Question

When converting the decimal integer 458 to base-5 using the subtraction method, a number of non-zero integers will be subtracted from the integer to be converted. Show those integers from large to small, separated by comma.

Answer 1

Here I m going to explain this step by step:

1. Take the original decimal (base ten) number, and call A
2. Divide A by 5 into a quotient Q and a remainder as r.
3. Now let A take on the value of Q.
4. Divide A by 5 into a new quotient Q and a new remainder R.
5. Write the remainder R down again.
6. Repeat from step 5 until A is zero.
7. Now starting from bottom value of r (working upward)and take this as a right most value of base 5 equivalent.
8. So top most value of r will be the extreme left bit of base 5 equivalent.

Solution for your problem:

Here value of r is consider as non-zero integer and later used for base 5 equivalent.

ty.