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Exam Paper Builder OCR GCSE Computer Science (J277)

Hexadecimal to Denary Conversion Exam Questions

12 OCR GCSE Computer Science (J277) exam-style questions on Hexadecimal to Denary Conversion (1.2 Memory & Storage), 24 marks in all. Answer them on paper or print them, then open the mark schemes and example answers to see how each is marked.

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Questions only (Word) Questions, then mark schemes (Word)
1Convert2 marks

Binary numbers can represent different forms of data.

Convert the hexadecimal number 8D into denary.

Show your working.

[2 marks]
Mark scheme

2 marks for the correct answer

  • 141

No marks for working on its own (e.g. multiplying by 16 (8 * 16 + 13), or converting to binary first (1000 1101)).

Example answers and how they were marked
Full marks2/2

8 = 8, D = 13

8 × 16 + 13 = 141

Why: The correct answer (2): the first digit times 16, plus the second.

No marks0/2

1000 1011 = 139

Why: Converting to binary first is a correct method, but D is converted wrongly, so the answer is wrong (0).

No marks0/2

8 + 13 = 21

Why: Adds the two digits instead of multiplying the first by 16, so neither mark (0).

2Convert2 marks

Computers store all data as binary.

Convert the hexadecimal number B7 into denary.

Show your working.

[2 marks]
Mark scheme

2 marks for the correct answer

  • 183

No marks for working on its own (e.g. multiplying by 16 (11 * 16 + 7), or converting to binary first (1011 0111)).

Example answers and how they were marked
Full marks2/2

B = 11, 7 = 7

11 × 16 + 7 = 183

Why: The correct answer (2): the first digit times 16, plus the second.

No marks0/2

1011 1000 = 184

Why: Converting to binary first is a correct method, but 7 is converted wrongly, so the answer is wrong (0).

No marks0/2

11 + 7 = 18

Why: Adds the two digits instead of multiplying the first by 16, so neither mark (0).

3Convert2 marks

Binary numbers can represent different forms of data.

Convert the hexadecimal number FE into denary.

Show your working.

[2 marks]
Mark scheme

2 marks for the correct answer

  • 254

No marks for working on its own (e.g. multiplying by 16 (15 * 16 + 14), or converting to binary first (1111 1110)).

Example answers and how they were marked
Full marks2/2

F = 15, E = 14

15 × 16 + 14 = 254

Why: The correct answer (2): the first digit times 16, plus the second.

No marks0/2

1111 1100 = 252

Why: Converting to binary first is a correct method, but E is converted wrongly, so the answer is wrong (0).

No marks0/2

15 + 14 = 29

Why: Adds the two digits instead of multiplying the first by 16, so neither mark (0).

4Convert2 marks

Computers represent data in binary form.

Convert the hexadecimal number 3A into denary.

Show your working.

[2 marks]
Mark scheme

2 marks for the correct answer

  • 58

No marks for working on its own (e.g. multiplying by 16 (3 * 16 + 10), or converting to binary first (0011 1010)).

Example answers and how they were marked
Full marks2/2

3 = 3, A = 10

3 × 16 + 10 = 58

Why: The correct answer (2): the first digit times 16, plus the second.

No marks0/2

0011 1000 = 56

Why: Converting to binary first is a correct method, but A is converted wrongly, so the answer is wrong (0).

No marks0/2

3 + 10 = 13

Why: Adds the two digits instead of multiplying the first by 16, so neither mark (0).

5Convert2 marks

Binary numbers can represent different forms of data.

Convert the hexadecimal number D0 into denary.

Show your working.

[2 marks]
Mark scheme

2 marks for the correct answer

  • 208

No marks for working on its own (e.g. multiplying by 16 (13 * 16 + 0), or converting to binary first (1101 0000)).

Example answers and how they were marked
Full marks2/2

D = 13, 0 = 0

13 × 16 + 0 = 208

Why: The correct answer (2): the first digit times 16, plus the second.

No marks0/2

1101 0001 = 209

Why: Converting to binary first is a correct method, but 0 is converted wrongly, so the answer is wrong (0).

No marks0/2

13 + 0 = 13

Why: Adds the two digits instead of multiplying the first by 16, so neither mark (0).

6Convert2 marks

Computers represent data in binary form.

Convert the hexadecimal number D6 into denary.

Show your working.

[2 marks]
Mark scheme

2 marks for the correct answer

  • 214

No marks for working on its own (e.g. multiplying by 16 (13 * 16 + 6), or converting to binary first (1101 0110)).

Example answers and how they were marked
Full marks2/2

D = 13, 6 = 6

13 × 16 + 6 = 214

Why: The correct answer (2): the first digit times 16, plus the second.

No marks0/2

1101 0111 = 215

Why: Converting to binary first is a correct method, but 6 is converted wrongly, so the answer is wrong (0).

No marks0/2

13 + 6 = 19

Why: Adds the two digits instead of multiplying the first by 16, so neither mark (0).

