← Years 5–6 Digital Systems

Data as binary

A number system using only 0s and 1s (bits). Digital systems use binary, as on/off signals, to represent all data: text, images, sound and video. 8 bits make 1 byte.

Part of: 5-6 Digital Technologies Vic Curric - Digital Systems & Security — Module 20, 7-8 Digital Technologies Vic Curric - Digital Systems and Security — Module 21, IGCSE Computer Science 0478 — 1.1 Number Systems — Module 1, IGCSE Computer Science 0478 — 1.2 Text, Sound and Images — Module 1

Understanding Data as binary in Years 5–6 Digital Systems

What it does: A single 0 or 1 is one bit, the smallest unit of data in a digital system. This shows the relationship between bits and bytes, which is how binary data is measured. Binary is a number system with just two digits, 0 and 1. Each one is called a bit. A byte is a group of 8 bits. For example, 01000001 is one byte. Digital hardware uses on/off signals. 1 means on and 0 means off. All types of data can be turned into 0s and 1s, not just numbers. Because any data can be written as a pattern of bits, computers only need to handle on/off signals.

Common mistakes: A byte is made of 8 bits, not 4. The line should be bits_in_byte = 8. 1 byte is always 8 bits, not 10. The line should be bits_per_byte = 8.

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Free printable worksheet with full answer key — or add this module to a class and your students practise it interactively.

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This module's key terms are also in a printable crossword (Modules 11–20) and word search (Modules 1–20).

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Learning

Duo

Which digits does binary use to represent data?

Digits 0 to 9Only 0 and 1

Matches

Binary uses the digits 0 to 9

↓

Binary only uses two digits, 0 and 1. The digits 0 to 9 are used in the decimal system, not binary.

Applying

Meanings

Term

binary

Meaning

A number system using only 0s and 1s (bits). Digital systems use binary, as on/off signals, to represent all data: text, images, sound and video. 8 bits make 1 byte.

Practice

Binary uses only 0 and 1

Testing

Gaps

1 byte = bits

Check Answer

Spots

3bits_in_byte = 8

4bits_in_byte = 4

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Quick Questions

1. Which digits does binary use to represent data?

A. Only 0 and 1 ✓

B. Digits 0 to 9

Binary is a number system with just two digits, 0 and 1. Each one is called a bit.

2. How many bits make 1 byte?

A. 2 bits

B. 8 bits ✓

A byte is a group of 8 bits. For example, 01000001 is one byte.

3. How does a digital system's hardware treat the binary digits 1 and 0?

A. As on and off electrical signals ✓

B. As the letters A and B

Digital hardware uses on/off signals. 1 means on and 0 means off.

4. Which kinds of data can a digital system store as binary?

A. Text, images, sound and video ✓

B. Only numbers

All types of data can be turned into 0s and 1s, not just numbers.

5. Why can one format (binary) be used for every data type?

A. Each data type needs its own special digits

B. Any data can be turned into patterns of 0s and 1s ✓

Because any data can be written as a pattern of bits, computers only need to handle on/off signals.

Match the Pairs

01001000 → One byte: 8 bits, each a 0 or 1, which a digital system can use to store a single piece of data

1 = on, 0 = off → Binary digits stand for the two electrical signals a digital system can use

A bit is a single binary digit, which can only be a 0 or a 1 → 1

8 bits grouped together make 1 byte → 1 byte = 8 bits

Binary uses the digits 0 to 9 → Binary only uses two digits, 0 and 1. The digits 0 to 9 are used in the decimal system, not binary.

Computers use binary only for numbers, not for pictures or sound → Digital systems use binary for ALL data, including text, images, sound and video. One format works for every data type.

Key Term

binary

A number system using only 0s and 1s (bits). Digital systems use binary, as on/off signals, to represent all data: text, images, sound and video. 8 bits make 1 byte.

Fill in the Blanks

1. 1 byte = 8 bits

Hint: Type the number of bits that make up one byte.

2. on signal = 1, off signal = 0

Hint: Type the digit that stands for the off signal.

3. Digital systems store all data as binary

Hint: Type the name of the number system that uses only two digits.

4. print(bin(5)) # shows 0b101

Hint: Type the Python function that converts a number to binary.

5. one bit is a single 0 or 1

Hint: Type the term for a single binary digit.

Spot the Error

Question 1

A bit_on = 1

B bit_off = 0

C bits_in_byte = 8

D bits_in_byte = 4

Line D — A byte is made of 8 bits, not 4. The line should be bits_in_byte = 8.

Question 2

A bytes = 2

B bits_per_byte = 10

C total = bytes * bits_per_byte

D print(total)

Line B — 1 byte is always 8 bits, not 10. The line should be bits_per_byte = 8.

Question 3

A storage = 'decimal'

B photo = '10110010'

C song = '01101101'

D print(storage)

Line A — Digital systems store all data, including images and sound, as binary (0s and 1s), not decimal. It should be storage = 'binary'.

Question 4

A types = ['text', 'image']

B types.append('sound')

C all_binary = False

D print(types, all_binary)

Line C — Every type of data (text, images, sound) is represented in binary, so all_binary should be True.

Question 5

A bits = '1011'

B for b in bits:

C if b in '012':

D print('valid bit')

Line C — Binary only uses the digits 0 and 1, so 2 is not a valid bit. The check should be if b in '01':.

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