def float_to_binary(f):
    # Handle special cases: positive/negative infinity and NaN
    if f == float('inf') or f == float('-inf') or f != f:
        return bin(int.from_bytes(f.to_bytes(8, 'big', signed=True), 'big'))

    # Extract sign, exponent, and mantissa
    sign = 0 if f >= 0 else 1
    f = abs(f)
    exponent = 0
    while f >= 2.0:
        f /= 2.0
        exponent += 1
    while f < 1.0:
        f *= 2.0
        exponent -= 1

    # Convert mantissa and exponent to binary
    mantissa = bin(int((f - 1.0) * (2 ** 52)))
    exponent_bits = bin(exponent + 1023)

    # Format the binary representation
    binary_representation = f"{sign}{exponent_bits[2:]:>011}{mantissa[2:]:<052}"

    # Return the formatted binary representation
    return binary_representation


# Example usage
if __name__ == "__main__":
    # Get a floating-point number from the user
    float_number = float(input("Enter a floating-point number: "))

    # Convert the floating-point number to binary
    binary_representation = float_to_binary(float_number)

    # Print the binary representation
    print(f"The binary representation of {float_number} is: {binary_representation}")