4007 Decimal in Binary

Let's convert the decimal number 4007 to binary without using a calculator:

Start by dividing 4007 by 2:

4007 ÷ 2 = 2003 (Quotient) with a remainder of 1

Now, divide the quotient (2003) by 2:

2003 ÷ 2 = 1001 (Quotient) with a remainder of 1

Now, divide the quotient (1001) by 2:

1001 ÷ 2 = 500 (Quotient) with a remainder of 1

Now, divide the quotient (500) by 2:

500 ÷ 2 = 250 (Quotient) with a remainder of 0

Now, divide the quotient (250) by 2:

250 ÷ 2 = 125 (Quotient) with a remainder of 0

Now, divide the quotient (125) by 2:

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

Now, divide the quotient (62) by 2:

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

Now, divide the quotient (31) by 2:

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

Now, divide the quotient (15) by 2:

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

Now, divide the quotient (7) by 2:

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

Now, divide the quotient (3) by 2:

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

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:

111110100111