1.4 [2] Assume a color display using 8 bits for each of the primary colors (red, green, blue) per pixel and a frame size of 1280 x 1024. a. What is the minimum size in bytes of the frame buffer to store a frame? b. How long would it take, at a minimum, for the frame to be sent over a 100 Mbit/s network? 1.5 (4) Consider three different processors P1, P2, and P3 executing the same instruction set. Pi has a 3 GHz clock rate and a CPI of 1.5. P2 has a 2.5 GHz clock rate and a CPI of 1.0. P3 has a 4.0 GHz clock rate and has a CPI of 2.2. a. Which processor has the highest performance expressed in instructions per second? b. If the processors each execute a program in 10 seconds, find the number of cycles and the number of instructions. c. We are trying to reduce the execution time by 30% but this leads to an increase of 20% in the CPI. What clock rate should we have to get this time reduction? 1.9 Assume for arithmetic, load/store, and branch instructions, a processor has CPIs of 1, 12, and 5, respectively. Also assume that on a single processor a program requires the execution of 2.56E9 arithmetic instructions, 1.28E9 load/store instructions, and 256 million branch instructions. Assume that each processor has a 2 GHz clock frequency. Assume that, as the program is parallelized to run over multiple cores, the number of arithmetic and load/store instructions per processor is divided by 0.7 xp (where p is the number of processors) but the number of branch instructions per processor remains the same. 1.9.1 (5) Find the total execution time for this program on 1, 2, 4, and 8 processors, and show the relative speedup of the 2, 4, and 8 processor result relative to the single processor result. 1.13 Exercises 1.9.2 (10) If the CPI of the arithmetic instructions was doubled, what would the impact be on the execution time of the program on 1, 2, 4, or 8 processors? 1.9.3 (10) To what should the CPI of load/store instructions be reduced in order for a single processor to match the performance of four processors using the original CPI values? COMPUTER ORGANIZATION AND DESIGN THE HARDWARE/SOFTWARE INTERFACE FIFTH EDITION DAVID A. PATTERSON JOHN L. HENNESSY QUOD 000 9900 99800 MK 1.4 [2] Assume a color display using 8 bits for each of the primary colors (red, green, blue) per pixel and a frame size of 1280 x 1024. a. What is the minimum size in bytes of the frame buffer to store a frame? b. How long would it take, at a minimum, for the frame to be sent over a 100 Mbit/s network? 1.5 (4) Consider three different processors P1, P2, and P3 executing the same instruction set. Pi has a 3 GHz clock rate and a CPI of 1.5. P2 has a 2.5 GHz clock rate and a CPI of 1.0. P3 has a 4.0 GHz clock rate and has a CPI of 2.2. a. Which processor has the highest performance expressed in instructions per second? b. If the processors each execute a program in 10 seconds, find the number of cycles and the number of instructions. c. We are trying to reduce the execution time by 30% but this leads to an increase of 20% in the CPI. What clock rate should we have to get this time reduction? 1.9 Assume for arithmetic, load/store, and branch instructions, a processor has CPIs of 1, 12, and 5, respectively. Also assume that on a single processor a program requires the execution of 2.56E9 arithmetic instructions, 1.28E9 load/store instructions, and 256 million branch instructions. Assume that each processor has a 2 GHz clock frequency. Assume that, as the program is parallelized to run over multiple cores, the number of arithmetic and load/store instructions per processor is divided by 0.7 xp (where p is the number of processors) but the number of branch instructions per processor remains the same. 1.9.1 (5) Find the total execution time for this program on 1, 2, 4, and 8 processors, and show the relative speedup of the 2, 4, and 8 processor result relative to the single processor result. 1.13 Exercises 1.9.2 (10) If the CPI of the arithmetic instructions was doubled, what would the impact be on the execution time of the program on 1, 2, 4, or 8 processors? 1.9.3 (10) To what should the CPI of load/store instructions be reduced in order for a single processor to match the performance of four processors using the original CPI values? COMPUTER ORGANIZATION AND DESIGN THE HARDWARE/SOFTWARE INTERFACE FIFTH EDITION DAVID A. PATTERSON JOHN L. HENNESSY QUOD 000 9900 99800 MK