ESSENTIALS OF COMPUTER ORGAN..-TEXT
4th Edition
ISBN: 9781284033144
Author: NULL
Publisher: JONES+BART
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Chapter 2, Problem 30E
Program Plan Intro
Types of representation for signed number:
- Signed magnitude representation
- One’s complement
- Two’s complement
- Excess-M representation
Signed magnitude representation:
In signed magnitude representation, an extra bit is used to represent the sign of the number. This extra bit is called sign bit.
- The Most Significant Bit (MSB) in the binary number is referred as sign bit.
- In the signed magnitude representation, if the MSB is 0 it is treated as positive sign and if the MSB is 1 it is treated as negative sign.
For example:
Consider the decimal number 36 and can be represented as 00100100 and the -36 can be represented as 10100100.
One’s complement:
The binary numbers can be represented using one’s complement. Here, the value of every binary digit is complemented that is if the value is 1, it becomes 0 and if the value is 0 it becomes 1.
For example:
Consider the binary number 1101, the one’s complement of the given number is 0010.
Two’s complement:
Two’s complement is another way of representing the binary numbers. To implement the two’s complement to the number, the given binary number should be one’s complemented and then add 1 to the result obtained after one’s complement.
For example:
Consider the binary number 1011. First implement the one’s complement to the given binary number. The number becomes 0100. Then add 1 to the resultant obtained after the one’s complement. The result becomes 0101.
Excess-M representation:
To get the excess-M representation of a given number,
- Add the given number with the M
- Convert the obtained value to the binary representation
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Chapter 2 Solutions
ESSENTIALS OF COMPUTER ORGAN..-TEXT
Ch. 2.2A - Prob. 1ECh. 2.2A - Prob. 2ECh. 2.2A - Prob. 3ECh. 2.2A - Prob. 4ECh. 2 - Prob. 1RETCCh. 2 - Prob. 2RETCCh. 2 - Prob. 3RETCCh. 2 - Prob. 4RETCCh. 2 - Prob. 5RETCCh. 2 - Prob. 6RETC
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