Question

Convert 6432 to a numeral in base 8

Answer 1

The Quotient has two parts. The Whole part and the Fractional part. The Fractional part is also known as the Remainder.

Step 1) Divide 6432 by 8 to get the Quotient. Keep the Whole part for the next step and set the Remainder aside.

Step 2) Divide the Whole part of the Quotient from step 1 by 8. Again keep the Whole part and set the Remainder aside.

Step 3) Repeat Step 2 above until the Whole part is 0.

Step 4) Write down the Remainders in reverse order to get the answer to 6432 as octal.

For the number 6432, we have:

6432/8 = 804 with 0 remainder

804/8 = 100 with 4 remainder

100/8 = 12 with 4 remainder

12/8 = 1 with 4 remainder

1/8 = 0 with 1 remainder

Then, when we put the remainders together in reverse order, we get the answer. The decimal number 6432 converted to octal is, therefore:

`14440`

Answer: 14440