Table of Contents
Flow chart
Example
Output
Conclusion
Home Backend Development C++ Implementing unsigned integer recovery division algorithm in C++

Implementing unsigned integer recovery division algorithm in C++

Sep 12, 2023 pm 04:01 PM
unsigned integer c language implementation Restoring the division algorithm

Discusses 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.

  • Initialize register with value,

    • 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.

    • 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

    Implementing unsigned integer recovery division algorithm in C++

    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;
    }
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    Output

    Quotient: 2
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    Conclusion

    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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