Show work, an IEEE 754 single precision number uses 1 bit for the sign 8 bits for the exponent and 23 bits for the mantissa. What would be the range of values that could be represented with a hypothetical less-than-half precision number that used 1 bit for the sign, 5 bits for the exponent and 2 bits for the mantissa. Assume an exponential bias of 15 and that the exponent values of (000)2 and (111)2 are reserved.

(a). What exactly is the largest positive value that can be represented by less-than-half-precision number format described in the previous question? Express your answer in base 10

(b) How many significant base 2 digits can the less-than-half-precision number store?

(c) Show the contents of the 8 bits if 6 is stored as a less-than-halfprecision number?

(d) Given the following contents of a byte representing a less-than-halfprecision number, what number is this in base 10? 10101100