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Assembly Language for x86 Processors
7th Edition
Chapter 1: Basic Concepts
(c) Pearson Education, 2010. All rights reserved. You may modify and copy this slide show for your personal use, or for
use in the classroom, as long as this copyright statement, the author's name, and the title are not changed.
Slides prepared by the author
slightly modified by the Instructor
Revision date: 2/15/2016
Kip Irvine
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 4
Chapter Overview
Welcome to Assembly Language
Virtual Machine Concept
Data Representation
Boolean Operations
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 5
Welcome to Assembly
Language
Some Good Questions to Ask
Assembly Language
Applications
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 6
Questions to Ask
Why am I learning Assembly Language?
What background should I have?
What is an assembler?
What hardware/software do I need?
What types of programs will I create?
What do I get with this book?
What will I learn?
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 7
Welcome to Assembly
Language (cont)
How does assembly language (AL) relate
to machine language?
How do C++ and Java relate to AL?
Is AL portable?
Why learn AL?
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 8
Assembly Language Applications
Some representative types of applications:
Business application for single platform
Hardware device driver
Business application for multiple platforms
Embedded systems & computer games
(see next panel)
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 9
Comparing ASM to High-Level
Languages
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 10
What's Next
Welcome to Assembly Language
Virtual Machine Concept
Data Representation
Boolean Operations
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 11
Virtual Machine Concept
Virtual Machines
Specific Machine Levels
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 12
Virtual Machines
Tanenbaum: Virtual machine concept
Programming Language analogy:
Each computer has a native machine language
(language L0) that runs directly on its hardware
A more human-friendly language is usually constructed
above machine language, called Language L1
Programs written in L1 can run two different ways:
Interpretation L0 program interprets and executes L1
instructions one by one
Translation L1 program is completely translated into
an L0 program, which then runs on the computer
hardware
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 13
Translating Languages
English: Display the sum of A times B plus C.
C++: cout << (A * B + C);
Assembly Language:
mov eax,A
mul B
add eax,C
call WriteInt
Intel Machine Language:
A1 00000000
F7 25 00000004
03 05 00000008
E8 00500000
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 14
Specific Machine Levels
(descriptions of individual
levels follow . . . )
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 15
High-Level Language
Level 4
Application-oriented languages
C++, Java, Pascal, Visual Basic . . .
Programs compile into assembly
language (Level 4)
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 16
Assembly Language
Level 3
Instruction mnemonics that have a one-
to-one correspondence to machine
language
Programs are translated into Instruction
Set Architecture Level - machine
language (Level 2)
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 17
Instruction Set Architecture (ISA)
Level 2
Also known as conventional machine
language
Executed by Level 1 (Digital Logic)
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 18
Digital Logic
Level 1
CPU, constructed from digital logic
gates
System bus
Memory
Implemented using bipolar transistors
next: Data Representation
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 19
What's Next
Welcome to Assembly Language
Virtual Machine Concept
Data Representation
Boolean Operations
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 20
Data Representation
Binary Numbers
Translating between binary and decimal
Binary Addition
Integer Storage Sizes
Hexadecimal Integers
Translating between decimal and hexadecimal
Hexadecimal subtraction
Signed Integers
Binary subtraction
Character Storage
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 21
Binary Numbers
Digits are 1 and 0
1 = true
0 = false
MSB most significant bit
LSB least significant bit
Bit numbering:
0
15
1 0 1 1 0 0 1 0 1 0 0 1 1 1 0 0
MSB LSB
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 22
Big Endian Little Endian
endian
data
Ex: long MyData=0x12345678 0x0000
data Ex: long
MyData=0x12345678 0x0000
Big Endian
0x12 0x34 0x56 0x78
Little Endian
0x78 0x56 0x34 0x12
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 23
Big Endian Little Endian
data Ex: long
MyData=0x12345678 0x0000
Big Endian
0x12 0x34 0x56 0x78
Little Endian
0x78 0x56 0x34 0x12
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 24
Big Endian Little Endian
data Ex: long
MyData=0x12345678 0x0000
big-endian little-endian
0x0000 0x12 0x78
0x0001 0x34 0x56
0x0002 0x56 0x34
0x0003 0x78 0x12
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 25
Big Endian Little Endian
CPU
INTEL X86 DEC VAX LITTLE-ENDIAN
HP IBM MOTOROLA 68K BIG-ENDIAN
POWERPC BI-ENDIAN
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 26
Program to Test the Machine for endianness
#include <stdio.h>
typedef union { long l; unsigned char c[4]; } EndianTest;
int main(int argc, char* argv[]) {
EndianTest a;
a.l=0x12345678;
int i=0;
if(a.c[0]==0x78 && a.c[1]==0x56 && a.c[2]==0x34 && a.c[3]==0x12) {
printf("This system is 'Little Endian'.n"); }
else if(a.c[0]==0x12 && a.c[1]==0x34 && a.c[2]==0x56 && a.c[3]==0x78)
{
printf("This system is 'Big Endian'.n");
}
else {
printf("This system is 'Unknown Endian'.n");
}
printf("for a long variable value is 0x%lXn",a.l);
printf("and its storage order in memory :n");
for(i=0;i<4;i++) printf("%p : 0x%02Xn",&a.c[i],a.c[i]);
// getchar(); // wait for a key ..
