*This solution is for the book I am currently reading. All of my notes and solutions are available at Google Code.*

Here is my work for problem 2.33 (skipped publishing 2.31 & 2.32 as they were thought exercises):

We can represent a bit pattern of length w = 4 with a single hex digit. For a two's-
complement interpretation of these digits, fill in the following table to determine
the additive inverses of the digits shown
x -t 4 x
-------------------------------
Hex Decimal Decimal Hex
-------------------------------
0 0 0 0
-------------------------------
5 5 -5 B
-------------------------------
8 -8 -8 8
-------------------------------
D -3 3 3
-------------------------------
F -1 1 1
-------------------------------
Work:
8 = 1000 = -8
D = 1101 = -8 + 4 + 1 = -3
-5
-8 + 2 + 1 = 1011 = B

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