def clean_binary_string(binary_str, length=32):
    """Clean and format a binary string to ensure proper format"""
    # Remove any whitespace and ensure proper length
    cleaned = ''.join(binary_str.split())
    return cleaned.zfill(length)

def grey_to_bin(gray):
    """Convert Gray code to binary, operating on the integer value directly"""
    # Clean and format input string
    gray = clean_binary_string(gray, 32)
    try:
        num = int(gray, 2)  # Convert string to integer
        mask = num
        while mask != 0:
            mask >>= 1
            num ^= mask
        return format(num, '032b')  # Always return 32-bit string
    except ValueError as e:
        print(f"Error in grey_to_bin with input: '{gray}'")
        raise e

def bin_to_grey(binary):
    """Convert binary to Gray code using XOR with right shift"""
    # Clean and format input string
    binary = clean_binary_string(binary, 32)
    try:
        num = int(binary, 2)  # Convert string to integer
        gray = num ^ (num >> 1)  # Gray code formula: G = B ^ (B >> 1)
        return format(gray, '032b')  # Always return 32-bit string
    except ValueError as e:
        print(f"Error in bin_to_grey with input: '{binary}'")
        raise e

def bin_to_param(binary, q_min = 0.0, q_max = 10.0):
    """Convert one binary string to float parameter in range [q_min, q_max]"""
    # Clean and format input string
    binary = clean_binary_string(binary, 7)  # 7 bits for parameters
    try:
        val = int(binary, 2) / 25.5 * 10 # conversion to 0.0 - 10.0 float
        # Scale to range [q_min, q_max]
        q = q_min + ((q_max - q_min) / (2**len(binary))) * val
        return q
    except ValueError as e:
        print(f"Error in bin_to_param with input: '{binary}'")
        raise e