return 0;
}
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 27
Binary Numbers
Each digit (bit) is either 1 or 0
Each bit represents a power of 2:
1 1 1 1 1 1 1 1
27 26 25 24 23 22 21 20
Every
binary
number is a
sum of
powers of 2
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 28
Translating Binary to Decimal
Weighted positional notation shows how to calculate
the decimal value of each binary bit:
dec = (Dn-1 2n-1) (Dn-2 2n-2) ... (D1 21) (D0 20)
D = binary digit
binary 00001001 = decimal 9:
(1 23) + (1 20) = 9
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 29
Translating Unsigned Decimal
to Binary
Repeatedly divide the decimal integer by 2. Each
remainder is a binary digit in the translated value:
37 = 100101
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 30
Binary Addition
Starting with the LSB, add each pair of digits,
include the carry if present.
0 0 0 0 0 1 1 1
0 0 0 0 0 1 0 0
+
0 0 0 0 1 0 1 1
1
(4)
(7)
(11)
carry:
0
1
2
3
4
bit position: 5
6
7
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 31
Integer Storage Sizes
byte
16
8
32
word
doubleword
64
quadword
What is the largest unsigned integer that may be
stored in 20 bits?
Standard sizes:
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 32
Hexadecimal Integers
Binary values are represented in hexadecimal.
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 33
Translating Binary to Hexadecimal
Each hexadecimal digit corresponds to 4
binary bits.
Example: Translate the binary integer
000101101010011110010100 to hexadecimal:
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 34
Converting Hexadecimal to
Decimal
Multiply each digit by its corresponding power of 16:
dec = (D3 163) + (D2 162) + (D1 161) + (D0 160)
Hex 1234 equals (1 163) + (2 162) + (3 161) + (4
160), or decimal 4,660.
Hex 3BA4 equals (3 163) + (11 * 162) + (10 161) + (4
160), or decimal 15,268.
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 35
Powers of 16
Used when calculating hexadecimal values up
to 8 digits long:
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 36
Converting Decimal to Hexadecimal
decimal 422 = 1A6
hexadecimal
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 37
Hexadecimal Addition
Divide the sum of two digits by the number base (16).
The quotient becomes the carry value, and the
remainder is the sum digit.
36 28 28 6A
42 45 58 4B
78 6D 80 B5
1
1
21 / 16 = 1, rem 5
Important skill: Programmers frequently add and subtract the
addresses of variables and instructions.
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 38
Hexadecimal Subtraction
When a borrow is required from the digit to the left, add 16
(decimal) to the current digit's value:
C6 75
A2 47
24 2E
1
16 + 5 = 21
Practice: The address of var1 is 00400020. The address of the next
variable after var1 is 0040006A. How many bytes are used by var1?
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 39
Signed Integers
The highest bit indicates the sign. 1 = negative,
0 = positive
1 1 1 1 0 1 1 0
0 0 0 0 1 0 1 0
sign bit
Negative
Positive
If the highest digit of a hexadecimal integer is > 7, the value is
negative. Examples: 8A, C5, A2, 9D
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 40
Forming the Two's Complement
Negative numbers are stored in two's complement
notation
Represents the additive Inverse
Note that 00000001 + 11111111 = 00000000
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 41
Binary Subtraction
When subtracting A B, convert B to its two's
complement
Add A to ( B)
0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 0
0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1
0 0 0 0 1 0 0 1
Practice: Subtract 0101 from 1001.
