Binary Numbers in Digital Systems
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Ever wondered how data is represented in digital systems? You've heard about the 0 and the 1. You've heard about the base 2 system. As part of the curriculum, students need to learn about technology. This resource is an introduction to the binary system. The activities have been set out to build on the student knowledge step-by-step and allow them to understand how the base 2 binary system works as compared to the base 10 system they are used to. This deals with how the binary system represents numbers using 1s and 0s.
INCLUDES:
AUSTRALIAN CURRICULUM
Digital Technologies
Digital Technologies Knowledge and Understanding
Year 5/6
Examine how whole numbers are used to represent all data in digital systems (ACTDIK015)
Elaborations
recognising that digital systems represent all types of data using number codes that ultimately are patterns of 1s and 0s (called binary digits, which is why they are called digital systems)
explaining that binary represents numbers using 1s and 0s and these represent the on and off electrical states respectively in hardware and robotics
recognising that the numbers 0, 1, 2 and 3 could be represented by the patterns of two binary digits of 00, 01, 10 and 11
representing whole numbers in binary, for example, counting in binary from zero to 15, or writing a friend’s age in binary
INCLUDES:
- Background information for teachers on the Base 10 vs the Base 2 Binary system.
- 2 whole class activities to teach students about binary representing numbers using 1s and 0s and how to write numbers in binary.
- 1 partner activity to build on knowledge
- 1 worksheet for students
- 1 poster for the classroom displaying base 10 and binary numbers to 16.
AUSTRALIAN CURRICULUM
Digital Technologies
Digital Technologies Knowledge and Understanding
Year 5/6
Examine how whole numbers are used to represent all data in digital systems (ACTDIK015)
Elaborations
recognising that digital systems represent all types of data using number codes that ultimately are patterns of 1s and 0s (called binary digits, which is why they are called digital systems)
explaining that binary represents numbers using 1s and 0s and these represent the on and off electrical states respectively in hardware and robotics
recognising that the numbers 0, 1, 2 and 3 could be represented by the patterns of two binary digits of 00, 01, 10 and 11
representing whole numbers in binary, for example, counting in binary from zero to 15, or writing a friend’s age in binary