fill in the truth table for the equations given....Ch. 2 - Prob. 55ECh. 2 - Prob. 56E
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