Numbers and operations · Ages 13–14

Hexadecimal numbers worksheet

Part of: Laws of integral indices

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Numbers and operations · Ages 13–14

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Write each answer in the space. For word problems, show your working and write a sentence answer.

13.A batch of data is stored from memory address 28₁₆ on, one piece an address, 21 pieces in all. What is the last piece's address as a decimal number?
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Answer:
14.Put these hexadecimal numbers in order, smallest first.
- A. 16₁₆
- B. 6A₁₆
- C. 4F₁₆
- D. 71₁₆
Write the letters in the right order
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Answer:
15.Tsz-hin says that in the colour code #13B7FB the red is stronger than the blue. Tsz-hin is right.
True or false?
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Answer:
16.A block of memory runs from address 6C₁₆ to 91₁₆, one piece of data an address. How many pieces of data does it hold?
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Answer:
17.A colour's red is 200 as a decimal number. In a colour code it is written in hexadecimal: as what?
- A. 8C
- B. 200
- C. C
- D. C8
Choose the right answer
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Answer:
18.In the web colour code #29C52F, each pair of hexadecimal digits gives red, green and blue in turn. How strong is the green, as a decimal number?
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Answer:

Show the answers and working

Hexadecimal numbers worksheet: Answers and working

1. 1, 11, 27
A = 10, B = 11, C = 12, D = 13, E = 14, F = 15: 1 × 16 + 11 = 27.
2. 101
The left digit's place value is 16: 6 × 16 + 5 = 101 (A to F stand for 10 to 15).
3. 1, 1111, 11111
Each hexadecimal digit becomes four binary digits, then join them: 11111₂.
4. 3755
From the right the place values are 1, 16, 256: 14 × 256 + 10 × 16 + 11 = 3755.
5. 159
As decimals first: 250 − 91 = 159.
6. 121
As decimals first: 216 − 95 = 121.

7. True
A, B, C, D, E and F stand for 10, 11, 12, 13, 14 and 15 in turn, so B is 11.
8. True
A, B, C, D, E and F stand for 10, 11, 12, 13, 14 and 15 in turn, so C is 12.
9. B. 78₁₆
Group in fours from the right: the left group is 7, the right 8, so 78₁₆.
10. A. D4₁₆
212 ÷ 16 = 13 r 4; 13 is written D, so D4₁₆.
11. True
As a decimal first: E3₁₆ = 227; then compare it with 219.
12. False
As a decimal first: 9C₁₆ = 156; then compare it with 167.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 60
28₁₆ = 40; the 1st is at 40 and the 21st at 40 + 21 − 1 = 60.
14. A → C → B → D
Compare the left digits (the 16s) first, then the right; A to F are bigger than 9.
15. False
Red is 13₁₆ = 19 and blue FB₁₆ = 251: compare them.
16. 38
6C₁₆ = 108 and 91₁₆ = 145; counting both ends, 145 − 108 + 1 = 38.
17. D. C8
200 ÷ 16 = 12 r 8, and 12 is written C: C8.
18. 197
The middle pair, C5, is green: C5₁₆ = 197.

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