Implement binary to decimal conversion. Given a binary input string, your program should produce a decimal output. The program should handle invalid inputs.

Note

Implement the conversion yourself. Do not use something else to perform the conversion for you.

About Binary (Base-2)

Decimal is a base-10 system.

A number 23 in base 10 notation can be understood as a linear combination of powers of 10:

The rightmost digit gets multiplied by 10^0 = 1
The next number gets multiplied by 10^1 = 10
...
The nth number gets multiplied by 10^(n-1).
All these values are summed.

So: 23 => 2*10^1 + 3*10^0 => 2*10 + 3*1 = 23 base 10

Binary is similar, but uses powers of 2 rather than powers of 10.

So: 101 => 1*2^2 + 0*2^1 + 1*2^0 => 1*4 + 0*2 + 1*1 => 4 + 1 => 5 base 10.

Submitting Exercises

Note that, when trying to submit an exercise, make sure the solution is in the exercism/python/<exerciseName> directory.

For example, if you're submitting bob.py for the Bob exercise, the submit command would be something like exercism submit <path_to_exercism_dir>/python/bob/bob.py.

For more detailed information about running tests, code style and linting, please see the help page.

Source

All of Computer Science http://www.wolframalpha.com/input/?i=binary&a=*C.binary-_*MathWorld-

Submitting Incomplete Solutions

It's possible to submit an incomplete solution so you can see how others have completed the exercise.