Question: Please solve it its need UB number which is UB:18023914 Consider the 16-bit floating-point number representation system following IEEE-754 standard, also known as half-precision floating-point
Please solve it its need UB number which is UB:18023914

Consider the 16-bit floating-point number representation system following IEEE-754 standard, also known as half-precision floating-point format. A). Describe the 16-bit floating point number representation system by answering the following questions: a). What is the smallest positive number in this system? (1 marks) b). How many real numbers are there in this system? (1 marks) c). What is the machine epsilon for the system? (1 marks) B). Determine the absolute and relative errors when representing the number p using the 16-bit floating- point number representation system following IEEE-754 standard. Let the 8 digits of your UB student number be represented as daddadadadadady. You must use the p value specifically defined by three digits fo your UB number de, do, dy as given in the following table. (12 marks, full marks only awarded where full workings are provided) No d4 d7 p value 1 Even Even Even 34.3 2 Even Even Odd 65.8 Even Odd Even 52.4 Even Odd 71.1 Odd Even Even 37.6 Odd Even Odd 82.3 7 Odo Odd Even 61.7 Odd Odd Odd 93.4 Remark that 0 is considered to be an even number. Example: If your UoB number is 12345678, we have d = 5 ds = 6 d7 = 8. By looking at the entries of the table, do = 5, ds = 6 and dy = 8 correspond to a row with (Odd, Even, Even) combination. Therefore, your should use p = 37.6. Note: failing to use the correct p value defined by your UB number will result in zero mark Submission: The solutions can be typed (Word document), or hand-written (image file). Where the solutions are hand- written, they needs to be clear and legible
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