709 Decimal in Binary

Let's convert the decimal number 709 to binary without using a calculator:

Step 1: Divide by 2

Start by dividing 709 by 2:

709 ÷ 2 = 354 (Quotient) with a remainder of 1

Step 2: Divide the Quotient

Now, divide the quotient (354) by 2:

354 ÷ 2 = 177 (Quotient) with a remainder of 0

Step 3: Divide the Quotient

Now, divide the quotient (177) by 2:

177 ÷ 2 = 88 (Quotient) with a remainder of 1

Step 4: Divide the Quotient

Now, divide the quotient (88) by 2:

88 ÷ 2 = 44 (Quotient) with a remainder of 0

Step 5: Divide the Quotient

Now, divide the quotient (44) by 2:

44 ÷ 2 = 22 (Quotient) with a remainder of 0

Step 6: Divide the Quotient

Now, divide the quotient (22) by 2:

22 ÷ 2 = 11 (Quotient) with a remainder of 0

Step 7: Divide the Quotient

Now, divide the quotient (11) by 2:

11 ÷ 2 = 5 (Quotient) with a remainder of 1

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:

1011000101

So, the binary representation of the decimal number 709 is 1011000101.

Decimal To Binary Converter

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