
Explore the syllabus and content overview of the Cambridge IGCSE/O computer science course, with theory and practical examples to build a solid grasp, plus tutoring options on cs.com.
Explore the Cambridge GCSE computer science number systems syllabus with in-depth explanations, introductory insights, and resources, guiding you through the sub topic in paper one.
Explore how computers use binary, zeros and ones, to represent numbers, colors, and all data with a simple, fast on/off system.
Explore the decimal (denary), binary, and hexadecimal number systems, including digits 0-9 and A-F, and why computers use binary.
Convert binary to decimal by starting at the least significant bit, indexing from zero, and summing powers of two. Convert hexadecimal to decimal using base 16, mapping a–f to 10–15.
Learn to convert decimal numbers to binary and hexadecimal, and hex to binary, using division by two and by sixteen with quotients and remainders, and apply four-bit hex digits.
Explore how hexadecimal makes data representation more human friendly by bridging binary and human understanding, showing its use for memory addresses and color codes and why it is more readable.
Explore how to add two eight-bit binary numbers, using the carry concept and binary addition rules, with step-by-step examples like 7 plus 5 and 1010 plus 1111.
Explain overflow errors in binary arithmetic using an eight-bit register, showing how results exceeding capacity cause overflow and how 16-bit and 32-bit limits define maximum values.
Understand how a logical binary left shift moves bits left and appends zeros on the right, multiplying the number by two to the power of the shift count.
Explore the logical binary right shift operation, showing how shifting bits right by B divides a number by 2^B and rounds down, with practical examples such as 179 and 6.
Master two's complement and eight-bit integer representations, converting decimals to binary, inverting bits, and adding one to represent negatives, with the most significant bit indicating sign.
Learn how to convert a positive denary integer to an eight-bit two's complement and how to recover a positive decimal from a two's complement by binary-to-decimal conversion.
Convert a negative integer to two's complement by converting to binary, inverting the bits, and adding one, as demonstrated with -25.
This Course is meant for students of:
Cambridge IGCSE - Computer Science - 0478
Cambridge IGCSE - Computer Science (9-1) - 0984
Cambridge O Level - Computer Science - 2210
But, Additionally it can also be taken by students of:
Cambridge International AS & A Level - Computer Science - 9618
AP Computer Science A Level Students
AP Computer Science Principles Students
IB Diploma: CS Students
CBSE/ICSE Board Students.
In This Course we exclusively focus on the essential topic of Number Systems, which forms a significant part of Paper 1 in the IGCSE/O level Computer Science syllabus. This course offers an in-depth exploration of Number Systems, providing a solid foundation in this fundamental concept.
We start with a thorough examination of Number Systems, including binary, decimal, and hexadecimal systems. Students will delve into the intricacies of how computers use these systems to represent data and perform various operations.
Our course ensures a comprehensive understanding of Number Systems, allowing students to grasp their significance in the context of computer science and technology. We provide detailed explanations, examples, and practical exercises to reinforce learning.
By the end of this course, students will have a strong grasp of Number Systems, which is a critical component of Paper 1 in the Cambridge IGCSE Computer Science examination. Whether you are aiming for grades 9 in IGCSE or planning to pursue further studies, this course will equip you with the knowledge and skills you need to excel in this specific area of computer science.
Please note that this course is tailored specifically for Number Systems and is suitable for students taking Cambridge IGCSE, Cambridge IGCSE (9–1), and Cambridge O Level courses. We wish you success in your journey to mastering Number Systems in IGCSE Computer Science.