Is this a homework problem? If so, have you done any research to find the answers to your questions?RobikShrestha said:Can anyone please explain to me how and why do restoring and non restoring algorithms for division work and please provide me with a correct flowchart for the non restoring division.
Mark44 said:Is this a homework problem? If so, have you done any research to find the answers to your questions?
rcgldr said:As for why it works, you should go thorugh the math (not sure if this is homework).
Restoring division algorithm is a method used to find the quotient and remainder when dividing two numbers. It involves a "restoring" step where the remainder is added back to the partial remainder in each iteration. Non restoring division algorithm is a variation of this method where the partial remainder is not restored, but rather the divisor is subtracted from it in each iteration.
In general, non restoring division algorithm is considered to be more efficient because it requires fewer steps and operations compared to restoring division algorithm. However, the efficiency also depends on the specific implementation and hardware used.
Yes, both algorithms can handle negative numbers as long as the proper sign is assigned to the quotient and remainder. For example, a negative dividend and a positive divisor will result in a negative quotient and remainder.
Restoring and non restoring division algorithms are commonly used in computer processors and digital circuits for performing arithmetic operations. They are also used in cryptography for encryption and decryption processes.
One limitation of restoring and non restoring division algorithms is that they cannot handle division by zero, which would result in an undefined answer. Additionally, they may not be suitable for handling very large or very small numbers due to the limited precision of computer arithmetic.