Here is a document explaining the algorithms for addition, subtraction, and multiplication in computer architecture:

Title: Algorithms for Addition, Subtraction, and Multiplication in Computer Architecture

1. Introduction
- Brief explanation of the importance of addition, subtraction, and multiplication algorithms in computer architecture.
- Overview of the document contents.

2. Addition Algorithm
- Description of the basic addition algorithm.
- Step-by-step explanation of how the algorithm works.
- Discussion on carry propagation and handling overflow.
- Example illustrating the addition algorithm in action.
- Complexity analysis and performance considerations.

3. Subtraction Algorithm
- Description of the basic subtraction algorithm.
- Step-by-step explanation of how the algorithm works.
- Discussion on borrow propagation and handling underflow.
- Example illustrating the subtraction algorithm in action.
- Complexity analysis and performance considerations.

4. Multiplication Algorithm
- Description of the basic multiplication algorithm.
- Step-by-step explanation of how the algorithm works (e.g., using long multiplication).
- Discussion on optimizing the algorithm for efficiency.
- Example illustrating the multiplication algorithm in action.
- Complexity analysis and performance considerations.

5. Advanced Addition and Subtraction Algorithms
- Introduction to more advanced algorithms for addition and subtraction, such as Karatsuba algorithm or Barrett reduction.
- Brief explanation of how these algorithms improve performance.
- Discussion on their implementation challenges and trade-offs.

6. Advanced Multiplication Algorithms
- Introduction to more advanced algorithms for multiplication, such as Karatsuba algorithm or Fast Fourier Transform (FFT)-based algorithms.
- Brief explanation of how these algorithms improve performance.
- Discussion on their implementation challenges and trade-offs.

7. Conclusion
- Summary of the main points discussed in the document.
- Importance of understanding and implementing efficient addition, subtraction, and multiplication algorithms in computer architecture.
- Suggestions for further reading and exploration.

Note: This document provides a general overview of the algorithms used for addition, subtraction, and multiplication in computer architecture. For more detailed explanations and specific implementations, additional resources and further study may be required.