CCEA A-Level Digital Technology 2650
Systems Analysis and Development Approaches
Design, Development and Testing
Implementation and System Security
Programming
Data, Information and Data Representation
Computer Architecture and Processing Systems
System Software, Application Software and the User Interface
Web Technology and Multimedia
Networks
Databases
Artificial Intelligence, Expert Systems and Robotics
Mobile Technology, Data Mining and Cloud Computing
Individual, Social and Legal Considerations
The Development Project: Analysis and Design
The Development Project: Build, Testing and Evaluation
Data, Information and Data Representation
How many values a given number of bits can hold
- 3 things to know
- AS Unit 2
Overview
Why n bits give two to the power of n patterns, working out how many bits a given number of categories needs, and the range a fixed number of bits can represent.
What you need to know
Answer each one before you reveal it.
How many different values can be represented with 2 bits?
How many different values can be represented with 3 bits?
Questions from this subtopic
Each one with the model answer underneath.
- 1
How many different values can be represented with 1 bit?
Model answer
One bit can represent 2 different values, 0 and 1.
- 2
How many different values can be represented with 2 bits?
Model answer
Two bits can represent 4 different values, written as 00, 01, 10 and 11.
- 3
How many different values can be represented with 3 bits?
Model answer
Three bits can represent 8 different values.
- 4
State the rule linking the number of bits to the number of values that can be represented.
Model answer
The number of different values is 2 raised to the power of the number of bits, so n bits give the result of multiplying two by itself n times.
- 5
How many different values can be represented with 8 bits?
Model answer
Eight bits can represent 256 different values.
- 6
If 8 bits are used for positive whole numbers starting at zero, what is the largest value that can be held?
Model answer
The largest value is 255, because the 256 available patterns run from 0 up to 255.
Other ways to work this
The same content, four other ways.
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