107 Decimal in Binary
Let's convert the decimal number 107 to binary without using a calculator:
Step 1: Divide by 2
Start by dividing 107 by 2:
107 ÷ 2 = 53 (Quotient) with a remainder of 1
Step 2: Divide the Quotient
Now, divide the quotient (53) by 2:
53 ÷ 2 = 26 (Quotient) with a remainder of 1
Step 3: Divide the Quotient
Now, divide the quotient (26) by 2:
26 ÷ 2 = 13 (Quotient) with a remainder of 0
Step 4: Divide the Quotient
Now, divide the quotient (13) by 2:
13 ÷ 2 = 6 (Quotient) with a remainder of 1
Step 5: Divide the Quotient
Now, divide the quotient (6) by 2:
6 ÷ 2 = 3 (Quotient) with a remainder of 0
Step 6: Divide the Quotient
Now, divide the quotient (3) by 2:
3 ÷ 2 = 1 (Quotient) with a remainder of 1
Step 7: Final actions
The Quotient is less than 2 (1), so we will transfer it to the beginning of the number as a reminder.
Step 8: Write the Remainders in Reverse Order
Now, write down the remainders obtained in reverse order:
1101011
So, the binary representation of the decimal number 107 is 1101011.
Decimal To Binary Converter
Other examples of Decimal to Binary conversion
See also: