CSE410		HOMEWORK #2 		Spring 2003
				DUE: Thursday, April 17 

1. (a) Give the representation of the decimal number -5 as a 7 bit value in 
    each of sign-magnitude, one's complement, two's complement, and excess 
    2^(n-1) notation. 
  
  (b) Consider the two's complement representation of signed integers 
    using 4 bits. For each of the 16 possible bit configurations, give 
    in decimal notation, the corresponding number represented. 

2. Assume that numbers are represented in two's complement with 5 bits. 
 
   (a) What are the largest and smallest numbers (in decimal) that can be 
    represented? 

   (b) Perform the indicated computations: 
   	i) 01010 + 00011	ii) 01010 + 10010 
	iii) 00000 - 11110	iv) 10010 + 11110 

3. Derive the representations of the numbers 5/32 and -8.5 in IEEE 
   floating-point standard 754 format. Show your work. 
   Express your answers in hexadecimal. 

4. A 32 bit word contains the following bit string S (in hexadecimal): 
		B F 4 0 0 0 0 0 
   For each of the questions below, show your work in deriving the answer.

   (a) If S denotes an integer in sign-magnitude representation, what is 
    the value of the represented integer in standard decimal notation? 

   (b) Assume that S represents an integer in two's complement representation. 
    What is the value of S in base 10 (decimal)? 

   (c) Suppose that S denotes a floating point number in IEEE 754 floating 
    point format. Expressed in standard scientific notation, base 10, what 
    is the represented number?