Input validation confusion!

I’ve just written the module below just as a practice. It converts numbers between different bases. But there is a problem. When converting from a non-decimal basis, the user can give a number with a digit that is greater than or equal to the base, which is invalid. So I want to validate inputs and return an error for such numbers. But I’m not quite sure how I should write it. I tried putting the following line after [h | t] = num in to_decimal:

unless  h < base do
  :invalid
end

But weirdly, the function doesn’t return and continues execution! I also tried the following instead, so that at least I replace the invalid digit with the greatest valid digit:

unless h < base do
  h = base-1
end

This had a weird outcome too. h goes back to its original value after the unless block!
So can anyone help?
Any other comment about the code is welcome.
Thanks

defmodule BaseConvert do
  @symbols %{
    0 => "0",
    1 => "1",
    2 => "2",
    3 => "3",
    4 => "4",
    5 => "5",
    6 => "6",
    7 => "7",
    8 => "8",
    9 => "9",
    10 => "a",
    11 => "b",
    12 => "c",
    13 => "d",
    14 => "e",
    15 => "f",
    16 => "g",
    17 => "h",
    18 => "i",
    19 => "j",
    20 => "k",
    21 => "l",
    22 => "m",
    23 => "n",
    24 => "o",
    25 => "p",
    26 => "q",
    27 => "r",
    28 => "s",
    29 => "t",
    30 => "u",
    31 => "v",
    32 => "w",
    33 => "x",
    34 => "y",
    35 => "z",
    36 => "A",
    37 => "B",
    38 => "C",
    39 => "D",
    40 => "E",
    41 => "F",
    42 => "G",
    43 => "H",
    44 => "I",
    45 => "J",
    46 => "K",
    47 => "L",
    48 => "M",
    49 => "N",
    50 => "O",
    51 => "P",
    52 => "Q",
    53 => "R",
    54 => "S",
    55 => "T",
    56 => "U",
    57 => "V",
    58 => "W",
    59 => "X",
    60 => "Y",
    61 => "Z"
  }

  @digits Map.to_list(@symbols) |> Enum.map(fn {k, v} -> {v, k} end) |> Map.new()

  def convert(num, 10, to) do
    num |> from_decimal(to) |> format()
  end

  def convert(num, from, to) when is_integer(num) do
    num |> to_string() |> convert(from,to)
  end

  def convert(num, from, 10) do
    num |> parse() |> to_decimal(from)
  end

  def convert(num, from, to) do
    num |> parse() |> to_decimal(from) |> from_decimal(to) |> format()
  end

  defp from_decimal(num, base, result \\ []) when is_integer(num) do
    result = [rem(num, base) | result]

    unless num < base do
      from_decimal(div(num, base), base, result)
    else
      result
    end
  end

  defp to_decimal(num, base, result \\ 0) when is_list(num) do
    unless length(num) == 0 do
      [h | t] = num
      result = result + :math.pow(base, length(num) - 1) * h
      to_decimal(t, base, result)
    else
      trunc(result)
    end
  end

  defp format(num) when is_list(num) do
    Enum.map(num, fn x -> @symbols[x] end) |> List.to_string()
  end

  defp parse(num) do
    String.split(num, "")
    |> List.delete_at(-1)
    |> List.delete_at(0)
    |> Enum.map(fn x -> @digits[x] end)
  end
end