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Hexadecimal to Binary Conversion Exam Questions

6 Edexcel GCSE Computer Science (1CP2) exam-style questions on Hexadecimal to Binary Conversion (2.1 Binary), 12 marks in all. Answer them on paper or print them, then open the mark schemes and example answers to see how each is marked.

Revise Hexadecimal to Binary Conversion first

Build a paper on 2.1 Binary
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1Convert2 marks

Binary patterns can represent numbers.

Convert the hexadecimal number D3 to 8-bit binary.

[2 marks]
Mark scheme

Award one mark for each correct nibble in the correct order:

  • 1101 (1)
  • 0011 (1)

0 marks if the response is not 8-bit binary.

Example answers and how they were marked
Full marks2/2

1101 0011

Why: Each digit is 4 bits: D = 1101, 3 = 0011 (2).

Some marks1/2

1101 0100

Why: Converts 3 as if it were the next digit up. The first nibble is correct (1); the second is not.

No marks0/2

0011 1101

Why: The nibbles are in the wrong order. Neither nibble is correct.

2Convert2 marks

Binary, denary and hexadecimal patterns represent numbers.

Convert the hexadecimal number 82 to 8-bit binary.

[2 marks]
Mark scheme

Award one mark for each correct nibble in the correct order:

  • 1000 (1)
  • 0010 (1)

0 marks if the response is not 8-bit binary.

Example answers and how they were marked
Full marks2/2

1000 0010

Why: Each digit is 4 bits: 8 = 1000, 2 = 0010 (2).

Some marks1/2

1000 0011

Why: Converts 2 as if it were the next digit up. The first nibble is correct (1); the second is not.

No marks0/2

0010 1000

Why: The nibbles are in the wrong order. Neither nibble is correct.

3Convert2 marks

Binary, denary and hexadecimal patterns represent numbers.

Convert the hexadecimal number FE to 8-bit binary.

[2 marks]
Mark scheme

Award one mark for each correct nibble in the correct order:

  • 1111 (1)
  • 1110 (1)

0 marks if the response is not 8-bit binary.

Example answers and how they were marked
Full marks2/2

1111 1110

Why: Each digit is 4 bits: F = 1111, E = 1110 (2).

Some marks1/2

1111 1111

Why: Converts E as if it were the next digit up. The first nibble is correct (1); the second is not.

No marks0/2

1110 1111

Why: The nibbles are in the wrong order. Neither nibble is correct.

4Convert2 marks

Computers manipulate binary patterns.

Convert the hexadecimal number 1F to 8-bit binary.

[2 marks]
Mark scheme

Award one mark for each correct nibble in the correct order:

  • 0001 (1)
  • 1111 (1)

0 marks if the response is not 8-bit binary.

Example answers and how they were marked
Full marks2/2

0001 1111

Why: Each digit is 4 bits: 1 = 0001, F = 1111 (2).

Some marks1/2

0001 0000

Why: Converts F as if it were the next digit up. The first nibble is correct (1); the second is not.

No marks0/2

1111 0001

Why: The nibbles are in the wrong order. Neither nibble is correct.

5Convert2 marks

Binary, denary and hexadecimal patterns represent numbers.

Convert the hexadecimal number B7 to 8-bit binary.

[2 marks]
Mark scheme

Award one mark for each correct nibble in the correct order:

  • 1011 (1)
  • 0111 (1)

0 marks if the response is not 8-bit binary.

Example answers and how they were marked
Full marks2/2

1011 0111

Why: Each digit is 4 bits: B = 1011, 7 = 0111 (2).

Some marks1/2

1011 1000

Why: Converts 7 as if it were the next digit up. The first nibble is correct (1); the second is not.

No marks0/2

0111 1011

Why: The nibbles are in the wrong order. Neither nibble is correct.

6Convert2 marks

Binary, denary and hexadecimal patterns represent numbers.

Convert the hexadecimal number DB to 8-bit binary.

[2 marks]
Mark scheme

Award one mark for each correct nibble in the correct order:

  • 1101 (1)
  • 1011 (1)

0 marks if the response is not 8-bit binary.

Example answers and how they were marked
Full marks2/2

1101 1011

Why: Each digit is 4 bits: D = 1101, B = 1011 (2).

Some marks1/2

1101 1100

Why: Converts B as if it were the next digit up. The first nibble is correct (1); the second is not.

No marks0/2

1011 1101

Why: The nibbles are in the wrong order. Neither nibble is correct.

Keep practising Hexadecimal to Binary Conversion

More exam questions on 2.1 Binary

Teachers: print these as a worksheet with the mark schemes at the end, and sign your school up to set your classes activities on Hexadecimal to Binary Conversion.

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