How to Convert 555 to Binary Here we will show you step-by-step how to convert the decimal number 555 to binary.

First, note that decimal numbers use 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) and binary numbers use only 2 digits (0 and 1).

As we explain the steps to converting 555 to binary, it is important to know the name of the parts of a division problem. In a problem like A divided by B equals C, A is the Dividend, B is the Divisor and C is the Quotient.

The Quotient has two parts. The Whole part and the Fractional part. The Fractional part is also known as the Remainder.

Step 1) Divide 555 by 2 to get the Quotient. Keep the Whole part for the next step and set the Remainder aside.

Step 2) Divide the Whole part of the Quotient from Step 1 by 2. Again, keep the Whole part and set the Remainder aside.

Step 3) Repeat Step 2 above until the Whole part is 0.

Step 4) Write down the Remainders in reverse order to get the answer to 555 as a binary.

Here we will show our work so you can follow along:

555 / 2 = 277 with 1 remainder
277 / 2 = 138 with 1 remainder
138 / 2 = 69 with 0 remainder
69 / 2 = 34 with 1 remainder
34 / 2 = 17 with 0 remainder
17 / 2 = 8 with 1 remainder
8 / 2 = 4 with 0 remainder
4 / 2 = 2 with 0 remainder
2 / 2 = 1 with 0 remainder
1 / 2 = 0 with 1 remainder

Then, when we put the remainders together in reverse order, we get the answer. The decimal number 555 converted to binary is therefore:

1000101011

So what we did on the page was to Convert A10 to B2, where A is the decimal number 555 and B is the binary number 1000101011. Which means that you can display decimal number 555 to binary in mathematical terms as follows:

55510 = 10001010112

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