Computer Systems: A Programmer's Perspective (3rd Edition)
3rd Edition
ISBN: 9780134092669
Author: Bryant, Randal E. Bryant, David R. O'Hallaron, David R., Randal E.; O'Hallaron, Bryant/O'hallaron
Publisher: PEARSON
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Question
Chapter 2.1, Problem 2.12PP
A.
Program Plan Intro
Boolean algebra operations:
- The Boolean algebra is represented by the two element set such as {0, 1}.
- Encode logic value for “1” and “0” is “TRUE” and “FALSE” respectively.
- Operation of Boolean algebra are “~”, “&”, “|” and “^”.
- Encode logical operations for “~”, “&”, “|” and “^” is “NOT”, “AND”, “OR”, and “EXCLUSIVE-OR” respectively.
Table for “&”Boolean operation:
This Boolean operation is used to “AND” the value of two bits
& | 0 | 1 |
0 | 0 | 0 |
1 | 0 | 1 |
B.
Program Plan Intro
Boolean algebra operations:
- The Boolean algebra is represented by the two element set such as {0, 1}.
- Encode logic value for “1” and “0” is “TRUE” and “FALSE” respectively.
- Operation of Boolean algebra are “~”, “&”, “|” and “^”.
- Encode logical operations for “~”, “&”, “|” and “^” is “NOT”, “AND”, “OR”, and “EXCLUSIVE-OR” respectively.
Table for “&”Boolean operation:
This Boolean operation is used to “AND” the value of two bits vectors.
& | 0 | 1 |
0 | 0 | 0 |
1 | 0 | 1 |
Table for “^”Boolean operation:
This Boolean operation is used to “EXCLUSIVE-OR” of two bits vectors.
^ | 0 | 1 |
0 | 0 | 1 |
1 | 1 | 0 |
C.
Program Plan Intro
Boolean algebra operations:
- The Boolean algebra is represented by the two element set such as {0, 1}.
- Encode logic value for “1” and “0” is “TRUE” and “FALSE” respectively.
- Operation of Boolean algebra are “~”, “&”, “|” and “^”.
- Encode logical operations for “~”, “&”, “|” and “^” is “NOT”, “AND”, “OR”, and “EXCLUSIVE-OR” respectively.
Table for “&”Boolean operation:
This Boolean operation is used to “AND” the value of two bits vectors.
& | 0 | 1 |
0 | 0 | 0 |
1 | 0 | 1 |
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Chapter 3: Practice Problems
VIII. You are given the following C code to compute integer absolute value:
int abs(int x)
{
}
return x > (sizeof(int)*8-1);
int comp = x mask;
return comp;
}
A. What bit pattern does mask have, as a function of x?
B. What numerical value does mask have, as a function of x?
C. For what values of x do functions abs and opt abs return identical
results?
D. For the cases where they produce different results, how are the two
results related?
E. Show that with the addition of just one single arithmetic operation
(any C operation is allowed) that you can fix opt abs. Show your
modifications on the original code. (You can just provide the line that
you will add).
F. Are there any values of x such that abs returns a value that is not
greater than 0? Which value(s)?
12.
(identities).
Minimize the function F using algebraic modifications
(w,x,y,z)
Y(Z+WX (W+Z))
+ (XY+(x+y) + Z) +
z ((ZX +2X) A M+1) = 12²x²x²m)_]
[11] Determine the value of F in a standard form:
y
Z'
F
y'
Chapter 2 Solutions
Computer Systems: A Programmer's Perspective (3rd Edition)
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