Questions and Answers
What is the focus of the last lecture?
The focus of the last lecture was on the microprocessor Evolution of Computing.
What are the learning goals for today's lecture?
The learning goals for today's lecture are: 1. To become familiar with number system. 2. To become familiar with number system used by the microprocessors - binary numbers. 3. To become able to perform decimal-to-binary conversions. 4. To become able to perform binary-to-decimal conversions. 5. To understand the NOT, AND, OR and XOR logic operations – the fundamental operations that are available in all microprocessors.
What is the base of the binary number system?
The base of the binary number system is 2.
What is the base of the decimal number system?
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How many symbols or digits are there in the decimal number system?
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What are the two popular number systems other than decimal?
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What is the base of the Octal number system?
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What is the base of the Hexadecimal number system?
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What is the least significant digit in a decimal number?
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What is the most significant digit in a decimal number?
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Study Notes
Number Systems
- A number system is a way of expressing numbers using a set of symbols or digits.
- There are several types of number systems, including binary, decimal, octal, and hexadecimal.
Binary (Base 2) Number System
- Consists of only two symbols or digits: 0 and 1.
- Is the number system used by microprocessors.
Decimal (Base 10) Number System
- Consists of 10 symbols or digits: 0 through 9.
- Is the number system commonly used in everyday life.
- Is expressed in positional notation, where each digit has a place value.
- The right-most digit is the least significant digit, and the left-most digit is the most significant digit.
- Example: 4202 = 2x100 + 0x101 + 2x102 + 4x103.
Other Number Systems
- Octal (Base 8) number system consists of 8 symbols or digits: 0 through 7.
- Hexadecimal (Base 16) number system consists of 16 symbols or digits: 0 through 9, and A through F.
Logic Operations
- There are four fundamental logic operations available in all microprocessors: NOT, AND, OR, and XOR.
- These operations are used to perform logical calculations and make decisions in computer programs.
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Description
Test your knowledge of binary numbers and logic operations with this quiz. Learn about the evolution of computing and the number system.
