# turn hex values into decimals
# and vise versa
def hex_code(value, mode):

    # dictionary containing
    # hexadecimal equivalents
    # of decimals
    hex_dict = {
            10:'A',
            11:'B',
            12:'C',
            13:'D',
            14:'E',
            15:'F'
            }

    # if turning hex values
    # into decimals, reverse
    # the dictionary
    if mode == 'decode':
        hex_dict = {v:k for k,v in hex_dict.items()}

    # list the values so
    # we can change their
    # properties
    value = list(value)

    for i in range(len(value)):
        # store the current value
        # so indexing will be easier
        # to read
        item = value[i]

        if not(item in hex_dict):
            continue

        value[i] = hex_dict[item]

    return value

# any number base to decimal
def any_to_decimal(value, from_base):

    # if value is in base 16,
    # convert the values to
    # decimal equivalent
    value = hex_code(value, 'decode')

    # variables to store
    # the output and the
    # exponent
    output = 0
    expo  = 0

    # iterate through the
    # value in reverse
    for i in value[::-1]:
        output += int(i) * (from_base ** expo)
        expo += 1

    return output

# decimal to any number base
def decimal_to_any(value, to_base):

    # list variable to
    # store the remainders
    output = []

    # append the remainders
    # to output until value reaches 0
    while value > 0:
        output.append(value % to_base)
        value //= to_base

    # convert values to hex
    # equivalents if to_base == 16
    if to_base == 16:
        output = hex_code(output, 'encode')

    # reverse the output
    output = output[::-1]

    return output

# octal to hexadecimal vise versa
def octal_to_hexa(value, from_base):

    # turn the value into
    # decimal so we can
    # convert the decimal into
    # the other base
    output = any_to_decimal(value, from_base)

    # convert the value again to the opposite base
    if from_base == 8:
       output = decimal_to_any(output, 16)
    else:
       output = decimal_to_any(output, 8)

    return output