642 Decimal in Binary

Let's convert the decimal number 642 to binary without using a calculator:

Step 1: Divide by 2

Start by dividing 642 by 2:

642 ÷ 2 = 321 (Quotient) with a remainder of 0

Step 2: Divide the Quotient

Now, divide the quotient (321) by 2:

321 ÷ 2 = 160 (Quotient) with a remainder of 1

Step 3: Divide the Quotient

Now, divide the quotient (160) by 2:

160 ÷ 2 = 80 (Quotient) with a remainder of 0

Step 4: Divide the Quotient

Now, divide the quotient (80) by 2:

80 ÷ 2 = 40 (Quotient) with a remainder of 0

Step 5: Divide the Quotient

Now, divide the quotient (40) by 2:

40 ÷ 2 = 20 (Quotient) with a remainder of 0

Step 6: Divide the Quotient

Now, divide the quotient (20) by 2:

20 ÷ 2 = 10 (Quotient) with a remainder of 0

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:

1010000010

So, the binary representation of the decimal number 642 is 1010000010.

Decimal To Binary Converter

Other examples of Decimal to Binary conversion