688 Decimal in Binary

Let's convert the decimal number 688 to binary without using a calculator:

Step 1: Divide by 2

Start by dividing 688 by 2:

688 ÷ 2 = 344 (Quotient) with a remainder of 0

Step 2: Divide the Quotient

Now, divide the quotient (344) by 2:

344 ÷ 2 = 172 (Quotient) with a remainder of 0

Step 3: Divide the Quotient

Now, divide the quotient (172) by 2:

172 ÷ 2 = 86 (Quotient) with a remainder of 0

Step 4: Divide the Quotient

Now, divide the quotient (86) by 2:

86 ÷ 2 = 43 (Quotient) with a remainder of 0

Step 5: Divide the Quotient

Now, divide the quotient (43) by 2:

43 ÷ 2 = 21 (Quotient) with a remainder of 1

Step 6: Divide the Quotient

Now, divide the quotient (21) by 2:

21 ÷ 2 = 10 (Quotient) with a remainder of 1

Step 7: Divide the Quotient

Now, divide the quotient (10) by 2:

10 ÷ 2 = 5 (Quotient) with a remainder of 0

Step 8: Divide the Quotient

Now, divide the quotient (5) by 2:

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

Step 9: Divide the Quotient

Now, divide the quotient (2) by 2:

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

Step 10: Final actions

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

Step 11: Write the Remainders in Reverse Order

Now, write down the remainders obtained in reverse order:

1010110000

So, the binary representation of the decimal number 688 is 1010110000.

Decimal To Binary Converter

Other examples of Decimal to Binary conversion