EE380 Assignment 4

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1. 50% 50% A single-precsion floating-point value for the MIPS processor is encoded in the IEEE-compliant format illustrated below (the LSB is on the right). Given this encoding, using only MIPS integer instructions, write a function that will compute the negative of a normalized floating-point number, i.e., x= -y;. Hints: use the fact that negative and positive float values differ only in the Sign bit, and test your routine using SPIM before you submit it.

   
   

   #### # # Float neg # # x = -y # .text .globl myfneg myfneg: # # Your code here # jr $ra # return

2. 100% We all know that floating point arithmetic is subject to roundoff errors. What about how floating point addition is implemented makes it inherently more subject to loss of accuracy than floating-point multiplication?
   

3. 
   
   100% In the single-cycle design shown in the above (rather large and very familiar) figure, which of the following signals is a "don't care" when executing a MIPS beq instruction?
   ALUOp
   ALUSrc
   RegDest
   MemRead
   RegWrite
4. 100% How would you build the "Sign Extend" function unit shown in the single-cycle design in the figure above? Answer in terms of the logic functions relating input bits I0-I15 to output bits O0-O31.
   
5. 100% Which of the following techniques for implementing control logic for a single-cycle design (like that given in Chapter 5) is most likely to yield the fastest circuit?
   Lookup Table (ROM)
   Random Logic
   Gate Array
6. 100% In multiplying an integer, X, by 9 using the basic shift-and-add algorithms discussed in class and in the book, what is the minimum number of additions that must be performed? Show the values that are added (hint: use (X<<Y) to represent the value of X shifted by Y bit positions).
   
7. 
   
   100% In the single-cycle design shown in the above (rather large and very familiar) figure, suppose that ALUSrc=0 and MemRead=1. Which of the following MIPS instructions might be executing?
   Sw $t0,4($t1)
   Lw $t0,4($t1)
   Ori $t0,$t1,2
   Add $t0,$t1,$t2
   None of the above instructions is consistent with the stated signal values

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