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1.5 Exercises

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. Negative integer? Assume two's complement representations.