1.2.15
Number Bases
Binary
Binary
In everyday life, we use the denary number system. Computers use binary instead.
Denary
Denary
- In everyday life, we use a denary number system.
- We use 10 symbols to represent each digit.
- Each digit's place value is multiplied by 10 as we move from right to left.
Binary
Binary
- Binary is an identical system, except using two symbols for each digit.
- Only 1 and 0 are used in binary.
- Each digit's place value is multiplied by two as we move from right to left.
Hexadecimal
Hexadecimal
- Hexadecimal uses 16 different symbols for each place.
- Hexadecimal uses the digits 0-9 then A-F:
- A = 10 in denary, B = 11 ...
- Each digit's place value is multiplied by 16 as we move from right to left.
Converting Binary and Hexadecimal
Converting Binary and Hexadecimal
Both binary and hexadecimal can be used to represent the same number, so it's important to be able to convert between them.
Binary to hexadecimal
Binary to hexadecimal
- Binary can be converted to hexadecimal by grouping into groups of 4 bits:
- Start grouping from the right-hand side.
- Convert each 4 bit group separately.
Hexadecimal to binary
Hexadecimal to binary
- Hexadecimal can be converted to binary by splitting each digit into 4 bits:
- Separately convert each hexadecimal digit into 4 bits of binary.
- Put all of the 4 bit groups together.
Converting Denary and Hexadecimal
Converting Denary and Hexadecimal
Both denary and hexadecimal can be used to represent the same number, so it's important to be able to convert between them.
Denary to hexadecimal
Denary to hexadecimal
- The easiest method to convert denary numbers to hexadecimal is to first convert the denary to binary, and then use the binary to hexadecimal conversion algorithm.
Hexadecimal to denary
Hexadecimal to denary
- To convert from hexadecimal to denary, you should:
- Write out the powers of 16 above each hexadecimal digit.
- For each place column, multiply the hexadecimal digit by the power of 16 above it.
- Add together all of these results.
1Computer Systems
1.1Systems Architecture
1.2Memory & Storage
1.2.1Types of Memory
1.2.2Flash Memory
1.2.3Virtual Memory
1.2.4Exam-Style Questions - Primary Memory
1.2.5Capacity
1.2.6Solid State Storage
1.2.7Magnetic Storage
1.2.8Examples of Magnetic Storage
1.2.9Optical Storage & its Properties
1.2.10Examples of Optical Storage
1.2.11End of Topic Test - Computer Systems
1.2.12Grade 9 - Storage
1.2.13Exam-Style Questions - Storage
1.2.14Units of Information
1.2.15Number Bases
1.2.16Converting Number Bases
1.2.17Hexadecimal
1.2.18Binary Arithmetic
1.2.19Representing Text
1.2.20ASCII & Unicode
1.2.21Representing Images
1.2.22Representing Sound
1.2.23Data Compression
1.2.24End of Topic Test - Representation
1.2.25Exam-Style Questions -Data Conversions
1.3Computer Networks, Connections & Protocols
1.3.1Benefit of Networks
1.3.2Network Performance
1.3.3Networks: How Do Packets Get Routed?
1.3.4Types of Networks
1.3.5Client-Server Model
1.3.6Pros & Cons of Client-Server Model
1.3.7Peer-to-Peer Model
1.3.8Pros & Cons of Peer-to-Peer Model
1.3.9Network Hardware
1.3.10What is the Internet?
