Question

convert decimal into octal 1305 (10)​

Answer 1

Step-by-step explanation:

Here we will show you step-by-step how convert the decimal number 1305 to octal.

First note that decimal numbers use 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) and octal numbers use only 8 digits (0, 1, 2, 3, 4, 5, 6, and 7).

As we explain the steps to converting 1305 to octal, it is important to know the name of the parts of a division problem. In a problem like A divided by B equals C, A is the dividend, B is the divisor and C is the Quotient.

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

Step 1) Divide 1305 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 1305 as an octal.

Here we will show our work so you can follow along:

1305 / 8 = 163 with 1 remainder

163 / 8 = 20 with 3 remainder

20 / 8 = 2 with 4 remainder

2 / 8 = 0 with 2 remainder

Then, when we put the remainders together in reverse order, we get the answer. The decimal number 1305 converted to octal is therefore:

2431