```python
def format_bits(value: int, width: int) -> str:
    if value < 0:
        raise ValueError("Value must be non-negative")
    if width % 4 != 0 or width > 32:
        raise ValueError("Width must be a positive multiple of four and not exceed 32")
    if value >= 1 << width:
        raise ValueError("Value does not fit in the specified width")

    binary_str = f"{value:0{width}b}"
    return ' '.join(binary_str[i:i+4] for i in range(0, width, 4))
```