Number Systems and Digital Representation
Ages 16–18Difficulty adapts to you
Number Systems and Digital Representation
Binary uses powers of 2 and hexadecimal uses powers of 16. Convert by expanding place values or repeated division. Digital devices store text, images, sound, and numbers using coded representations with finite precision.
Your goals
- ✓You can understand binary, hexadecimal, place value, storage, and how digital systems represent information.
- ✓You can use Number Systems and Digital Representation, model correctly.
- ✓You can use the definitions, units, assumptions, and examples to check your answer.
Words to know
- Number Systems and Digital Representation:
- Understand binary, hexadecimal, place value, storage, and how digital systems represent information.
- model:
- A rule or representation used to describe a situation and make a prediction.
Examples
- 11011₂ = 8 + 2 + 1 = 11₁₀.
- 2FF₁₆ = 15×16 + 15 = 255₁₀.
Check these
- • Do not skip the meaning of a term or give a result without explaining what it means.
- • Keep every number, symbol, label, and unit in its correct place.
- • Show enough working to check how you reached your answer.
Helpful habits
- • Read the whole question before choosing what to do.
- • Show one clear step at a time and check each step.
- • If you are stuck, draw a model, try smaller numbers, or revisit the example.
Now try your own
Create your own number systems and digital representation example, solve it, and explain how you checked it.
Spark
Creativity & Innovation“Maths is everywhere — in music, art, and nature!”