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 2^{5}-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) = 206_{10}.

### 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}