# Speed Up Your Programming Skills with These Problem-Solving Challenges

## Problem 1:

If we have a single Processor with a Failure in Time(FIT) of 100, what is the Mean Time to Failure(MTTF) for the system? 3 points

## Problem 2:

How much power savings can be achieved by placing 60% of the servers in a "barely live state" and by reducing the voltage by 20% and frequency by 40%? 4 points

## Problem 3:

What is the speedup obtained from the fast mode when enhanced mode is used 75% of the time? 3 points

## Problem 4:

Write an Assembly language code that takes in two numbers b and p and returns the result of a given expression. 10 points

## Problem 5:

Convert the given pseudocode into Assembly code. 20 points

## Problem 1:

The Mean Time to Failure (MTTF) for a system with a single Processor with FIT of 100 is 3.65 days.

## Problem 2:

a) By placing 60% of servers in a "barely live state," power savings of 48% can be achieved. b) By reducing the voltage by 20% and frequency by 40%, power savings of 36% can be achieved.

## Problem 3:

The speedup obtained from the fast mode is 0.175.

## Problem 4:

Assembly language code to calculate the value of x: li s0, 5 add s0, s0, a0 li s1, 2 sub s1, a1, s1 mul s0, s0, s1 li s1, 10 mul s0, s0, s1 li s1, 4 div s0, s0, s1

## Problem 5:

Assembly code for the given pseudocode: la s0, A li s1, 0 li s2, 0 Loop: beq s1, 7, Done andi t0, s1, 1 bne t0, zero, Next add t0, s0, s1 lw t0, 0(t0) add s2, s2, t0 Next: addi s1, s1, 1 j Loop Done: sw s2, sum

Are you ready to tackle these challenging problems that will enhance your programming skills? Whether you're a beginner or an experienced programmer, these problems will test your knowledge and problem-solving abilities. Let's dive into the solutions for each problem:

## Problem 1: Mean Time to Failure (MTTF)

The MTTF for a system with a single Processor with FIT of 100 is 3.65 days. It's essential to understand the concept of failure in time and how it affects system reliability.

## Problem 2: Power Savings

By optimizing server states and power consumption, you can achieve significant power savings. Understanding the relationship between power, capacity, and efficiency is crucial for system optimization.

## Problem 3: Speedup Calculation

Calculating the speedup obtained from different modes of execution is vital for performance evaluation and system improvement. Enhancing execution modes can lead to better efficiency and productivity.

## Problem 4: Assembly Language Code

Writing efficient assembly language code can improve the performance of your programs. Understanding data manipulation and arithmetic operations in assembly language is key to developing optimized solutions.

## Problem 5: Pseudocode to Assembly Code

Translating pseudocode into assembly code requires a deep understanding of programming logic and syntax. Converting high-level algorithms into low-level instructions is a fundamental skill for programmers.

By solving these problems and exploring their solutions, you can sharpen your programming skills and gain valuable experience in system optimization and efficiency. Embrace the challenges and enhance your problem-solving abilities today!