← ACARA Digital Technologies Years 7–8

Number of volume levels from sample resolution

A sample resolution of n bits gives 2^n volume levels, so each extra bit doubles the levels. 8 bits give 256 levels and 16 bits give 65,536. Fewer levels means more rounding.

Part of: ACARA Digital Technologies Years 7–8 — Representing Text, Images and Sound — Module 54

Understanding Number of volume levels from sample resolution in ACARA Digital Technologies Years 7–8

What it does: Going from 8 bits to 16 bits doubles the levels 8 times (256 x 256), giving 65,536 volume levels. One bit is either 0 or 1, so there are only 2 levels. Every volume measurement must be rounded to one of them. 2^8 = 256. The number of bits (8) is not the same as the number of levels. 16 bits give 65,536 levels compared with 256 for 8 bits. More levels means less rounding, so the sound is closer to the original.

Common mistakes: The program should print the number of levels (2), not the number of bits. It should be print("Levels:", levels). 65,536 is the number of levels, not the number of bits. A 16-bit sample resolution should be bits = 16.

Class: _____________________ · Name: _____________________ · Date: _________

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

🖨 Print worksheet + answer key Add Number of volume levels from sample resolution to a class →

This module's key terms are also in a printable crossword (Modules 153–172) and word search (Modules 153–188).

Take this worksheet further — free with Cloodit

Each concept is reinforced from every angle — learned, then applied, then tested.

Learning

Duo

How many volume levels can a 1-bit sample have?

2 levels1 level

Matches

levels = 2 x 8 = 16 levels for 8 bits

↓

The levels were found by multiplying 2 by the number of bits. The correct way is 2^8, which is 2 multiplied by itself 8 times, giving 256 levels.

Applying

Meanings

Term

levels = 2^n

Meaning

A sample resolution of n bits gives 2^n volume levels, so each extra bit doubles the levels. 8 bits give 256 levels and 16 bits give 65,536. Fewer levels means more rounding.

Practice

bits ← 8

Testing

Gaps

levels = 2^

Check Answer

Spots

2levels = 2 ** bits

3print("Levels:", bits)

Cloodit turns curriculum-aligned coding content into journeys students work through one biome at a time.

Students earn collectable badges

Over 100 of them, across seven natural biomes.

Study Buddy

Students build a real study resource

Turns their work into revision material ready for Flash Cards and Exam study.

Diamond Dash — one of Cloodit's live, competitive Sprint games

Students lock in with Sprints

Live, competitive practice for the start of the lesson or a teacher-led lesson finisher.

A Cloodit certificate of achievement, ready to personalise and print

Custom printable certificates

Honour your top performers, or encourage a student who's trying hard — ready to print in seconds.

Add to class →

Quick Questions

1. How many volume levels can a 1-bit sample have?

A. 1 level

B. 2 levels ✓

One bit is either 0 or 1, so a 1-bit sample can only take 2 volume levels (2^1 = 2).

2. What happens to the number of volume levels each time you add one more bit of sample resolution?

A. It goes up by 1

B. It doubles ✓

Each extra bit doubles the levels because the number of levels is 2^n. For example, 3 bits give 8 levels and 4 bits give 16.

3. Which formula gives the number of volume levels for n bits?

A. 2^n ✓

B. n x 2

Levels = 2^n means 2 multiplied by itself n times. It is not n times 2. For 8 bits, 2^8 = 256, but 8 x 2 would only be 16.

4. How many volume levels does an 8-bit sample have?

A. 256 levels ✓

B. 8 levels

2^8 = 256. The number of bits (8) is not the same as the number of levels.

5. How many volume levels does a 16-bit sample (the CD standard) have?

A. 65,536 levels ✓

B. 512 levels

2^16 = 65,536. Doubling 8 bits' 256 levels eight more times gives 65,536. 512 is only 2^9.

Match the Pairs

levels = 2^n → The number of volume levels equals 2 multiplied by itself n times, where n is the sample resolution in bits

2^8 = 256 → An 8-bit sample can be stored as any one of 256 different volume levels

Each extra bit doubles the number of volume levels, so 16 bits give far more levels than 8 bits → 2^16 = 65536

A sample resolution of 1 bit can only store two volume levels, like off and on → 2^1 = 2

levels = 2 x 8 = 16 levels for 8 bits → The levels were found by multiplying 2 by the number of bits. The correct way is 2^8, which is 2 multiplied by itself 8 times, giving 256 levels.

With more levels, each sample is rounded more roughly → This is backwards. Fewer levels means each volume is rounded to a more distant level. More levels means rounding to a closer level and a more accurate sound.

Key Term

levels = 2^n

A sample resolution of n bits gives 2^n volume levels, so each extra bit doubles the levels. 8 bits give 256 levels and 16 bits give 65,536. Fewer levels means more rounding.

Fill in the Blanks

1. levels = 2^n

Hint: Type the variable that stands for the sample resolution in bits, the power that 2 is raised to.

2. 1 bit: levels = 2^1 = 2

Hint: Type how many volume levels one bit can give, since a bit has two states.

3. 8 bits: levels = 2^8 = 256

Hint: Type the number of bits (the exponent) that gives 256 volume levels.

4. 16 bits: levels = 2^16 = 65536

Hint: Type the number of bits (the exponent) that gives 65,536 volume levels.

5. stored = round(volume)

Hint: Type the function name that moves a volume to the nearest available level when there are few levels.

Spot the Error

Question 1

A bits = 1

B levels = 2 ** bits

C print("Levels:", bits)

Line C — The program should print the number of levels (2), not the number of bits. It should be print("Levels:", levels).

Question 2

A bits = 65536

B levels = 2 ** bits

C print(levels)

Line A — 65,536 is the number of levels, not the number of bits. A 16-bit sample resolution should be bits = 16.

Question 3

A levels = 2 * 8

B print(levels)

C print("That is 256 levels")

Line A — Levels are 2 to the power of the bits, so 8 bits need 2 ** 8 = 256. Multiplying gives only 16.

Question 4

A bits = 3

B levels = bits ** 2

C print(levels)

Line B — The base must be 2 and the exponent must be the bits. bits ** 2 gives 9, but 2 ** bits gives the correct 8 levels.

Question 5

A SET bits TO 8

B SET levels TO bits * 2

C DISPLAY levels

Line B — Each extra bit doubles the levels, so levels = 2 ^ bits. Multiplying bits by 2 gives 16, not 256.

Student with a class code? Join your class →