Introduction to Computing Systems: From Bits & Gates to C & Beyond
3rd Edition
ISBN: 9781260424751
Author: PATT, Yale
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Expert Solution & Answer
Chapter 2, Problem 18E
a.
Explanation of Solution
01 + 1011:
- Express the given numbers with the same number of bits.
- Addition of leading 0’s do not affect the result.
- The process of addition can perform on “1” digit at a time from right to left.
- A sum digit and a carry digit are generated at each point.
- It the user adds “1” and “1”, it generates the sum digit “0” and carry digit “1”.
- The given 2-bit binary number “01” is extended to 4-bit binary number as “0001”
- The addition of the binary numbers is as follows,
- Therefore, the resultant binary bit pattern is “1100”...
b.
Explanation of Solution
11 + 01010101:
- Express the given numbers with the same number of bits.
- The process of addition can perform on “1” digit at a time from right to left.
- A sum digit and a carry digit are generated at each point.
- It the user adds “1” and “1”, it generates the sum digit “0” and carry digit “1”.
- It the user adds “1” and “0”, it generates the sum digit “1” and carry digit “0”.
- The given 2-bit binary number “11” is extended to 8-bit binary number as “00000011”
- The addition of the binary numbers is as follows,
- Therefore, the resultant binary bit pattern is “01011000”...
c.
Explanation of Solution
0101 + 110:
- Express the given numbers with the same number of bits.
- The process of addition can perform on “1” digit at a time from right to left.
- A sum digit and a carry digit are generated at each point.
- It the user adds “1” and “1”, it generates the sum digit “0” and carry digit “1”.
- It the user adds “1” and “0”, it generates the sum digit “1” and carry digit “0”.
- The given 3-bit binary number “110” is extended to 4-bit binary number as “0110”
- The addition of the binary numbers is as follows,
- Therefore, the resultant binary bit pattern is “1011”...
d.
Explanation of Solution
01 + 10:
- The given binary numbers have the same number of bits.
- The process of addition can perform on “1” digit at a time from right to left.
- A sum digit and a carry digit are generated at each point.
- It the user adds “1” and “1”, it generates the sum digit “0” and carry digit “1”.
- It the user adds “1” and “0”, it generates the sum digit “1” and carry digit “0”.
- The addition of the binary numbers is as follows,
- Therefore, the resultant binary bit pattern is “11”...
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Chapter 2 Solutions
Introduction to Computing Systems: From Bits & Gates to C & Beyond
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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