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 42
Learn How To Do the Following:
Form the two's complement of a hexadecimal
integer
Convert signed binary to decimal
Convert signed decimal to binary
Convert signed decimal to hexadecimal
Convert signed hexadecimal to decimal
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 43
Ranges of Signed Integers
The highest bit is reserved for the sign. This limits the range:
Practice: What is the largest positive value that may be stored in 20 bits?
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 44
Character Storage
Character sets
Standard ASCII (0 127)
Extended ASCII (0 255)
ANSI (0 255)
Unicode (0 65,535)
Null-terminated String
Array of characters followed by a null
byte
Using the ASCII table
back inside cover of book
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 45
Numeric Data Representation
pure binary
can be calculated directly
ASCII binary
string of digits: "01010101"
ASCII decimal
string of digits: "65"
ASCII hexadecimal
string of digits: "9C"
next: Boolean Operations
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 46
Boolean Algebra
Based on symbolic logic, designed by George
Boole
Boolean expressions created from:
NOT, AND, OR
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 47
What's Next
Welcome to Assembly Language
Virtual Machine Concept
Data Representation
Boolean Operations
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 48
Boolean Operations
NOT
AND
OR
Operator Precedence
Truth Tables
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 49
NOT
Inverts (reverses) a boolean value
Truth table for Boolean NOT
operator:
NOT
Digital gate diagram for NOT:
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 50
AND
Truth table for Boolean AND operator:
AND
Digital gate diagram for AND:
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 51
OR
Truth table for Boolean OR operator:
OR
Digital gate diagram for OR:
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 52
Operator Precedence
Examples showing the order of operations:
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 53
Truth Tables (1 of 3)
A Boolean function has one or more Boolean
inputs, and returns a single Boolean output.
A truth table shows all the inputs and outputs of a
Boolean function
Example: X Y
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 54
Truth Tables (2 of 3)
Example: X Y
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 55
Truth Tables (3 of 3)
Example: (Y S) (X S)
mux
X
Y
S
Z
Two-input multiplexer
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 56
Summary
Assembly language helps you learn how
software is constructed at the lowest levels
Assembly language has a one-to-one
relationship with machine language
Each layer in a computer's architecture is an
abstraction of a machine
layers can be hardware or software
Boolean expressions are essential to the design
of computer hardware and software
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 57
54 68 65 20 45 6E 64
What do these numbers represent?
Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 58

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Assembly Language Basics

  • 1. Assembly Language for x86 Processors 7th Edition Chapter 1: Basic Concepts (c) Pearson Education, 2010. All rights reserved. You may modify and copy this slide show for your personal use, or for use in the classroom, as long as this copyright statement, the author's name, and the title are not changed. Slides prepared by the author slightly modified by the Instructor Revision date: 2/15/2016 Kip Irvine
  • 2. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 4 Chapter Overview Welcome to Assembly Language Virtual Machine Concept Data Representation Boolean Operations
  • 3. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 5 Welcome to Assembly Language Some Good Questions to Ask Assembly Language Applications
  • 4. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 6 Questions to Ask Why am I learning Assembly Language? What background should I have? What is an assembler? What hardware/software do I need? What types of programs will I create? What do I get with this book? What will I learn?
  • 5. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 7 Welcome to Assembly Language (cont) How does assembly language (AL) relate to machine language? How do C++ and Java relate to AL? Is AL portable? Why learn AL?
