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to Hexadecimal in the Elixir Track

Published at Nov 14 2019 · 0 comments
Test suite

Convert a hexadecimal number, represented as a string (e.g. "10af8c"), to its decimal equivalent using first principles (i.e. no, you may not use built-in or external libraries to accomplish the conversion).

On the web we use hexadecimal to represent colors, e.g. green: 008000, teal: 008080, navy: 000080).

The program should handle invalid hexadecimal strings.

Running tests

Execute the tests with:

$ mix test

Pending tests

In the test suites, all but the first test have been skipped.

Once you get a test passing, you can unskip the next one by commenting out the relevant @tag :pending with a # symbol.

For example:

# @tag :pending
test "shouting" do
  assert Bob.hey("WATCH OUT!") == "Whoa, chill out!"

Or, you can enable all the tests by commenting out the ExUnit.configure line in the test suite.

# ExUnit.configure exclude: :pending, trace: true

If you're stuck on something, it may help to look at some of the available resources out there where answers might be found.


All of Computer Science http://www.wolframalpha.com/examples/NumberBases.html

Submitting Incomplete Solutions

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


defmodule HexadecimalTest do
  use ExUnit.Case

  test "returns 1 when hex is 1" do
    assert Hexadecimal.to_decimal("1") == 1

  @tag :pending
  test "returns 12 when hex is c" do
    assert Hexadecimal.to_decimal("c") == 12

  @tag :pending
  test "hexadecimal is case insensitive" do
    assert Hexadecimal.to_decimal("C") == 12

  @tag :pending
  test "returns 16 when hex is 10" do
    assert Hexadecimal.to_decimal("10") == 16

  @tag :pending
  test "returns 175 when hex is af" do
    assert Hexadecimal.to_decimal("af") == 175

  @tag :pending
  test "returns 256 when hex is 100" do
    assert Hexadecimal.to_decimal("100") == 256

  @tag :pending
  test "returns 105_166 when hex is 19ace" do
    assert Hexadecimal.to_decimal("19ace") == 105_166

  @tag :pending
  test "returns 0 when hex is invalid" do
    assert Hexadecimal.to_decimal("carrot") == 0

  @tag :pending
  test "returns 0 when hex represents black" do
    assert Hexadecimal.to_decimal("000000") == 0

  @tag :pending
  test "returns 16_777_215 when hex represents white" do
    assert Hexadecimal.to_decimal("ffffff") == 16_777_215

  @tag :pending
  test "returns 16_776_960 when hex represents yellow" do
    assert Hexadecimal.to_decimal("ffff00") == 16_776_960


ExUnit.configure(exclude: :pending, trace: true)
defmodule Hexadecimal do
  @hex_alphabet %{
    "a" => 10, "A" => 10, "b" => 11, "B" => 11, "c" => 12, "C" => 12,
    "d" => 13, "D" => 13, "e" => 14, "E" => 14, "f" => 15, "F" => 15,

  @spec to_decimal(binary) :: integer
  def to_decimal(hex) do
    if Regex.match?(~r/^[a-fA-F0-9]*$/, hex), do: from_hex(hex), else: 0

  defp from_hex(""), do: 0
  defp from_hex(<<char::binary-size(1), rest::binary>> = hex) do
    from_hex(rest) + (to_integer(char) * pow(String.length(hex) - 1))

  defp to_integer(char) do
    if char in Map.keys(@hex_alphabet), do: @hex_alphabet[char], else: String.to_integer(char)

  defp pow(exp, base \\ 16), do: base |> :math.pow(exp) |> round()

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