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+# mruby-numeric-ext
+
+## Purpose
+
+This mrbgem extends the `Numeric` and `Integer` classes in mruby with additional methods for common numerical operations and checks.
+
+## Functionality
+
+This gem adds the following methods:
+
+### Numeric Class
+
+- `zero?`: Returns `true` if the number is zero, `false` otherwise.
+- `nonzero?`: Returns the number itself if it's not zero, `nil` otherwise.
+- `positive?`: Returns `true` if the number is greater than 0, `false` otherwise.
+- `negative?`: Returns `true` if the number is less than 0, `false` otherwise.
+- `integer?`: Returns `true` if the number is an `Integer` (this is overridden in the `Integer` class).
+
+### Integer Class
+
+- `allbits?(mask)`: Returns `true` if all bits of `self & mask` are 1.
+- `anybits?(mask)`: Returns `true` if any bits of `self & mask` are 1.
+- `nobits?(mask)`: Returns `true` if no bits of `self & mask` are 1.
+- `ceildiv(other)`: Returns the result of `self` divided by `other`, rounded up to the nearest integer.
+- `integer?`: Returns `true` (overrides `Numeric#integer?`).
+- `remainder(numeric)`: Returns the remainder of `self` divided by `numeric`. Equivalent to `x - y * (x / y).truncate`.
+- `pow(numeric)`: Returns `self` raised to the power of `numeric`.
+- `pow(integer, integer)`: Returns modular exponentiation (`(self ** exponent) % modulus`).
+- `digits(base=10)`: Returns an array of integers representing the base-radix digits of `self`. The first element is the least significant digit.
+- `size`: Returns the number of bytes in the machine representation of the integer.
+- `odd?`: Returns `true` if the integer is odd, `false` otherwise.
+- `even?`: Returns `true` if the integer is even, `false` otherwise.
+- `Integer.sqrt(integer)`: (Class method) Returns the integer square root of the given non-negative integer.
+
+## How to use
+
+To use this mrbgem, add it to your `build_config.rb`:
+
+```ruby
+MRuby::Build.new do |conf|
+  # ... (other configurations)
+  conf.gem :core => 'mruby-numeric-ext'
+end
+```
+
+Then you can use the extended methods:
+
+```ruby
+p 5.positive?  # => true
+p (-3).negative? # => true
+p 0.zero?      # => true
+p 5.nonzero?   # => 5
+p 0.nonzero?   # => nil
+
+p 7.allbits?(3)  # => false (binary 111 & 011 is 011, not 011)
+p 7.anybits?(3)  # => true
+p 7.nobits?(8)   # => true (binary 111 & 1000 is 000)
+
+p 10.ceildiv(3)   # => 4
+p (-10).ceildiv(3) # => -3
+
+p 10.remainder(3) # => 1
+p (-10).remainder(3) # => -1
+
+p 2.pow(3)        # => 8
+p 2.pow(3, 5)     # => 3 ( (2**3) % 5 )
+
+p 12345.digits    # => [5, 4, 3, 2, 1]
+p 12345.digits(16) # => [9, 3, 0, 3]
+
+p 42.size         # => (depends on machine, e.g., 4 or 8)
+p 5.odd?          # => true
+p 4.even?         # => true
+p Integer.sqrt(16) # => 4
+p Integer.sqrt(17) # => 4
+```