1006 Decimal in Binary

Let's convert the decimal number 1006 to binary without using a calculator:

Step 1: Divide by 2

Start by dividing 1006 by 2:

1006 ÷ 2 = 503 (Quotient) with a remainder of 0

Step 2: Divide the Quotient

Now, divide the quotient (503) by 2:

503 ÷ 2 = 251 (Quotient) with a remainder of 1

Step 3: Divide the Quotient

Now, divide the quotient (251) by 2:

251 ÷ 2 = 125 (Quotient) with a remainder of 1

Step 4: Divide the Quotient

Now, divide the quotient (125) by 2:

125 ÷ 2 = 62 (Quotient) with a remainder of 1

Step 5: Divide the Quotient

Now, divide the quotient (62) by 2:

62 ÷ 2 = 31 (Quotient) with a remainder of 0

Step 6: Divide the Quotient

Now, divide the quotient (31) by 2:

31 ÷ 2 = 15 (Quotient) with a remainder of 1

Step 7: Divide the Quotient

Now, divide the quotient (15) by 2:

15 ÷ 2 = 7 (Quotient) with a remainder of 1

Step 8: Divide the Quotient

Now, divide the quotient (7) by 2:

7 ÷ 2 = 3 (Quotient) with a remainder of 1

Step 9: Divide the Quotient

Now, divide the quotient (3) by 2:

3 ÷ 2 = 1 (Quotient) with a remainder of 1

Step 10: Final actions

The Quotient is less than 2 (1), so we will transfer it to the beginning of the number as a reminder.

Step 11: Write the Remainders in Reverse Order

Now, write down the remainders obtained in reverse order:

1111101110

So, the binary representation of the decimal number 1006 is 1111101110.

Decimal To Binary Converter

Other examples of Decimal to Binary conversion