Tutorial 2
Introduction to MIPS
This tutorial will get you up and running with the great MIPS instruction set. MIPS stands for Microprocessor without Interlocked Pipeline Stages, and it is a Reduced Instruction Set Computer assembly language. That means that the creators of MIPS designed it to be reduced or simplified, which is the reason that many universities around the world teach MIPS as a first assembly language.
In this tutorial I will try to be concise, clear and helpful. Whether you are going to take a course in college and want to prepare for it, or you are a self learner, a computer enthusiast, a veteran programmer or anybody who wants to learn assembly language the easy way, or brush up on it, then this tutorial series is for you. Enjoy!
Vector Space
Vector space is a set of “vectors” with a notion of Addition such that:
- V is closed under addition
- V is commutative
- V is associative
- For every A there is a zero vector such that [V+0=V]
- For all Vectors in V there is a -V such that (-V)+V=0
And of a Scalar Multiplication such that:
- V is closed under Scalar Multiplication
- For All r,s are a set of real numbers and V is a Vector then (r+s)V= rV+sV
- r is a set of real numbers and V, W are vectors, r(V+W)= rV+rW
- r,s are a set of real numbers and V is a vector, (rs)V=r(sV)
- 1*V=V
Proofs:
- Two vector after adding are still a vector, the commute a because they have same number of column array.
- The order of adding the vectors doesn’t affect the result
- (V+W)+U=V+(W+U) the parenthesis doesn’t affect the result
