6789 Decimal in Binary
Let's convert the decimal number 6789 to binary without using a calculator:
Start by dividing 6789 by 2:
6789 ÷ 2 = 3394 (Quotient) with a remainder of 1
Now, divide the quotient (3394) by 2:
3394 ÷ 2 = 1697 (Quotient) with a remainder of 0
Now, divide the quotient (1697) by 2:
1697 ÷ 2 = 848 (Quotient) with a remainder of 1
Now, divide the quotient (848) by 2:
848 ÷ 2 = 424 (Quotient) with a remainder of 0
Now, divide the quotient (424) by 2:
424 ÷ 2 = 212 (Quotient) with a remainder of 0
Now, divide the quotient (212) by 2:
212 ÷ 2 = 106 (Quotient) with a remainder of 0
Now, divide the quotient (106) by 2:
106 ÷ 2 = 53 (Quotient) with a remainder of 0
Now, divide the quotient (53) by 2:
53 ÷ 2 = 26 (Quotient) with a remainder of 1
Now, divide the quotient (26) by 2:
26 ÷ 2 = 13 (Quotient) with a remainder of 0
Now, divide the quotient (13) by 2:
13 ÷ 2 = 6 (Quotient) with a remainder of 1
Now, divide the quotient (6) by 2:
6 ÷ 2 = 3 (Quotient) with a remainder of 0
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:
1101010000101