Bases

Convert from and to any base you can think of.

NOTE: this gem is looking for a new maintainer (as I'm very busy with Elixir). I am basically only maintaining it alive but not updating it in any way. If you're interested, please contact me on my email or open an issue. Thanks :D! 💟

A bunch of features:

• Convert to bases up to whatever you want!
• Use custom bases defined as arrays, like this binary base: ['↓', '↑'].
• Use multicharacter digits.
• Use emojis as digits!
• Fall back to Ruby's Integer#to_s and String#to_i when the base is less than 36.
• Superdocumented, tested like shuttle launches were depending on it (this may not be true).
• Supports MRI Ruby (yeah, just Ruby) from version 1.9.3.

Ruby can convert bases, but only with bases up to 36. But converting to bigger bases is just as fun (if not even more!), since you can easily reduce the number of character used to represent a number.

I only know of gem that does this, radix. Radix isn't bad, but I don't like it because it monkeypatches everything. It provides the b method on strings, which on recent versions of Ruby is also a default method.

Add this line to your application's Gemfile:

gem 'bases'

And then execute:

$ bundle

Or install it yourself as:

$ gem install bases

The main hub for the usage of this gem is the Bases.val method. It takes a parameter that can be a bunch of things.

• An integer: in this case, the source base is assumed to be the decimal base.
• An array: no base is assumed, you have to manually specify it (keep reading!). The array is assumed to be a list of digits (each element is a digit) from the most significant one to the least significant one, like you'd expect.
• A string: no base is assumed. If the string doesn't contain whitespace, each character is assumed to be a digit; otherwise, whitespace is assumed to separate multicharacter digits (wow, multicharacter digits!).

The return value of Bases.val is junk (sort of), so you want to call some methods to specify a source base and a destination base.

Those methods are the in_base and to_base methods:

Bases.val('100').in_base(2).to_base(10)  #=> '4'
Bases.val('1111').in_base(2).to_base(16) #=> 'f'
Bases.val('A').in_base(16).to_base(10)   #=> '10'

The to_base method always returns a String, even with to_base(10). To overcome that, just call to_i on the string.

When you pass an integer to val, base 10 is assumed:

Bases.val(10).to_base(Bases::HEX) #=> 'A'
Bases.val(0b1011).to_base(2)                  #=> '1011'

Bases.val is aliased to Bases.[], so that you can easily create values with a clean syntax:

Bases[5].to_base(2) #=> '101'

You can use arrays everywhere you can use a base. The elements of the array will be the digits of the new base, from left to right. Defining a base through an array is easy:

# An alternative way of defining base 2:
base2 = [0, 1]

# A very cool alternative binary base:
christmas_star_base = %w(+ ≈)

# A (contrived) example of base64:
base64 = ('A'..'Z').to_a + ('a'..'z').to_a + (0..9).to_a + %w(+ /)

Some default (common) bases are offered as constants:

Bases::B62    #=> base 62 (alphanumeric)
Bases::B64    #=> base64

The gem provides a bunch of methods for dealing with common bases. These methods should be used in place of the in_base and to_base methods.

They are:

• in_binary/to_binary
• in_hex/to_hex (in_hex solves the issue noted in the hexadecimal base section)

Since the decimal is also common, a to_i method is included. This method returns an integer, not a string, in order to conform with the Ruby standard library.

Bases.val('1010').in_binary.to_i #=> 10

I can see the appeal of monkeypatching (can I?). So, you can specifically require to monkeypatch the Integer, Array and String Ruby classes:

# Instead of just 'bases':
require 'bases/monkeypatches'

2.to_base [:a, :b] #=> 'ba'
10.to_binary #=> '1010'
15.to_hex #=> 'f'

'A'.in_hex.to_i #=> 10
'baba'.in_base([:a, :b]).to_base(2) #=> '1010'

['foo', 'bar'].in_base(['foo', 'bar', 'baz']).to_i #=> 1

Fork, make changes, commit those changes, push to your fork, create a new Pull Request here. Thanks!