Quiz Answer Key and Fun Facts
1. A number base is the method we use to display and process numbers. Since we have 10 fingers we probably developed our number system based on 10 different digits. What digits are used in the octal system? Octal means eight.
2. Since there are only 10 different digits, we can't have any base greater than 10.
3. Each position to the left of the decimal point has a base value equal to the base raised to the position where the first position is zero. In decimal it would be 10^0=1; 10^1=10; 10^2=100; etc. What would 100 in hexadecimal (base 16) be in decimal?
4. While traveling to another planet, you see on the blackboard the math problem 13 + 15 = 31. What base are they using? Looks like there is a carry.
5. On another planet you see 15 - 7 = 7. What base are they using?
6. A core dump is used for debugging a program. Rather than print in binary, the hexadecimal system is used. It is very easy to convert between the systems by just converting each hex digit to binary and placing the results next to each other. What would be the binary value of hex FE? I always show binary in groups of 4 digits for ease of reading.
7. What would be the decimal value of 1111 1110?
8. In a core dump you would show the address at the left. If the highest computer address was 65535, how many hexadecimal positions would you need to display it?
9. To convert an octal number to hexadecimal, just multiply by 2 and add 16.
10. The following math problem uses 4 different number bases less than 10. 23+25+35=70. What is the problem in decimal?
Source: Author
denmarks
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crisw before going online.
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