Implementing unsigned integer recovery division algorithm in C++
Sep 12, 2023 pm 04:01 PMDiscusses dividing unsigned integers using division algorithms. Some division algorithms are implemented on paper, others are implemented on digital circuits. There are two division algorithms: slow division algorithm and fast division algorithm. Slow division algorithms include recovery algorithms, non-execution recovery algorithms, SRT and non-recovery algorithms.
In this tutorial, we will discuss the recovery algorithm assuming 0 Solution method
Here, we will use register Q to store the quotient, register A to store the remainder, and M to store the divisor. The initial value of A remains at 0, and its value is restored, which is why the method resumes division.
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Initialize register with value,
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Initialize register with value, p>
Q = Dividend,
A = 0,
- M = divisor,
N = number of dividend digits.
#Shifting AQ left means treating registers A and Q as one unit.
A is subtracted from M and stored in A.
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Check the most significant bit of A:
If it is 0, set the least significant bit to 1.
Otherwise, set the least significant bit to 0.
#Restore the value of A and decrement the value of counter N.
If N = 0, break the loop; otherwise, go to step 2.
The quotient is stored in register Q.
Flow chart
Example
C code for the above method
#include <iostream> using namespace std; int main(){ // initializing all the variables with Dividend = 9, Divisor = 2. int Q = 8,q=1,M=3; short N = 4; int A = Q; M <<= N; // loop for division by bit operation. for(int i=N-1; i>=0; i--) { A = (A << 1)- M; // checking MSB of A. if(A < 0) { q &= ~(1 << i); // set i-th bit to 0 A = A + M; } else { q |= 1 << i; // set i-th bit to 1 } } cout << "Quotient: "<< q; return 0; }
Copy after loginOutput
Quotient: 2
Copy after loginConclusion
In this tutorial, we discussed the recovery division algorithm for unsigned integers. We discussed a simple way to solve this problem with the help of flowcharts and applying bit operations. We also discussed a C program to solve this problem and we can implement it using programming languages like C, Java, Python etc. We hope you found this tutorial helpful.
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