9000 Decimal in Octal

Let's convert the decimal number 9000 to octal without using a calculator:

Step 1: Divide by 8

Start by dividing 9000 by 8:

9000 ÷ 8 = 1125 (Quotient) with a remainder of 0

Step 2: Divide the Quotient

Now, divide the quotient (1125) by 8:

1125 ÷ 8 = 140 (Quotient) with a remainder of 5

Step 3: Divide the Quotient

Now, divide the quotient (140) by 8:

140 ÷ 8 = 17 (Quotient) with a remainder of 4

Step 4: Divide the Quotient

Now, divide the quotient (17) by 8:

17 ÷ 8 = 2 (Quotient) with a remainder of 1

Step 5: Final actions

The Quotient is less than 8 (2), so we will transfer it to the beginning of the number as a reminder.

Step 6: Write Remainders in Reverse Order

Now, write down the remainders from the last division to the first:

21450

So, the octal representation of the decimal number 9000 is 21450.

Decimal To Octal Converter

Other examples of Decimal to Octal conversion