show full detailed work with explaination for each step, thank u

4. A 32-bit IEEE-754 floating-point number consists of one sign bit, eight exponent bits and 23 mantissa bits. Given the following IEEE-754 floating points number in binary, convert it into decimal floating point numbers: 0x40F00000 (10 marks): a) What is its 32 Binary Representation: (2 marks) 0100 0000 1111 0000 0000 0000 0000 0000 b) What is its one binary sign bit: (2 marks) c) What are its eight binary exponent bits: (2 marks) 10000001 d) What are its 23 binary mantissa bits: (2 marks) 111 0000 0000 0000 0000 0000 e) What is its decimal representation: (2 marks) 7.5