3. Use the Restoring Division Algorithm, as shown in Figure 1, to perform divison operation of 8 3 using 4-bit integer representation. Show the Quotient and Remainder.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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3. Use the Restoring Division Algorithm, as shown in Figure 1, to perform divison
operation of 8 3 using 4-bit integer representation. Show the Quotient and
Remainder.
2/3
Both dividend and divisor are assumed to be positive numbers:
1. Load the twos complement of the divisor into the M register. Load the dividend into the A,
Q registers. The dividend must be expressed as a 2n-bit positive number.
2. Shift A, Q left 1 bit position.
3.
Perform A-A-M.
4.
Choose either one of the followings:
a. If the result is nonnegative (most significant bit of A is 0), then set Qo← 1.
b. If the result is negative (most significant bit of A is 1), then set Qo-0, restore the
previous value of A.
5. Repeat steps 2 to 4 as many times as there are bit positions in Q.
6. The remainder is in A and the quotient is in Q.
Figure 1
...
...
Transcribed Image Text:3. Use the Restoring Division Algorithm, as shown in Figure 1, to perform divison operation of 8 3 using 4-bit integer representation. Show the Quotient and Remainder. 2/3 Both dividend and divisor are assumed to be positive numbers: 1. Load the twos complement of the divisor into the M register. Load the dividend into the A, Q registers. The dividend must be expressed as a 2n-bit positive number. 2. Shift A, Q left 1 bit position. 3. Perform A-A-M. 4. Choose either one of the followings: a. If the result is nonnegative (most significant bit of A is 0), then set Qo← 1. b. If the result is negative (most significant bit of A is 1), then set Qo-0, restore the previous value of A. 5. Repeat steps 2 to 4 as many times as there are bit positions in Q. 6. The remainder is in A and the quotient is in Q. Figure 1 ... ...
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