You are working at Hal Inc. designing the next generation CPU. The CPU is implemented using CMOS

transistor technology, and its ISA contains three types of instructions. Some information about your system

follows:

Compiler C$1$ Output Mix

Instr. Type Mix

Arithmetic $50\%$

Memory $30\%$

Control $20\%$

$($the above is on benchmark B$)$

CPU Cycle Count

Type CPI

Arithmetic $2$

Memory $3$

Control $4$

CPU clock rate: $2$GHz

These problem parts are independent unless otherwise stated.

$1.$ What is the throughput of the chip $($recall that MIPS is the standard unit of throughput$).$

$2.$ You are running a program that has $4000$ arithmetic instructions, $3000$ memory instructions, and $1000$

control instructions. How long does the program take to run?

$3.$ A different compiler C$2$ generates code that replaces some arithmetic with lookup table accesses.

Specifically, it can replace $10$ arithmetic instructions with one memory access, and it can do this on

$10\%$ of arithmetic instructions. For benchmark B$,$ which compiler is faster and by how much?