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
Converting binary to decimal
- 3 things to know
- AS Unit 2
Overview
Reading the place values of an eight-bit pattern and adding those that are set, with worked conversions, the effect of adding a 0 to the right, and checking an answer by converting it back.
What you need to know
Answer each one before you reveal it.
Convert 10110101 to denary.
What is 01011010 in denary?
Questions from this subtopic
Each one with the model answer underneath.
- 1
Describe how to convert an 8-bit binary number to denary.
Model answer
The place values 128, 64, 32, 16, 8, 4, 2 and 1 are written above the eight bits, and the place values standing above a 1 are added together.
- 2
Convert 10110101 to denary.
Model answer
The pattern 10110101 is 181, because 128 plus 32 plus 16 plus 4 plus 1 comes to 181.
- 3
What is 01011010 in denary?
Model answer
The pattern 01011010 is 90, because 64 plus 16 plus 8 plus 2 comes to 90.
- 4
Convert 11110000 to denary.
Model answer
The pattern 11110000 is 240, because 128 plus 64 plus 32 plus 16 comes to 240.
- 5
What is 00111001 in denary?
Model answer
The pattern 00111001 is 57, because 32 plus 16 plus 8 plus 1 comes to 57.
- 6
Convert 11001100 to denary.
Model answer
The pattern 11001100 is 204, because 128 plus 64 plus 8 plus 4 comes to 204.
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