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Assembly Language for x86 Processors
6th 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
Revision date: 2/15/2010
Kip Irvine
Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 2
Chapter Overview
• Welcome to Assembly Language
• Virtual Machine Concept
• Data Representation
• Boolean Operations
Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 3
Welcome to Assembly Language
• Some Good Questions to Ask
• Assembly Language Applications
Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 4
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 6/e, 2010. 5
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 6/e, 2010. 6
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 6/e, 2010. 7
Comparing ASM to High-Level Languages
Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 8
What's Next
• Welcome to Assembly Language
• Virtual Machine Concept
• Data Representation
• Boolean Operations
Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 9
Virtual Machine Concept
• Virtual Machines
• Specific Machine Levels
Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 10
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 6/e, 2010. 11
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 6/e, 2010. 12
Specific Machine Levels
(descriptions of individual levels
follow . . . )
Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 13
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 6/e, 2010. 14
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 6/e, 2010. 15
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 6/e, 2010. 16
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 6/e, 2010. 17
What's Next
• Welcome to Assembly Language
• Virtual Machine Concept
• Data Representation
• Boolean Operations
Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 18
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 6/e, 2010. 19
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 6/e, 2010. 20
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 6/e, 2010. 21
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 6/e, 2010. 22
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 6/e, 2010. 23
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 6/e, 2010. 24
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 6/e, 2010. 25
Hexadecimal Integers
Binary values are represented in hexadecimal.
Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 26
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 6/e, 2010. 27
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 6/e, 2010. 28
Powers of 16
Used when calculating hexadecimal values up to 8 digits
long:
Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 29
Converting Decimal to Hexadecimal
decimal 422 = 1A6 hexadecimal
Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 30
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 6/e, 2010. 31
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 6/e, 2010. 32
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 6/e, 2010. 33
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 6/e, 2010. 34
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 6/e, 2010. 35
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 6/e, 2010. 36
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 6/e, 2010. 37
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
ASCII
Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 38
Extended ASCII
Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 39
ANSI
Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 40
Source: www.uniplot.de
Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 41
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 6/e, 2010. 42
What's Next
• Welcome to Assembly Language
• Virtual Machine Concept
• Data Representation
• Boolean Operations
Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 43
Boolean Operations
• NOT
• AND
• OR
• Operator Precedence
• Truth Tables
Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 44
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 6/e, 2010. 45
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 6/e, 2010. 46
AND
• Truth table for Boolean AND operator:
AND
Digital gate diagram for AND:
Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 47
OR
• Truth table for Boolean OR operator:
OR
Digital gate diagram for OR:
Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 48
Operator Precedence
• Examples showing the order of operations:
Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 49
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 6/e, 2010. 50
Truth Tables (2 of 3)
• Example: X  Y
Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 51
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 6/e, 2010. 52
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 6/e, 2010. 53
54 68 65 20 45 6E 64
What do these numbers represent?

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chapt_01.ppt

  • 1. Assembly Language for x86 Processors 6th 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 Revision date: 2/15/2010 Kip Irvine
  • 2. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 2 Chapter Overview • Welcome to Assembly Language • Virtual Machine Concept • Data Representation • Boolean Operations
  • 3. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 3 Welcome to Assembly Language • Some Good Questions to Ask • Assembly Language Applications
  • 4. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 4 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 6/e, 2010. 5 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 6/e, 2010. 6 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 6/e, 2010. 7 Comparing ASM to High-Level Languages
  • 8. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 8 What's Next • Welcome to Assembly Language • Virtual Machine Concept • Data Representation • Boolean Operations
  • 9. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 9 Virtual Machine Concept • Virtual Machines • Specific Machine Levels
  • 10. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 10 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 6/e, 2010. 11 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 6/e, 2010. 12 Specific Machine Levels (descriptions of individual levels follow . . . )
  • 13. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 13 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 6/e, 2010. 14 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 6/e, 2010. 15 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 6/e, 2010. 16 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 6/e, 2010. 17 What's Next • Welcome to Assembly Language • Virtual Machine Concept • Data Representation • Boolean Operations
  • 18. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 18 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 6/e, 2010. 19 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 6/e, 2010. 20 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
  • 21. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 21 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
  • 22. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 22 Translating Unsigned Decimal to Binary • Repeatedly divide the decimal integer by 2. Each remainder is a binary digit in the translated value: 37 = 100101
  • 23. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 23 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
  • 24. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 24 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:
  • 25. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 25 Hexadecimal Integers Binary values are represented in hexadecimal.
  • 26. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 26 Translating Binary to Hexadecimal • Each hexadecimal digit corresponds to 4 binary bits. • Example: Translate the binary integer 000101101010011110010100 to hexadecimal:
  • 27. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 27 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.
  • 28. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 28 Powers of 16 Used when calculating hexadecimal values up to 8 digits long:
  • 29. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 29 Converting Decimal to Hexadecimal decimal 422 = 1A6 hexadecimal
  • 30. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 30 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.
  • 31. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 31 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?
  • 32. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 32 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
  • 33. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 33 Forming the Two's Complement • Negative numbers are stored in two's complement notation • Represents the additive Inverse Note that 00000001 + 11111111 = 00000000
  • 34. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 34 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.
  • 35. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 35 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
  • 36. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 36 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?
  • 37. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 37 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
  • 38. ASCII Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 38
  • 39. Extended ASCII Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 39
  • 40. ANSI Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 40 Source: www.uniplot.de
  • 41. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 41 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
  • 42. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 42 What's Next • Welcome to Assembly Language • Virtual Machine Concept • Data Representation • Boolean Operations
  • 43. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 43 Boolean Operations • NOT • AND • OR • Operator Precedence • Truth Tables
  • 44. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 44 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 6/e, 2010. 45 NOT • Inverts (reverses) a boolean value • Truth table for Boolean NOT operator: NOT Digital gate diagram for NOT:
  • 46. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 46 AND • Truth table for Boolean AND operator: AND Digital gate diagram for AND:
  • 47. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 47 OR • Truth table for Boolean OR operator: OR Digital gate diagram for OR:
  • 48. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 48 Operator Precedence • Examples showing the order of operations:
  • 49. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 49 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
  • 50. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 50 Truth Tables (2 of 3) • Example: X  Y
  • 51. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 51 Truth Tables (3 of 3) • Example: (Y  S)  (X  S) mux X Y S Z Two-input multiplexer
  • 52. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 52 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
  • 53. Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 53 54 68 65 20 45 6E 64 What do these numbers represent?