Let us look at the format of the IEEE half-precision floating point number with 16 bits: exponent 0 sign (5 bit) O 15 O 10 Figure 1: from Wikipedia (a) Given a similar 16 bits binary machine number: 1 0 1 0 0 fraction (10 bit) The next smallest machine number: 0 1 00 0 0 0 0 0 000 Write down the next largest and smallest machine numbers in binary form. The next largest machine number: (c) Which of the following is the smallest floating point number in this system which is greater than 10? Explain. A. 10+2-7 B. 10+2-10 C. 10+2-23 D. 10 + 2-24 (d) Find smallest value of d so that for all r < 8 fl(10 + r) = 10. (e) Is related to the rounding unit? In particular, what can you say about d if 10 is replaced by another floating point number?