7Convert2 marks

Computers store all data as binary.

Convert the hexadecimal number DC into denary.

Show your working.

[2 marks]
Mark scheme

2 marks for the correct answer

  • 220

No marks for working on its own (e.g. multiplying by 16 (13 * 16 + 12), or converting to binary first (1101 1100)).

Example answers and how they were marked
Full marks2/2

D = 13, C = 12

13 × 16 + 12 = 220

Why: The correct answer (2): the first digit times 16, plus the second.

No marks0/2

1101 1010 = 218

Why: Converting to binary first is a correct method, but C is converted wrongly, so the answer is wrong (0).

No marks0/2

13 + 12 = 25

Why: Adds the two digits instead of multiplying the first by 16, so neither mark (0).

8Convert2 marks

Binary numbers can represent different forms of data.

Convert the hexadecimal number 6A into denary.

Show your working.

[2 marks]
Mark scheme

2 marks for the correct answer

  • 106

No marks for working on its own (e.g. multiplying by 16 (6 * 16 + 10), or converting to binary first (0110 1010)).

Example answers and how they were marked
Full marks2/2

6 = 6, A = 10

6 × 16 + 10 = 106

Why: The correct answer (2): the first digit times 16, plus the second.

No marks0/2

0110 1000 = 104

Why: Converting to binary first is a correct method, but A is converted wrongly, so the answer is wrong (0).

No marks0/2

6 + 10 = 16

Why: Adds the two digits instead of multiplying the first by 16, so neither mark (0).

9Convert2 marks

Computers store all data as binary.

Convert the hexadecimal number B0 into denary.

Show your working.

[2 marks]
Mark scheme

2 marks for the correct answer

  • 176

No marks for working on its own (e.g. multiplying by 16 (11 * 16 + 0), or converting to binary first (1011 0000)).

Example answers and how they were marked
Full marks2/2

B = 11, 0 = 0

11 × 16 + 0 = 176

Why: The correct answer (2): the first digit times 16, plus the second.

No marks0/2

1011 0001 = 177

Why: Converting to binary first is a correct method, but 0 is converted wrongly, so the answer is wrong (0).

No marks0/2

11 + 0 = 11

Why: Adds the two digits instead of multiplying the first by 16, so neither mark (0).

10Convert2 marks

Computers represent data in binary form.

Convert the hexadecimal number E6 into denary.

Show your working.

[2 marks]
Mark scheme

2 marks for the correct answer

  • 230

No marks for working on its own (e.g. multiplying by 16 (14 * 16 + 6), or converting to binary first (1110 0110)).

Example answers and how they were marked
Full marks2/2

E = 14, 6 = 6

14 × 16 + 6 = 230

Why: The correct answer (2): the first digit times 16, plus the second.

No marks0/2

1110 0111 = 231

Why: Converting to binary first is a correct method, but 6 is converted wrongly, so the answer is wrong (0).

No marks0/2

14 + 6 = 20

Why: Adds the two digits instead of multiplying the first by 16, so neither mark (0).

11Convert2 marks

Computers store all data as binary.

Convert the hexadecimal number 4D into denary.

Show your working.

[2 marks]
Mark scheme

2 marks for the correct answer

  • 77

No marks for working on its own (e.g. multiplying by 16 (4 * 16 + 13), or converting to binary first (0100 1101)).

Example answers and how they were marked
Full marks2/2

4 = 4, D = 13

4 × 16 + 13 = 77

Why: The correct answer (2): the first digit times 16, plus the second.

No marks0/2

0100 1011 = 75

Why: Converting to binary first is a correct method, but D is converted wrongly, so the answer is wrong (0).

No marks0/2

4 + 13 = 17

Why: Adds the two digits instead of multiplying the first by 16, so neither mark (0).

12Convert2 marks

Computers represent data in binary form.

Convert the hexadecimal number 4F into denary.

Show your working.

[2 marks]
Mark scheme

2 marks for the correct answer

  • 79

No marks for working on its own (e.g. multiplying by 16 (4 * 16 + 15), or converting to binary first (0100 1111)).

Example answers and how they were marked
Full marks2/2

4 = 4, F = 15

4 × 16 + 15 = 79

Why: The correct answer (2): the first digit times 16, plus the second.

No marks0/2

0100 1101 = 77

Why: Converting to binary first is a correct method, but F is converted wrongly, so the answer is wrong (0).

No marks0/2

4 + 15 = 19

Why: Adds the two digits instead of multiplying the first by 16, so neither mark (0).

Keep practising Hexadecimal to Denary Conversion

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More exam questions on 1.2 Memory & Storage

Adding Binary Numbers 12 questions Binary Shifts 12 questions Binary to Denary Conversion 12 questions Binary to Hexadecimal Conversion 12 questions Denary to Binary Conversion 12 questions Denary to Hexadecimal Conversion 12 questions Hexadecimal to Binary Conversion 12 questions

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