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The ability to know the max size of a binary number allows us to check our work when we go to find the actual value of a binary number.

A five-digit binary number can never be more than `31`, or 25-1 because `11111` is equal to `31`.

To help keep our workspaces clear and concise, it is common practice to add subscripts to numbers when working multiple numbering systems in the same space.

`11111` and `31` from above should be represented as `11111`2 and `31`10 representing their bases for clarity. If no subscript is used, it is assumed to be a decimal number.

To convert from a binary to a decimal number, make a table like the one below. For every bit that contains a `1`, add that decimal number to the total. Let’s look at the 8-bit number `11001110`2. Adding the decimal values of all the `1`s highlighted in yellow gives us: (128) + (64) + (8) + (4) + (2) = 20610.

### Instructions

1.

Create a new variable, `decimal_conversion1`, with the converted decimal value of `100110`2

2.

Create a new variable, `decimal_conversion2`, with the converted decimal value of `1111011110011`2