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Questions and Answers
What does BCD stand for?
What does BCD stand for?
How many digits are used to represent numbers in base B?
How many digits are used to represent numbers in base B?
B
The ASCII code is an abbreviation of the American Standard Code for Information Interchange.
The ASCII code is an abbreviation of the American Standard Code for Information Interchange.
True
What are the two binary values used by a computer to represent and process information?
What are the two binary values used by a computer to represent and process information?
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The Gray code is also known as reflected binary code.
The Gray code is also known as reflected binary code.
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What are the three methods used to represent negative numbers in a computer?
What are the three methods used to represent negative numbers in a computer?
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What is the name of the representation of negative integers obtained by adding +1 to its CP1 representation?
What is the name of the representation of negative integers obtained by adding +1 to its CP1 representation?
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The fixed-point representation of real numbers is commonly used for representing real numbers because it is easy to manage the position of the fixed point.
The fixed-point representation of real numbers is commonly used for representing real numbers because it is easy to manage the position of the fixed point.
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Floating-point representation is generally adopted to manage the position of the fixed point.
Floating-point representation is generally adopted to manage the position of the fixed point.
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What does the IEEE-754 standard represent?
What does the IEEE-754 standard represent?
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Choose all of the basic logical operators:
Choose all of the basic logical operators:
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What does a Boolean expression return when evaluated?
What does a Boolean expression return when evaluated?
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Which of these operators has the lowest priority in a Boolean expression?
Which of these operators has the lowest priority in a Boolean expression?
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What is the name of the mathematical tool for representing Boolean expressions using the different combinations of variables?
What is the name of the mathematical tool for representing Boolean expressions using the different combinations of variables?
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What is the purpose of Boolean simplification?
What is the purpose of Boolean simplification?
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Choose the two simplification methods presented in this chapter:
Choose the two simplification methods presented in this chapter:
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Karnaugh method is also known as the VEITCH diagram.
Karnaugh method is also known as the VEITCH diagram.
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What is the purpose of Karnaugh Map in boolean functions?
What is the purpose of Karnaugh Map in boolean functions?
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Each cell in a Karnaugh table represents a min-term of the Boolean function.
Each cell in a Karnaugh table represents a min-term of the Boolean function.
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Two cells in the Karnaugh table are said to be adjacent if the two min-terms of the two cells differ by a single variable.
Two cells in the Karnaugh table are said to be adjacent if the two min-terms of the two cells differ by a single variable.
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Study Notes
Module: MS1
- This module covers machine structure, specifically the codification and representation of numbers.
- The course objectives include providing an introduction to computer architecture and binary representation, familiarising students with binary and machine code, and introducing Boolean algebra.
- Teaching staff includes Bahri Mohamed redha and Boussebough Imen, both with MCB qualifications in New Technologies.
- The students concerned are from the New Technologies faculty and are specializing in Information and Networking.
Chapter 1: Part-1 - Codification and representation of numbers
- Introduction: Information technology is integral to modern life, with computers acting as the primary tool. Understanding computer representation of data, starting with numbers, is fundamental.
- Positive Integers: Computers use binary (0 and 1) to represent data, including numbers. These binary representations have limits on the size of the numbers they can store.
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Representation of positive integers in a base B: Numbers written in any base B, (where B is an integer > 2), use B digits for representation.
- Example: base 10 uses the digits 0 to 9, and base 2 uses 0 and 1.
- Using Euclidean division, any base 10 number can be converted to another base.
- Decimal value of a number in base B: A number in any base B can be converted to a decimal value by multiplying each digit by the corresponding power of the base, then summing these products.
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Classical bases: Binary (base 2), Octal (base 8), Decimal (base 10), and Hexadecimal (base 16) are commonly used. Conversions between these bases are essential in computer science.
- Converting binary to octal involves grouping three bits at a time.
- Converting binary to hexadecimal involves grouping four bits at a time.
Chapter 1: Part-2 - a-numeric coding
- ASCII Code (07 bits): The American Standard Code for Information Interchange is a standard for representing text in computers. It uses 7 bits per character, but is extended to 8 bits including the eighth bit for system purposes.
- Extended ASCII Code (08 bits): For representing more characters than the standard ASCII code allows, the extended version expands to 8 bits per character/symbol. This expanded code allows for a wider variety of characters needed by different languages and symbols.
Chapter 1: Part-3 - Boolean algebra
- Introduction: Boolean algebra, developed by English mathematician George Boole, is essential for representing and working with logic circuits and operations in computers.
- Boolean variables: These variables represent logical values (True or False) or (1 or 0). Common variables are typically represented by letters from the alphabet.
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Basic operators:
- AND (*,., or ∩): True only if both operands are true.
- OR (+ or ∪): True if at least one operand is true.
- Negation (~ or ⁻): True if the operand is false, False if the operand is true.
- Boolean expression: Using these operators, expressions are formed, evaluating to True or False.
- Order of Precedence: Boolean expressions have a priority order among the operators for evaluation. This ensures definite and consistent results.
- Truth tables: These use all combinations of values for the variables in an expression to map each case to the expression's value.
- Boolean Functions: These functions involve multiple inputs represented by Boolean variables with outputs determined by Boolean expressions and possible conditions and requirements.
- Representing Boolean Functions: Boolean functions can be represented using different notations (truth tables, Sum of Products (SOP), Product of Sums (POS)) to find a shorter and more efficient expression for the function.
Additional Notes
- The text mentions several conversion methods between number systems.
- This material provides foundational knowledge for understanding digital systems and their operation.
- Additional details and examples are provided in various parts for clarification.
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Description
This quiz focuses on Chapter 1 of the MS1 module, covering the codification and representation of numbers in computer architecture. You'll explore how positive integers are represented in binary and the significance of Boolean algebra. It is designed for students specializing in Information and Networking in New Technologies.
