315 Decimal in Binary

Let's convert the decimal number 315 to binary without using a calculator:

Step 1: Divide by 2

Start by dividing 315 by 2:

315 ÷ 2 = 157 (Quotient) with a remainder of 1

Step 2: Divide the Quotient

Now, divide the quotient (157) by 2:

157 ÷ 2 = 78 (Quotient) with a remainder of 1

Step 3: Divide the Quotient

Now, divide the quotient (78) by 2:

78 ÷ 2 = 39 (Quotient) with a remainder of 0

Step 4: Divide the Quotient

Now, divide the quotient (39) by 2:

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

Step 5: Divide the Quotient

Now, divide the quotient (19) by 2:

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

Step 6: Divide the Quotient

Now, divide the quotient (9) by 2:

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

Step 7: Divide the Quotient

Now, divide the quotient (4) by 2:

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

Step 8: Divide the Quotient

Now, divide the quotient (2) by 2:

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

Step 9: Final actions

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

Step 10: Write the Remainders in Reverse Order

Now, write down the remainders obtained in reverse order:

100111011

So, the binary representation of the decimal number 315 is 100111011.

Decimal To Binary Converter

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