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Numbers have been represented in a variety of different methods throughout history. For example, if you look at the face of some clocks, you may see that six o’clock is designated by `VI`, the Roman Numeral for `6`.

The most successful system of numbering is called the decimal system, from the Latin root dec- meaning set of ten or having a base of ten.

Although the exact origins of this system are unknown, it is clear that it began with counting on our fingers and later evolved into substituting the Hindu-Arab characters of `0`, `1`, `2`, `3`, `4`, `5`, `6`, `7`, `8`, and `9` for fingers in order to perform larger operations.

In the decimal system, each digit can be represented by a multiple of a power of ten and added together with the other digits. Let’s look at the number `305`.

Starting at the right and moving left, the first column is the ones digit. The digit in this place value is `5`.

5 times 100 = `5`

The next digit, in the ten’s column, is `0`.

0 times 101 = `0`

Finally, the `3` is in the hundred’s column:

3 times 102 = `300`

By adding each column together, we get our total value:

``5 + 0 + 300 = 305.``

The binary system is very similar to the decimal system except it uses a base of two and only two digits, `0` and `1`. With the provided table we can use the same technique to evaluate `100110001`, which is `305` in binary. Try it out.

In binary, the digit that is farthest to the right is called the Least Significant Bit (LSB) and the left-most digit is called the Most Significant Bit (MSB).

### Instructions

Take a look at the visualization to the right to see the numbers 1-10 converted to binary.