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# Binary Convert a binary number, represented as a string (e.g. '101010'), to its decimal equivalent using first principles. 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 *n*th 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`. * * * * For installation and learning resources, refer to the [exercism help page](http://exercism.io/languages/ruby). For running the tests provided, you will need the Minitest gem. Open a terminal window and run the following command to install minitest: gem install minitest If you would like color output, you can `require 'minitest/pride'` in the test file, or note the alternative instruction, below, for running the test file. In order to run the test, you can run the test file from the exercise directory. For example, if the test suite is called `hello_world_test.rb`, you can run the following command: ruby hello_world_test.rb To include color from the command line: ruby -r minitest/pride hello_world_test.rb ## Source All of Computer Science [http://www.wolframalpha.com/input/?i=binary&a=*C.binary-_*MathWorld-](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.
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102 entries across 102 versions & 1 rubygems