2004 Decimal in Octal

Let's convert the decimal number 2004 to octal without using a calculator:

Step 1: Divide by 8

Start by dividing 2004 by 8:

2004 ÷ 8 = 250 (Quotient) with a remainder of 4

Step 2: Divide the Quotient

Now, divide the quotient (250) by 8:

250 ÷ 8 = 31 (Quotient) with a remainder of 2

Step 3: Divide the Quotient

Now, divide the quotient (31) by 8:

31 ÷ 8 = 3 (Quotient) with a remainder of 7

Step 4: Final actions

The Quotient is less than 8 (3), so we will transfer it to the beginning of the number as a reminder.

Step 5: Write Remainders in Reverse Order

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

3724

So, the octal representation of the decimal number 2004 is 3724.

Decimal To Octal Converter

Other examples of Decimal to Octal conversion