  • 6. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 8 Assembly Language Applications Some representative types of applications: Business application for single platform Hardware device driver Business application for multiple platforms Embedded systems & computer games (see next panel)
  • 7. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 9 Comparing ASM to High-Level Languages
  • 8. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 10 What's Next Welcome to Assembly Language Virtual Machine Concept Data Representation Boolean Operations
  • 9. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 11 Virtual Machine Concept Virtual Machines Specific Machine Levels
  • 10. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 12 Virtual Machines Tanenbaum: Virtual machine concept Programming Language analogy: Each computer has a native machine language (language L0) that runs directly on its hardware A more human-friendly language is usually constructed above machine language, called Language L1 Programs written in L1 can run two different ways: Interpretation L0 program interprets and executes L1 instructions one by one Translation L1 program is completely translated into an L0 program, which then runs on the computer hardware
  • 11. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 13 Translating Languages English: Display the sum of A times B plus C. C++: cout << (A * B + C); Assembly Language: mov eax,A mul B add eax,C call WriteInt Intel Machine Language: A1 00000000 F7 25 00000004 03 05 00000008 E8 00500000
  • 12. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 14 Specific Machine Levels (descriptions of individual levels follow . . . )
  • 13. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 15 High-Level Language Level 4 Application-oriented languages C++, Java, Pascal, Visual Basic . . . Programs compile into assembly language (Level 4)
  • 14. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 16 Assembly Language Level 3 Instruction mnemonics that have a one- to-one correspondence to machine language Programs are translated into Instruction Set Architecture Level - machine language (Level 2)
  • 15. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 17 Instruction Set Architecture (ISA) Level 2 Also known as conventional machine language Executed by Level 1 (Digital Logic)
  • 16. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 18 Digital Logic Level 1 CPU, constructed from digital logic gates System bus Memory Implemented using bipolar transistors next: Data Representation
  • 17. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 19 What's Next Welcome to Assembly Language Virtual Machine Concept Data Representation Boolean Operations
  • 18. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 20 Data Representation Binary Numbers Translating between binary and decimal Binary Addition Integer Storage Sizes Hexadecimal Integers Translating between decimal and hexadecimal Hexadecimal subtraction Signed Integers Binary subtraction Character Storage
  • 19. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 21 Binary Numbers Digits are 1 and 0 1 = true 0 = false MSB most significant bit LSB least significant bit Bit numbering: 0 15 1 0 1 1 0 0 1 0 1 0 0 1 1 1 0 0 MSB LSB
  • 20. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 22 Big Endian Little Endian endian data Ex: long MyData=0x12345678 0x0000 data Ex: long MyData=0x12345678 0x0000 Big Endian 0x12 0x34 0x56 0x78 Little Endian 0x78 0x56 0x34 0x12
  • 21. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 23 Big Endian Little Endian data Ex: long MyData=0x12345678 0x0000 Big Endian 0x12 0x34 0x56 0x78 Little Endian 0x78 0x56 0x34 0x12
  • 22. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 24 Big Endian Little Endian data Ex: long MyData=0x12345678 0x0000 big-endian little-endian 0x0000 0x12 0x78 0x0001 0x34 0x56 0x0002 0x56 0x34 0x0003 0x78 0x12
  • 23. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 25 Big Endian Little Endian CPU INTEL X86 DEC VAX LITTLE-ENDIAN HP IBM MOTOROLA 68K BIG-ENDIAN POWERPC BI-ENDIAN
  • 24. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 26 Program to Test the Machine for endianness #include <stdio.h> typedef union { long l; unsigned char c[4]; } EndianTest; int main(int argc, char* argv[]) { EndianTest a; a.l=0x12345678; int i=0; if(a.c[0]==0x78 && a.c[1]==0x56 && a.c[2]==0x34 && a.c[3]==0x12) { printf("This system is 'Little Endian'.n"); } else if(a.c[0]==0x12 && a.c[1]==0x34 && a.c[2]==0x56 && a.c[3]==0x78) { printf("This system is 'Big Endian'.n"); } else { printf("This system is 'Unknown Endian'.n"); } printf("for a long variable value is 0x%lXn",a.l); printf("and its storage order in memory :n"); for(i=0;i<4;i++) printf("%p : 0x%02Xn",&a.c[i],a.c[i]); // getchar(); // wait for a key .. return 0; }
  • 25. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 27 Binary Numbers Each digit (bit) is either 1 or 0 Each bit represents a power of 2: 1 1 1 1 1 1 1 1 27 26 25 24 23 22 21 20 Every binary number is a sum of powers of 2
  • 26. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 28 Translating Binary to Decimal Weighted positional notation shows how to calculate the decimal value of each binary bit: dec = (Dn-1 2n-1) (Dn-2 2n-2) ... (D1 21) (D0 20) D = binary digit binary 00001001 = decimal 9: (1 23) + (1 20) = 9
  • 27. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 29 Translating Unsigned Decimal to Binary Repeatedly divide the decimal integer by 2. Each remainder is a binary digit in the translated value: 37 = 100101
  • 28. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 30 Binary Addition Starting with the LSB, add each pair of digits, include the carry if present. 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 + 0 0 0 0 1 0 1 1 1 (4) (7) (11) carry: 0 1 2 3 4 bit position: 5 6 7
  • 29. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 31 Integer Storage Sizes byte 16 8 32 word doubleword 64 quadword What is the largest unsigned integer that may be stored in 20 bits? Standard sizes:
  • 30. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 32 Hexadecimal Integers Binary values are represented in hexadecimal.
