國立暨南國際大學 108 學年度第一學期小考試卷

1. Convert the following binary numbers into decimal values:
   • 0000 0100 0110 1001
   • 0011 0001 0111 1111
   • 0101 0101 0101 0101
2. Convert the following octal numbers into decimal:
   • 000345
   • 000111
   • 000777
3. Convert the following hexadecimal numbers into decimal:
   • 1A
   • FF
   • 21
4. Convert the following decimal integer values into binary, octal, and hexadecimal:
   • 101
   • 324
   • 129
5. Add the following binary numbers:
   • 0000 0100 0110 1001
   • 0011 0001 0111 1111
   • 0101 0101 0101 0101
6. Add the following octal numbers:
   • 000345
   • 000111
   • 000777
7. Add the following hexadecimal numbers:
   • 1A
   • FF
   • 21
8. How many distinct binary strings can be formed with n bits?
   
   
   
   
9. Find the negative of the following binary numbers in a two's complement representation.
   • 0000 0100 0110 1001
   • 0011 0001 0111 1111
   • 0101 0101 0101 0101
10. Represent the following in two's complement form using 16 bits:
    • -29
    • 165
    • -100
11. What is the largest positive integer that can be stored in n bits with one leading bit reserved for the sign bit? Explain.
    Smallest negative integer? (Assume two's complement representations.)