GCSE Computer Science 9-1 - Data Representation - Topic Tests

Sep 5, 2026

GCSE Computer Science (9-1) Data Representation Topic Tests provide photocopiable assessment questions focused on how digital data is measured, converted, and represented. Learners order storage units by size, convert between kilobytes, bytes, bits, and file sizes, and translate values between denary, binary, and hexadecimal systems. The tests also cover adding 8-bit integers with overflow errors, interpreting ASCII and extended ASCII, explaining Unicode and check digits, and applying pixel colour depth concepts and metadata examples.

LanguageEnglish

CategoryExam

FormatPDF

Pages15

Reading Time38 min

AccessFree to download

Topic Test - Data Representation

Questions

1. Data size units and binary conversions

2. Binary processing need

3. Denary to binary and back

4. Binary addition and overflow

5. Denary to hex and hex to denary

6. Binary to hex and hex to binary

7. Check digit

8. ASCII, extended ASCII, Unicode

9. Pixels and colour depth

10. Photo metadata

11. Data transmission and equipment questions

GCSE Computer Science (9-1) Data Representation Topic Tests Photocopiable Resources Terms and Conditions of Use Your school has permission to copy this resource as many times as you require and to use it as you wish within your school/organisation. You do not have permission to distribute it as a paper or electronic document to other schools or organisations. Any questions? Email: [edulitolearn@gmail.com](edulitolearn@gmail.com) © 2016 Edulito and its licensors. All rights reserved. Topic Test-Data Representation 1(a) Place the following terms in order according to size with the smallest at the top of the table. [2] Kilobyte, terabyte, nibble, petabyte, byte, gigabyte, megabyte, bit | | | --- | | | | | | | | | | | | | | | 1(b) (i) Using the binary system, how many bytes are there in a Kilobyte? [1] 1(b) (ii) Using the binary system, how many bits are there in a Kilobyte? [1] 1(c) Based on the binary system, convert the following values that represent file sizes into bits and show your working. [6] (i) 8 kB ……………………………………………………………………………………………………………………………………………… (ii) 290 kB ……………………………………………………………………………………………………………………………………………… (iii) 3 MB 2 Why does data need to be converted into binary format to be processed by a computer?[2] ……………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………… | 3 (a) Convert the following denary whole numbers into 8 bit binary numbers. [4](i) 10 | | --- | | (ii) 27 | | (iii) 100 | | (iv) 232 | | 3(b) Convert the following binary numbers into denary whole numbers. [4](i) 00101010 | | (ii) 00001000 | (iii) 10010011 | (iv) 10111100 | | --- | | 4(a) Add the following 8 bit binary integers. [4]
(i) 00001010 00001000 | | (ii) 01001001 00110011 | | (iii) 00010011 00000111 | | (iv) 10111100 +10000001 | | 4(b) Using a suitable example explain overflow errors. [2] | ……………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………… 5 (a) Convert the following denary whole numbers into two digit hexadecimals and show your working. [8] (i) 111 ……………………………………………………………………………………………………………………………………………… (ii) 108 ……………………………………………………………………………………………………………………………………………… (iii) 129 (iv) 244 5 (b) Convert the following two digit hexadecimals into denary whole numbers and show your working. [8] (i) 8A (ii) 62 (iii) F1 ……………………………………………………………………………………………………………………………………………… (iv) 9A ……………………………………………………………………………………………………………………………………………… 6 (a) Convert the following binary numbers into two digit hexadecimals and show your working. [8] (i) 01010101 (ii) 10001111 (iii) 00011110 (iv) 11111110 6 (b) Convert the following two digit hexadecimals into binary numbers and show your working. [8] (i) 6B ……………………………………………………………………………………………………………………………………………… (ii) 89 ……………………………………………………………………………………………………………………………………………… (iii) BB (iv) 1D 7 Explain, using an example, the meaning of the term“check digit”. [2] ……………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………… 8 (a) What is the ASCII character set and how is it used? [2] | | | --- | | | 8(b) What is the advantage of using extended ASCII? [1] ……………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………… 8(c) What is the Unicode character set and why is it used? [2] ……………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………… 9(a) What is a pixel? [1] | 9(b) If one bit is used for each pixel in an image, how many colours can be represented in the image? [1] | | --- | | 9(c) If one nibble is used for each pixel in an image, how many colours can be represented in the image? [1] | 9(d) A HD TV has a 3

FAQs

How do you convert kilobytes to bytes and bits using the binary system?

Use binary-based unit relationships to determine how many bytes are in a kilobyte, then convert again to the number of bits. The test asks for both values explicitly for a Kilobyte.

What do overflow errors mean when adding 8-bit binary integers?

Overflow errors occur when the result of an addition cannot be represented within the fixed 8-bit limit. The test requires a suitable example and explanation.

How are ASCII, extended ASCII, and Unicode used in representing characters?

The test asks what the ASCII character set is and how it is used, the advantage of extended ASCII, and what Unicode is and why it is used, linking character representation to broader encoding support.

Sep 5, 2026

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