638 Decimal in Binary

Let's convert the decimal number 638 to binary without using a calculator:

Step 1: Divide by 2

Start by dividing 638 by 2:

638 ÷ 2 = 319 (Quotient) with a remainder of 0

Step 2: Divide the Quotient

Now, divide the quotient (319) by 2:

319 ÷ 2 = 159 (Quotient) with a remainder of 1

Step 3: Divide the Quotient

Now, divide the quotient (159) by 2:

159 ÷ 2 = 79 (Quotient) with a remainder of 1

Step 4: Divide the Quotient

Now, divide the quotient (79) by 2:

79 ÷ 2 = 39 (Quotient) with a remainder of 1

Step 5: Divide the Quotient

Now, divide the quotient (39) by 2:

39 ÷ 2 = 19 (Quotient) with a remainder of 1

Step 6: Divide the Quotient

Now, divide the quotient (19) by 2:

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

Step 7: Divide the Quotient

Now, divide the quotient (9) by 2:

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

Step 8: Divide the Quotient

Now, divide the quotient (4) by 2:

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

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:

1001111110

So, the binary representation of the decimal number 638 is 1001111110.

Decimal To Binary Converter

Other examples of Decimal to Binary conversion