Please answer BOTH questions!

Please answer question (f) without using XOR operation.

Thank you!

Suppose in the IEEE single format, the width of the exponent field is 4, not 8, and the width of the fraction field is 4, not 23. (f) (3 points) Given any three floating point numbers x, y and z in this system, is it always true that (x Oy) 0 z= x 0 (y z)? Either prove it or give a counterexample. (g) (2 points) Find a real x in the range of subnormal numbers such that (round(x) x | 20 1 E. 2 where the round to nearest mode is used. Suppose in the IEEE single format, the width of the exponent field is 4, not 8, and the width of the fraction field is 4, not 23. (f) (3 points) Given any three floating point numbers x, y and z in this system, is it always true that (x Oy) 0 z= x 0 (y z)? Either prove it or give a counterexample. (g) (2 points) Find a real x in the range of subnormal numbers such that (round(x) x | 20 1 E. 2 where the round to nearest mode is used