Homework #5 Due Thurs 04/03/03 in class:

From the textbook:
4.54; 4.58; 4.53 (extra credit problem)

1. [30 points] 
Determine the IEEE single format floating point representation for
the following numbers: 
	a. 2 
	b. 1000 
	c. 23/4 
	d. (23/4)x2^{100}
	e. (23/4)x2^{-100}
	f. (23/4)x2^{-135}
	g. 1/5 
	h. 1024/5
	i. (1/10)x2^{-140}
	
	(Note that "2^{X}" means "two to the power X".)

2. [20 points]
Consider the operation x+y, where  x = 1.0 and y =(1.000...01)x2^{-24}, 
and y has 22 zero bits between the binary pointand the final 1 bit. 
	a. What is the correctly rounded result assuming rounding to the nearest 
		even mode and IEEE single floating point format?
	b. What is computed if only one guard bit is used?
	c. What if a guard, rounding and sticky bits are used?