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Decimal Number System Video Lecture | Additional Study Material for CAT

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FAQs on Decimal Number System Video Lecture - Additional Study Material for CAT

1. What is the decimal number system?
Ans. The decimal number system is a base-10 number system that uses 10 digits (0-9) to represent numbers. It is the most commonly used number system in everyday life and consists of a combination of digits to create different values.
2. How does the decimal number system work?
Ans. In the decimal number system, each digit's value is based on its position or place value in the number. The rightmost digit holds the units place value, the next digit to the left holds the tens place value, and so on. Each place value is a power of 10, starting from 10^0 for the units place, 10^1 for the tens place, 10^2 for the hundreds place, and so on.
3. What are the advantages of using the decimal number system?
Ans. The decimal number system offers several advantages. Firstly, it is easily understandable and widely used, making it convenient for everyday calculations and communications. Secondly, it allows for precise representation and manipulation of fractional values, as decimal fractions can be expressed accurately. Lastly, the decimal system aligns well with human perception and counting abilities, making it intuitive for most people.
4. How is the decimal number system different from other number systems?
Ans. The decimal number system is different from other number systems, such as binary or hexadecimal, primarily due to its base. The decimal system is base-10, meaning it uses 10 digits (0-9). In contrast, binary is base-2 (0-1) and hexadecimal is base-16 (0-9, A-F). Additionally, the decimal system is most commonly used in everyday life and is the standard for arithmetic calculations.
5. Can numbers from other number systems be converted to the decimal number system?
Ans. Yes, numbers from other number systems can be converted to the decimal number system. The process involves multiplying each digit by the corresponding power of the base and summing the results. For example, to convert a binary number to decimal, each binary digit is multiplied by 2 raised to the power of its position, starting from 0 for the rightmost digit. The resulting values are then summed to obtain the decimal equivalent.
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