1509 Decimal in Binary

Let's convert the decimal number 1509 to binary without using a calculator:

Start by dividing 1509 by 2:

1509 ÷ 2 = 754 (Quotient) with a remainder of 1

Now, divide the quotient (754) by 2:

754 ÷ 2 = 377 (Quotient) with a remainder of 0

Now, divide the quotient (377) by 2:

377 ÷ 2 = 188 (Quotient) with a remainder of 1

Now, divide the quotient (188) by 2:

188 ÷ 2 = 94 (Quotient) with a remainder of 0

Now, divide the quotient (94) by 2:

94 ÷ 2 = 47 (Quotient) with a remainder of 0

Now, divide the quotient (47) by 2:

47 ÷ 2 = 23 (Quotient) with a remainder of 1

Now, divide the quotient (23) by 2:

23 ÷ 2 = 11 (Quotient) with a remainder of 1

Now, divide the quotient (11) by 2:

11 ÷ 2 = 5 (Quotient) with a remainder of 1

Now, divide the quotient (5) by 2:

5 ÷ 2 = 2 (Quotient) with a remainder of 1

Now, divide the quotient (2) by 2:

2 ÷ 2 = 1 (Quotient) with a remainder of 0

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

Now, write down the remainders obtained in reverse order:

10111100101