Binary division Algorithms| binary division method| Restoring Method|CADS| CAO | easy way

The Restoring Division Algorithm is a method used to perform division operations on unsigned integers in computer arithmetic. It’s designed to efficiently compute the quotient and remainder when dividing one unsigned integer (dividend) by another (divisor), while also minimizing the number of computational steps.
In this article, a restoring procedure for unsigned integers will be used. The term "restoring" refers to the fact that after each repetition, the value of register A is restored.

Register Q in this case holds the quotient, while register A holds the remainder. Here, the divisor is loaded in M and the n-bit dividend is loaded in Q. The register whose value is restored after iteration and for which it is named Restoring is initially held at 0.

Steps For Restoring Division Algo For Unsigned Integer:
Step 1: Initiate the process by setting up the registers with their corresponding values, where Q represents the Dividend, M denotes the Divisor, A starts at 0, and n signifies the number of bits within the dividend.

Step 2: Proceed by shifting the content of registers A and Q to the left, treating them as a unified unit.

Step 3: Perform subtraction by deducting the content of register M from A, and store the result back into A.

Step 4: Examine the most significant bit of A. If it’s 0, set the least significant bit of Q to 1. Conversely, if the most significant bit is 1, set the least significant bit of Q to 0. Additionally, restore the value of register A to its state before the subtraction with M.

Step 5: Reduce the value of the counter n by one.

Step 6: Check if the value of n has reached zero. If not, return to step 2 and repeat the process.

Step 7: Finally, the division process concludes with the quotient residing in register Q, while register A holds the remainder.
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