3. Digital Arithmetic - Part A
This chapter covers the basic rules of data manipulation, specifically focusing on binary addition and subtraction. It introduces essential principles such as the binary number system operations, including their fundamental rules and methods to perform these operations on larger binary numbers using techniques like 2's complement. The concepts of binary arithmetic are presented systematically with examples and explanations to enhance understanding.
Sections
Navigate through the learning materials and practice exercises.
What we have learnt
- Binary addition follows specific rules similar to decimal addition but adapted for the binary system, including carry bits.
- Binary subtraction can also be performed using basic rules, alongside the technique of borrowing from adjacent significant bits.
- The 2's complement method is critical in computers for representing and performing arithmetic operations on both positive and negative binary numbers.
Key Concepts
- -- Binary Addition
- The process of adding two binary numbers following specific rules that determine the sum and any carry.
- -- Binary Subtraction
- The process of subtracting one binary number from another, which sometimes requires borrowing from higher significant bits.
- -- 2's Complement
- A mathematical technique used to represent negative binary numbers and perform binary addition and subtraction conveniently.
- -- Carry in Binary Arithmetic
- A bit that is carried over to the next column in binary addition when the sum exceeds the capacity of that column.
Additional Learning Materials
Supplementary resources to enhance your learning experience.