Starter quiz
- What does the term 'data' mean in computing?
- information after it has been processed
- instructions for completing a task
- raw facts, such as numbers or text, presented without meaning ✓
- the result of a calculation
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- What is a transistor?
- a type of binary digit
- a part of a number system
- a way to convert decimal numbers into binary
- a tiny electronic switch controlled by electricity ✓
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- In a binary system, if on is represented by 1, what represents off?
- '0' ✓
- Why do computers use binary to represent data?
- because binary is easy for humans to understand
- because binary can be represented by two-state electrical signals ✓
- because binary numbers are always smaller than decimal numbers
- because binary uses more digits than decimal
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- What is the highest-value digit in binary?
- '1' ✓
- Match the words to their correct description.
- data⇔raw facts, such as numbers or text, presented without any meaning ✓
- binary⇔a number system that uses the digits 0 and 1 to represent data ✓
- instructions⇔directions on how to carry out a specific task ✓
- transistor⇔a tiny electronic switch controlled by electricity ✓
Exit quiz
- What is the base of the binary number system?
- 2 ✓
- 10
- 1
- 5
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- What is a digit’s value based on its position in a number known as?
- 'place value' ✓
- What digits are used in decimal numbers?
- 1 and 0
- 0 to 9 ✓
- 0 to 10
- 1 to 9
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- What is the decimal value of the binary number 1101?
- '13' ✓
- What is the binary representation of the decimal number 10?
- '1010' ✓
- Match the term to the correct description.
- binary place values⇔128, 64, 32, 16, 8, 4, 2, 1 ✓
- decimal place values⇔10000, 1000, 100, 10, 1 ✓
- base-10⇔a number system with 0 to 9, where each place value is a power of ten ✓
- base-2⇔a number system with 0 and 1, where each place value is a power of two ✓
- decimal⇔a base-10 number system ✓
Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- Number systems use place value to represent the value of each digit in a number.
- The base of a number system refers to the range of values a digit can take.
- Decimal is a base-10 number system.
- Binary is a base-2 number system.
Common misconception
Pupils may think the place value for binary is the same as decimal in the fact each place value to the left is 10 times greater.
Binary place values double. So the first bit has the place value of 1 and the second has the place value of 2 and so on.
Keywords
Place value - a digit's value based on its position in a number
Base-10 - number system using digits 0-9, where each place value is a power of ten
Base-2 - number system using only the digits 0 and 1, where each place value is a power of two
Decimal - a base-10 numbering system
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