Examples: Number systems and Expansion

# Examples: Number systems and Expansion Video Lecture | Mathematics & Pedagogy - CTET & State TET

## Mathematics & Pedagogy

151 videos|108 docs|69 tests

## FAQs on Examples: Number systems and Expansion Video Lecture - Mathematics & Pedagogy - CTET & State TET

 1. What are number systems and why are they important?
Answer 1. Number systems are a way to represent and express numbers using a set of symbols or digits. They are important because they allow us to perform mathematical operations, communicate quantities, and solve problems in various fields such as science, engineering, and finance.
 2. How many types of number systems are there?
Answer 2. There are several types of number systems, including the decimal system (base-10), binary system (base-2), octal system (base-8), and hexadecimal system (base-16). These are the most commonly used number systems, but there are others as well.
 3. What is the decimal number system?
Answer 3. The decimal number system, also known as the base-10 system, is the most widely used number system. It uses ten digits (0-9) to represent numbers. Each digit's place value is determined by its position in the number, with the rightmost digit being the ones place, the next digit to its left being the tens place, and so on.
 4. How does the binary number system work?
Answer 4. The binary number system, also known as the base-2 system, uses only two digits: 0 and 1. It represents numbers by using powers of 2. Each digit's place value is determined by its position in the number, with the rightmost digit being the ones place (2^0), the next digit to its left being the twos place (2^1), and so on.
 5. How can number systems be expanded beyond their base?
Answer 5. Number systems can be expanded beyond their base by introducing additional symbols or digits. For example, the hexadecimal system (base-16) uses the digits 0-9 for numbers 0-9, and letters A-F for numbers 10-15. This allows for a larger range of numbers to be represented using a limited set of symbols.

## Mathematics & Pedagogy

151 videos|108 docs|69 tests

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