311 Decimal in Binary

Let's convert the decimal number 311 to binary without using a calculator:

Step 1: Divide by 2

Start by dividing 311 by 2:

311 ÷ 2 = 155 (Quotient) with a remainder of 1

Step 2: Divide the Quotient

Now, divide the quotient (155) by 2:

155 ÷ 2 = 77 (Quotient) with a remainder of 1

Step 3: Divide the Quotient

Now, divide the quotient (77) by 2:

77 ÷ 2 = 38 (Quotient) with a remainder of 1

Step 4: Divide the Quotient

Now, divide the quotient (38) by 2:

38 ÷ 2 = 19 (Quotient) with a remainder of 0

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:

100110111

So, the binary representation of the decimal number 311 is 100110111.

Decimal To Binary Converter

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