9767 Decimal in Binary

Let's convert the decimal number 9767 to binary without using a calculator:

Start by dividing 9767 by 2:

9767 ÷ 2 = 4883 (Quotient) with a remainder of 1

Now, divide the quotient (4883) by 2:

4883 ÷ 2 = 2441 (Quotient) with a remainder of 1

Now, divide the quotient (2441) by 2:

2441 ÷ 2 = 1220 (Quotient) with a remainder of 1

Now, divide the quotient (1220) by 2:

1220 ÷ 2 = 610 (Quotient) with a remainder of 0

Now, divide the quotient (610) by 2:

610 ÷ 2 = 305 (Quotient) with a remainder of 0

Now, divide the quotient (305) by 2:

305 ÷ 2 = 152 (Quotient) with a remainder of 1

Now, divide the quotient (152) by 2:

152 ÷ 2 = 76 (Quotient) with a remainder of 0

Now, divide the quotient (76) by 2:

76 ÷ 2 = 38 (Quotient) with a remainder of 0

Now, divide the quotient (38) by 2:

38 ÷ 2 = 19 (Quotient) with a remainder of 0

Now, divide the quotient (19) by 2:

19 ÷ 2 = 9 (Quotient) with a remainder of 1

Now, divide the quotient (9) by 2:

9 ÷ 2 = 4 (Quotient) with a remainder of 1

Now, divide the quotient (4) by 2:

4 ÷ 2 = 2 (Quotient) with a remainder of 0

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:

10011000100111