Question 3: [20 Marks] IEEE-754 floating point numbers Single-precision (32-bit) and double-precision (64-bit) are the most common floating-point formats, but formats with alternative field width may be implemented to achieve better precision-speed or precision-range trade-offs for specific tasks. Consider the following two shorter floating-point formats: FP16: 1-bit sign, 5-bit exponent and 10-bit mantissa BF16: 1-bit sign, 8-bit exponent and 7-bit mantissa You may want to use a calculator for the following questions. (a) (10 marks) Find the maximum and minimum non-zero value, in terms of absolute value and excluding denormalized forms, that both formats can represent. Which format has a wider range