1.3.11URLs
1.3.12DNS & Web Hosting
1.3.13The Cloud
1.3.14Pros & Cons of the Cloud
1.3.15Exam-Style Questions - Networking Models
1.3.16Topology
1.3.17WiFi
1.3.18WiFi Encryption
1.3.19IP Addresses
1.3.20MAC Addresses
1.3.21Network Protocols
1.3.22Application Protocols
1.3.23Layers
1.3.24Advantages of Layering
1.3.25Exam-Style Questions - Network Protocols
1.4Network Security
1.5Systems Software
1.6Ethical, Legal, Cultural & Environmental Concern
1.6.1Open Source vs Proprietary Software
1.6.2Licensing Issues
1.6.3Ethical Issues
1.6.4Ethical Issues 2
1.6.5Exam-Style Questions - Ethical Issues
1.6.6Legal Issues
1.6.7Legal Issues 2
1.6.8Freedom of Information Act (2000)
1.6.9Cultural Issues
1.6.10Environmental Issues
1.6.11Positive Environmental Impact
1.6.12Privacy Issues
1.6.13Stakeholders
1.6.14End of Topic Test - Software & Issues
2Computational Thinking, Algorithms and Programming
2.1Algorithms
2.1.1Computational Thinking
2.1.2Algorithmic Thinking
2.1.3Pseudocode & Flow Diagrams
2.1.4Interpreting & Correcting Algorithm
2.1.5Completing Algorithms
2.1.6Search Algorithms
2.1.7Binary Search
2.1.8Overview of Sort Algorithms
2.1.9Bubble Sort & Insertion Sort
2.1.10Merge Sort
2.1.11Exam-Style Questions - Sorting Algorithms
2.2Programming Fundamentals
2.3Producing Robust Programs
2.4Boolean Logic
Jump to other topics
1Computer Systems
1.1Systems Architecture
1.2Memory & Storage
1.2.1Types of Memory
1.2.2Flash Memory
1.2.3Virtual Memory
1.2.4Exam-Style Questions - Primary Memory
1.2.5Capacity
1.2.6Solid State Storage
1.2.7Magnetic Storage
1.2.8Examples of Magnetic Storage
1.2.9Optical Storage & its Properties
1.2.10Examples of Optical Storage
1.2.11End of Topic Test - Computer Systems
1.2.12Grade 9 - Storage
1.2.13Exam-Style Questions - Storage
1.2.14Units of Information
1.2.15Number Bases
1.2.16Converting Number Bases
1.2.17Hexadecimal
1.2.18Binary Arithmetic
1.2.19Representing Text
1.2.20ASCII & Unicode
1.2.21Representing Images
1.2.22Representing Sound
1.2.23Data Compression
1.2.24End of Topic Test - Representation
1.2.25Exam-Style Questions -Data Conversions
1.3Computer Networks, Connections & Protocols
1.3.1Benefit of Networks
1.3.2Network Performance
1.3.3Networks: How Do Packets Get Routed?
1.3.4Types of Networks
1.3.5Client-Server Model
1.3.6Pros & Cons of Client-Server Model
1.3.7Peer-to-Peer Model
1.3.8Pros & Cons of Peer-to-Peer Model
1.3.9Network Hardware
1.3.10What is the Internet?
1.3.11URLs
1.3.12DNS & Web Hosting
1.3.13The Cloud
1.3.14Pros & Cons of the Cloud
1.3.15Exam-Style Questions - Networking Models
1.3.16Topology
1.3.17WiFi
1.3.18WiFi Encryption
1.3.19IP Addresses
1.3.20MAC Addresses
1.3.21Network Protocols
1.3.22Application Protocols
1.3.23Layers
1.3.24Advantages of Layering
1.3.25Exam-Style Questions - Network Protocols
1.4Network Security
1.5Systems Software
1.6Ethical, Legal, Cultural & Environmental Concern
1.6.1Open Source vs Proprietary Software
1.6.2Licensing Issues
1.6.3Ethical Issues
1.6.4Ethical Issues 2
1.6.5Exam-Style Questions - Ethical Issues
1.6.6Legal Issues
1.6.7Legal Issues 2
1.6.8Freedom of Information Act (2000)
1.6.9Cultural Issues
1.6.10Environmental Issues
1.6.11Positive Environmental Impact
1.6.12Privacy Issues
1.6.13Stakeholders
1.6.14End of Topic Test - Software & Issues
2Computational Thinking, Algorithms and Programming
2.1Algorithms
2.1.1Computational Thinking
2.1.2Algorithmic Thinking
2.1.3Pseudocode & Flow Diagrams
2.1.4Interpreting & Correcting Algorithm
2.1.5Completing Algorithms
2.1.6Search Algorithms
2.1.7Binary Search
2.1.8Overview of Sort Algorithms
2.1.9Bubble Sort & Insertion Sort
2.1.10Merge Sort
2.1.11Exam-Style Questions - Sorting Algorithms
2.2Programming Fundamentals
2.3Producing Robust Programs
2.4Boolean Logic
Unlock your full potential with GoStudent tutoring
Affordable 1:1 tutoring from the comfort of your home
Tutors are matched to your specific learning needs
30+ school subjects covered