  • 31. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 33 Translating Binary to Hexadecimal Each hexadecimal digit corresponds to 4 binary bits. Example: Translate the binary integer 000101101010011110010100 to hexadecimal:
  • 32. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 34 Converting Hexadecimal to Decimal Multiply each digit by its corresponding power of 16: dec = (D3 163) + (D2 162) + (D1 161) + (D0 160) Hex 1234 equals (1 163) + (2 162) + (3 161) + (4 160), or decimal 4,660. Hex 3BA4 equals (3 163) + (11 * 162) + (10 161) + (4 160), or decimal 15,268.
  • 33. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 35 Powers of 16 Used when calculating hexadecimal values up to 8 digits long:
  • 34. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 36 Converting Decimal to Hexadecimal decimal 422 = 1A6 hexadecimal
  • 35. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 37 Hexadecimal Addition Divide the sum of two digits by the number base (16). The quotient becomes the carry value, and the remainder is the sum digit. 36 28 28 6A 42 45 58 4B 78 6D 80 B5 1 1 21 / 16 = 1, rem 5 Important skill: Programmers frequently add and subtract the addresses of variables and instructions.
  • 36. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 38 Hexadecimal Subtraction When a borrow is required from the digit to the left, add 16 (decimal) to the current digit's value: C6 75 A2 47 24 2E 1 16 + 5 = 21 Practice: The address of var1 is 00400020. The address of the next variable after var1 is 0040006A. How many bytes are used by var1?
  • 37. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 39 Signed Integers The highest bit indicates the sign. 1 = negative, 0 = positive 1 1 1 1 0 1 1 0 0 0 0 0 1 0 1 0 sign bit Negative Positive If the highest digit of a hexadecimal integer is > 7, the value is negative. Examples: 8A, C5, A2, 9D
  • 38. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 40 Forming the Two's Complement Negative numbers are stored in two's complement notation Represents the additive Inverse Note that 00000001 + 11111111 = 00000000
  • 39. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 41 Binary Subtraction When subtracting A B, convert B to its two's complement Add A to ( B) 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 1 Practice: Subtract 0101 from 1001.
  • 40. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 42 Learn How To Do the Following: Form the two's complement of a hexadecimal integer Convert signed binary to decimal Convert signed decimal to binary Convert signed decimal to hexadecimal Convert signed hexadecimal to decimal
  • 41. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 43 Ranges of Signed Integers The highest bit is reserved for the sign. This limits the range: Practice: What is the largest positive value that may be stored in 20 bits?
  • 42. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 44 Character Storage Character sets Standard ASCII (0 127) Extended ASCII (0 255) ANSI (0 255) Unicode (0 65,535) Null-terminated String Array of characters followed by a null byte Using the ASCII table back inside cover of book
  • 43. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 45 Numeric Data Representation pure binary can be calculated directly ASCII binary string of digits: "01010101" ASCII decimal string of digits: "65" ASCII hexadecimal string of digits: "9C" next: Boolean Operations
  • 44. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 46 Boolean Algebra Based on symbolic logic, designed by George Boole Boolean expressions created from: NOT, AND, OR
  • 45. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 47 What's Next Welcome to Assembly Language Virtual Machine Concept Data Representation Boolean Operations
  • 46. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 48 Boolean Operations NOT AND OR Operator Precedence Truth Tables
  • 47. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 49 NOT Inverts (reverses) a boolean value Truth table for Boolean NOT operator: NOT Digital gate diagram for NOT:
  • 48. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 50 AND Truth table for Boolean AND operator: AND Digital gate diagram for AND:
  • 49. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 51 OR Truth table for Boolean OR operator: OR Digital gate diagram for OR:
  • 50. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 52 Operator Precedence Examples showing the order of operations:
  • 51. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 53 Truth Tables (1 of 3) A Boolean function has one or more Boolean inputs, and returns a single Boolean output. A truth table shows all the inputs and outputs of a Boolean function Example: X Y
  • 52. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 54 Truth Tables (2 of 3) Example: X Y
  • 53. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 55 Truth Tables (3 of 3) Example: (Y S) (X S) mux X Y S Z Two-input multiplexer
  • 54. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 56 Summary Assembly language helps you learn how software is constructed at the lowest levels Assembly language has a one-to-one relationship with machine language Each layer in a computer's architecture is an abstraction of a machine layers can be hardware or software Boolean expressions are essential to the design of computer hardware and software
  • 55. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 57 54 68 65 20 45 6E 64 What do these numbers represent?
  • 56. Irvine, Kip R. Assembly Language for Intel-Based Computers 7/e, 2015. 58