Representing and manipulating data in computers

The course teaches students how to represent and manipulate data in computers. By the end of the course, learners will be able to represent various types of data such as numbers, fractions, images, text, and sound in digital devices. They will also learn binary arithmetic, logic operations, and input/output considerations. The teaching method includes theoretical explanations, practical examples using kitchen scales, digital cameras, and PCs, as well as exercises on binary arithmetic and logic operations. This course is intended for individuals interested in understanding the fundamental principles of data representation and manipulation in computers.

• Introduction
• Learning outcomes
• 1 Representing data in computers: introduction
• 1 Representing data in computers: introduction
• 2 Representing data in the kitchen scales
• 2 Representing data in the kitchen scales
• 2.1 Introduction
• 2.2 Representing numbers: positive integers
• 2.2.1 Positive integers: denary numbers
• 2.2.2 Positive integers: binary numbers
• 2.2.3 Positive integers: converting denary numbers to binary
• 2.2.4 Positive integers: encoding larger integers
• 2.3 Representing numbers: fractions
• 2.4 Representing numbers: negative integers
• 2.5 Representing weights
• 2.6 Representing true/false quantities
• 2.7 Input and output considerations
• 3 Representing data in the digital camera
• 3 Representing data in the digital camera
• 3.1 Introduction
• 3.2 Representing still images
• 3.3 Compression
• 3.4 Input and output considerations
• 4 Representing data in the PC
• 4 Representing data in the PC
• 4.1 Introduction
• 4.2 Representing text
• 4.3 Representing moving images
• 4.4 Representing sound
• 4.5 Input and output considerations
• 5 Representing data in computers: conclusion
• 5 Representing data in computers: conclusion
• 6 Manipulating data in computers: introduction
• 6 Manipulating data in computers: introduction
• 7 Binary arithmetic
• 7 Binary arithmetic
• 7.1 Adding unsigned integers
• 7.2 Adding 2's complement integers
• 7.3 Subtracting 2's complement integers
• 7.3.1 Finding the 2's complement
• 7.3.2 Subtraction
• 7.4 Multiplying 2's complement integers
• 7.5 Dividing 2's complement integers
• 7.6 Arithmetic with binary fractions
• 8 Logic operations
• 8 Logic operations
• 8.1 Introduction
• 8.2 The NOT operation
• 8.3 The AND operation
• 8.4 The OR operation
• 8.5 The exclusive-OR operation
• 8.6 Summary
• 9 Conclusion
• 9 Conclusion
• Acknowledgements