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# Base Number Conversion Trivia Quiz

### A test of base number conversions.

A multiple-choice quiz by TonyTheDad. Estimated time: 12 mins.

Author
Time
12 mins
Type
Multiple Choice
Quiz #
12,099
Updated
Dec 03 21
# Qns
25
Difficulty
Tough
Avg Score
13 / 25
Plays
1058
Last 3 plays: Guest 115 (0/25), Guest 82 (0/25), Guest 99 (14/25).
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Question 1 of 25
1. Base 16, aka hexadecimal, uses the letters A, B, C, D, E, and F as extra digits beyond the 0 through 9 used for decimal, representing 10-15. Converting to decimal the following hexadecimal number: ABCD.

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Question 2 of 25
2. '11001001' was the title of a Star Trek: The Next Generation episode, where the crew had to deal with four members of a computer-linked species, the Binars, whose names were 11, 00, 10, and 01. What is the decimal conversion of the binary number title?

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Question 3 of 25
3. Base 8, octal, was used by the PDP-1170 computer to represent its memory values on core dumps. What is the decimal conversion of the octal number 1170?

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Question 4 of 25
4. 'Schoolhouse Rock' had a song called 'Little Twelvetoes' which had an alien character with 6 fingers on each hand who could count by 12 as easily as we count by 10. If he counted to 100 in his base 12 (duodecimal), what would that be in decimal?

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Question 5 of 25
5. On computers that use 16-bit 'words', the highest unsigned integer using one word is 65,535. What is this number converted to base 2 (binary)?

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Question 6 of 25
6. Convert from binary to hexadecimal: 1000100010001000.

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Question 7 of 25
7. Now for some weird base conversions: 54321 base 6 is _____ base 10?

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Question 8 of 25
8. 99 base 11 = ____ base 10?

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Question 9 of 25
9. 1212 base 3 = ____ base 10?

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Question 10 of 25
10. 1234 base 5 = ____ base 10?

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Question 11 of 25
11. 5555 decimal = ____ base 10?

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Question 12 of 25
12. 80 base 10 = ____ base 3?

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Question 13 of 25
13. 32 base 10 = ___ base 16?

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Question 14 of 25
14. 7776 base 10 = ____ base 6?

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Question 15 of 25
15. 30 base 7 = ___ base 3?

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Question 16 of 25
16. AA base 16 = ___ base 8?

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Question 17 of 25
17. 48,813 base 10 = ____ base 16?

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Question 18 of 25
18. 1110111011101110 base 2 = ____ base 16?

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Question 19 of 25
19. 999 base 16 = ___ base 3

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Question 20 of 25
20. 3 base 10 = ___ base 12?

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Question 21 of 25
21. 22 base 5 = ___ base 2

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Question 22 of 25
22. FFFF base 16 = ____ base 10

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Question 23 of 25
23. 777 base 8 = ___ base 10?

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Question 24 of 25
24. 432432 base 5 = ____ base 10?

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Question 25 of 25
25. 8888 hexadecimal = ____ decimal?

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Most Recent Scores
May 22 2024 : Guest 115: 0/25
Apr 30 2024 : Guest 82: 0/25
Apr 27 2024 : Guest 99: 14/25
Apr 16 2024 : Guest 76: 1/25

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Quiz Answer Key and Fun Facts
1. Base 16, aka hexadecimal, uses the letters A, B, C, D, E, and F as extra digits beyond the 0 through 9 used for decimal, representing 10-15. Converting to decimal the following hexadecimal number: ABCD.

A=10, B=11, C=12, D=13, E=14, and F=15.
2. '11001001' was the title of a Star Trek: The Next Generation episode, where the crew had to deal with four members of a computer-linked species, the Binars, whose names were 11, 00, 10, and 01. What is the decimal conversion of the binary number title?

3. Base 8, octal, was used by the PDP-1170 computer to represent its memory values on core dumps. What is the decimal conversion of the octal number 1170?

4. 'Schoolhouse Rock' had a song called 'Little Twelvetoes' which had an alien character with 6 fingers on each hand who could count by 12 as easily as we count by 10. If he counted to 100 in his base 12 (duodecimal), what would that be in decimal?

5. On computers that use 16-bit 'words', the highest unsigned integer using one word is 65,535. What is this number converted to base 2 (binary)?

If a signed integer uses one word, it's range is -32,768 - 32,767. In binary, 32,767 is 0111111111111111. But the next number, 1000000000000000, is 'wrapped around' by the computer to represent -32,768. -1 is then represented by 1111111111111111.
6. Convert from binary to hexadecimal: 1000100010001000.

There's an easy shortcut converting binary to other bases that are powers of two (4, 8 - octal, 16 - hexadecimal): group the binary digits (bits) from the right in sets of 4 for hexadecimal, 3 for octal, or 2 for base 4. Convert each set, then concatinate them. E.g., 1000100010001000 grouped is 1000 1000 1000 1000. 1000 binary is 8 hex. So the hexadecimal conversion is 8888.
7. Now for some weird base conversions: 54321 base 6 is _____ base 10?

8. 99 base 11 = ____ base 10?

9. 1212 base 3 = ____ base 10?

10. 1234 base 5 = ____ base 10?

11. 5555 decimal = ____ base 10?

Trick question: base 10 and decimal are the same thing.
12. 80 base 10 = ____ base 3?

13. 32 base 10 = ___ base 16?

14. 7776 base 10 = ____ base 6?

15. 30 base 7 = ___ base 3?

16. AA base 16 = ___ base 8?

17. 48,813 base 10 = ____ base 16?

18. 1110111011101110 base 2 = ____ base 16?

Don't be scared.... 8-)
19. 999 base 16 = ___ base 3

20. 3 base 10 = ___ base 12?

21. 22 base 5 = ___ base 2

22. FFFF base 16 = ____ base 10

23. 777 base 8 = ___ base 10?

24. 432432 base 5 = ____ base 10?