821 Decimal in Binary

Let's convert the decimal number 821 to binary without using a calculator:

Step 1: Divide by 2

Start by dividing 821 by 2:

821 ÷ 2 = 410 (Quotient) with a remainder of 1

Step 2: Divide the Quotient

Now, divide the quotient (410) by 2:

410 ÷ 2 = 205 (Quotient) with a remainder of 0

Step 3: Divide the Quotient

Now, divide the quotient (205) by 2:

205 ÷ 2 = 102 (Quotient) with a remainder of 1

Step 4: Divide the Quotient

Now, divide the quotient (102) by 2:

102 ÷ 2 = 51 (Quotient) with a remainder of 0

Step 5: Divide the Quotient

Now, divide the quotient (51) by 2:

51 ÷ 2 = 25 (Quotient) with a remainder of 1

Step 6: Divide the Quotient

Now, divide the quotient (25) by 2:

25 ÷ 2 = 12 (Quotient) with a remainder of 1

Step 7: Divide the Quotient

Now, divide the quotient (12) by 2:

12 ÷ 2 = 6 (Quotient) with a remainder of 0

Step 8: Divide the Quotient

Now, divide the quotient (6) by 2:

6 ÷ 2 = 3 (Quotient) with a remainder of 0

Step 9: Divide the Quotient

Now, divide the quotient (3) by 2:

3 ÷ 2 = 1 (Quotient) with a remainder of 1

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:

1100110101

So, the binary representation of the decimal number 821 is 1100110101.

Decimal To Binary Converter

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