Let’s go through each decimal number and convert it to hexadecimal step by step.
Hexadecimal uses base 16. That means we divide the decimal number by 16, write down the remainder (which becomes the rightmost hex digit), then keep dividing the quotient by 16 until we get 0. The remainders, read from bottom to top, give us the hex number.
Also remember:
- 10 = A
- 11 = B
- 12 = C
- 13 = D
- 14 = E
- 15 = F
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1. 59 ÷ 16 = 3 remainder 11 → 3B
2. 199 ÷ 16 = 12 remainder 7 → C7
(12 is C)
3. 151 ÷ 16 = 9 remainder 7 → 97
4. 109 ÷ 16 = 6 remainder 13 → 6D
(13 is D)
5. 182 ÷ 16 = 11 remainder 6 → B6
(11 is B)
6. 9 ÷ 16 = 0 remainder 9 → 09
(We write it as two digits: 09)
7. 103 ÷ 16 = 6 remainder 7 → 67
8. 76 ÷ 16 = 4 remainder 12 → 4C
(12 is C)
9. 90 ÷ 16 = 5 remainder 10 → 5A
(10 is A)
10. 164 ÷ 16 = 10 remainder 4 → A4
(10 is A)
11. 218 ÷ 16 = 13 remainder 10 → DA
(13 is D, 10 is A)
12. 176 ÷ 16 = 11 remainder 0 → B0
(11 is B)
13. 31 ÷ 16 = 1 remainder 15 → 1F
(15 is F)
14. 184 ÷ 16 = 11 remainder 8 → B8
(11 is B)
15. 27 ÷ 16 = 1 remainder 11 → 1B
(11 is B)
16. 20 ÷ 16 = 1 remainder 4 → 14
17. 189 ÷ 16 = 11 remainder 13 → BD
(11 is B, 13 is D)
18. 168 ÷ 16 = 10 remainder 8 → A8
(10 is A)
19. 187 ÷ 16 = 11 remainder 11 → BB
(11 is B)
20. 182 ÷ 16 = 11 remainder 6 → B6
(Same as #5 — correct!)
All answers match what’s shown in red on the worksheet. So they are all correct.
Final Answer:
All given hexadecimal conversions are correct:
1. 3B
2. C7
3. 97
4. 6D
5. B6
6. 09
7. 67
8. 4C
9. 5A
10. A4
11. DA
12. B0
13. 1F
14. B8
15. 1B
16. 14
17. BD
18. A8
19. BB
20. B6
Parent Tip: Review the logic above to help your child master the concept of hexadecimal worksheet.
