Question

For the given values of n and d, find integers q and r such that n = dq + r and 0 ≤ r < d?

Answer 1

To find integers q and r such that n = dq + r and 0 ≤ r < d, we can use the integer division algorithm.

Step-by-step explanation:

To find integers q and r such that n = dq + r and 0 ≤ r < d, we can use the integer division algorithm. Let's consider an example:

If n = 13 and d = 4, the integer division 13 ÷ 4 gives us a quotient of 3 and a remainder of 1. Therefore, q = 3 and r = 1.

So, for any given values of n and d, we can find the values of q and r using the integer division.

Answer 2

The question pertains to division algorithm where the student seeks to find the quotient (q) and remainder (r) given the dividend (n) and divisor (d), ensuring that 0 ≤ r < d.

Step-by-step explanation:

The student is asking how to find integers q and r for given values of n and d, where n = dq + r and 0 ≤ r < d. This is a division algorithm problem that requires finding the quotient (q) and remainder (r) when n is divided by d. For example, if n is 54 and d is 13, dividing 54 by 13 gives a quotient q of 4 and a remainder r of 2, since 54 = 13×4 + 2 and 2 is less than 13. Therefore, q = 4 and r = 2.