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Shade two lozenges to show the statements that are true about hexadecimal. - AQA - GCSE Computer Science - Question 2 - 2023 - Paper 2
Question 2
Shade two lozenges to show the statements that are true about hexadecimal.
Worked Solution & Example Answer:Shade two lozenges to show the statements that are true about hexadecimal. - AQA - GCSE Computer Science - Question 2 - 2023 - Paper 2
Step 1
Shade two lozenges to show the statements that are true about hexadecimal.
Answer
Hexadecimal is a base-16 number system, which means it uses 16 symbols: the numbers 0-9 and the letters A-F to represent values. The two true statements that should be shaded are those that accurately describe hexadecimal representation. Examples of true statements include:
- Hexadecimal uses 16 digits: The digits range from 0 to F, where A, B, C, D, E, and F represent the values 10 to 15.
- Hexadecimal is often used in computing: It is commonly used in digital electronics and color coding in web design.
Thus, one would shade the lozenges corresponding to these statements.
Step 2
Convert the hexadecimal number 2D into binary.
Answer
To convert the hexadecimal number 2D to binary, we proceed as follows:
- Identify the hexadecimal digits: 2 and D.
- Convert each hexadecimal digit to its binary equivalent:
- The digit '2' in hexadecimal is '0010' in binary.
- The digit 'D' in hexadecimal is '1101' in binary.
- Combine the binary representations:
- Thus, the binary equivalent of the hexadecimal number 2D is '00101101'.
In summary, the conversion steps lead us to: