int_as_binary.py

class IntAsBinary:
    def __init__(self, value: int = None, binary: list[bool | None] = None, digits: int = None) -> None:
        if (digits is None) and (value is not None):
            digits = value.bit_length()
        elif digits is None:
            digits = len(binary)

        if value is not None:
            self.value: int | None = value
            self.binary: [bool | None] = [((1 << i) & value) != 0 for i in range(value.bit_length())] + ([False] * (digits - value.bit_length()))
        elif binary is not None:
            self.binary = binary + ([False] * (digits - len(binary)))
            if None in binary:
                self.value = None
            else:
                self.value = sum([(1 << i) for i in binary if i])

    def minimize(self, other):
        new: IntAsBinary = IntAsBinary(binary=self.binary[:])
        has_changed: bool = False
        for i, v in enumerate(self.binary):
            if v != other.binary[i] and (v is not None) and (other.binary[i] is not None):
                if not has_changed:
                    new.binary[i] = None
                    has_changed = True
                else:
                    return None
        if has_changed:
            return new
        return None

    def __eq__(self, other) -> bool:
        if len(other.binary) != len(self.binary):
            return False
        for i, v in enumerate(self.binary):
            if v != other.binary[i]:
                return False
        return True

    def __str__(self):
        if self.value is not None:
            return str(self.value)
        return self.binary