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A computer game designer is creating a new game - Edexcel - GCSE Computer Science - Question 1 - 2020 - Paper 1

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A computer game designer is creating a new game. (a) Colours in the game are represented in hexadecimal. Convert the binary numbers in this table to hexadecimal. ... show full transcript

Worked Solution & Example Answer:A computer game designer is creating a new game - Edexcel - GCSE Computer Science - Question 1 - 2020 - Paper 1

Step 1

Convert 1101 1110 to hexadecimal

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Answer

To convert the binary number 1101 1110 to hexadecimal, first split it into two groups: 1101 and 1110.

Next, convert each group:

  • 1101 in decimal is 13, which is represented as D in hexadecimal.
  • 1110 in decimal is 14, which is represented as E in hexadecimal.

Combining these, 1101 1110 converts to DE in hexadecimal.

Step 2

Convert 1010 1111 to hexadecimal

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Answer

For the binary number 1010 1111, we also split it into 1010 and 1111.

Now, convert each group:

  • 1010 in decimal is 10, represented as A in hexadecimal.
  • 1111 in decimal is 15, represented as F in hexadecimal.

Thus, 1010 1111 converts to AF in hexadecimal.

Step 3

Convert 1100 0100 to hexadecimal

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Answer

For the last binary number 1100 0100, split it into 1100 and 0100.

Then convert:

  • 1100 in decimal is 12, which is represented as C in hexadecimal.
  • 0100 in decimal is 4, represented as 4 in hexadecimal.

Consequently, 1100 0100 converts to C4 in hexadecimal.

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