1-4

1. For the machine instruction 709F, the op-code field is and the operand field is Write the instruction as an actual 16-bit pattern. (6 points) 2. Suppose a block of data is stored in the memory cells of the machine described in Appendix C from address B8 to C2, inclusive. List their memory addresses. (4 points ) 3. Assume that the machine described in Appendix C uses memory-mapped I/O and that the address A 5 is the location within the printer port to which data to be printed should be sent. If register 8 contains the ASCII code for the letter A, what machine language instruction should be used to cause that letter to be printed at the printer? ( 4 points ) 1. Let f:GS be a ring homomorphism. Let x,yK, its kernel. Which of the following is a proof that K is closed under sums a. f(x+y)=f(x)+f(y)=0+0=0 b. f(x)+f(y)=0+f(y)=0 c. f(x+y)=y1+x1 d. f(x+y)=xy=0 2. Give a complete list of cosets for the subgroup N={(0,0),(0,1),(0,2)} in Z3Z3,+ a. N,{(1,0),(1,1),(1,2)},{(2,0),(2,1),(2,2)} b. N,{(0,1),(1,2),(2,0)},{(0,2),(1,0),(2,1)} c. N,N+1,N+2 d. N,{(0,1),(0,2),(0,0)},{(1,0),(2,0),(0,0)} 3. Find a subset of the next set which is independent and spans the same space: {(1,0,1,0),(0,1,0,2),(0,0,1,1),(1,1,1,2) a. {(1,0,1,0),(0,1,0,1),(1,1,1,2)} b. {(1,0,0,0),(0,1,0,2),(0,0,1,0)} C. {(1,0,1,0),(0,1,0,2),(0,0,1,1)} d. . {(1,0,0,0),(0,1,0,0)+(0,0,1,0)} 4. Add a vector to this set to get a basis for all of R4 : {(1,0,0,1),(0,0,1,1),(0,1,0,1)} a. {(1,2,0,1),(0,0,0,1),(0,2,0,1),(0,0,0,0)} b. {(1,2,0,1),(0,0,0,1),(0,2,0,1),(0,0,1,0)} C. {(1,2,0,1),(0,0,0,1),(0,2,0,1),(0,0,0,2)} d. {(1,0,0,1),(0,0,1,1),(0,1,0,1),(0,0,0,1)} 1