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Number System Video Lecture | Mathematics (Maths) Class 9

FAQs on Number System Video Lecture - Mathematics (Maths) Class 9

1. What are the different types of number systems?

Ans. The primary types of number systems include the Decimal Number System (base 10), Binary Number System (base 2), Octal Number System (base 8), and Hexadecimal Number System (base 16). Each system has a different base and is used in various applications, such as computing for binary and hexadecimal systems, and everyday counting for the decimal system.

2. How do you convert a binary number to a decimal number?

Ans. To convert a binary number to a decimal number, you multiply each digit of the binary number by 2 raised to the power of its position, starting from 0 on the right. For example, the binary number 1011 can be converted to decimal as follows: (1 × 2^3) + (0 × 2^2) + (1 × 2^1) + (1 × 2^0) = 8 + 0 + 2 + 1 = 11 in decimal.

3. What is the importance of the hexadecimal number system in computer science?

Ans. The hexadecimal number system is important in computer science because it provides a more human-friendly representation of binary-coded values. Each hexadecimal digit corresponds to four binary digits (bits), making it easier to read and write large binary numbers. It is commonly used in programming, memory addresses, and color codes in web design.

4. Can you explain how to convert a decimal number to binary?

Ans. To convert a decimal number to binary, you can use the division by 2 method. Continuously divide the decimal number by 2, noting the quotient and the remainder. The binary equivalent is formed by reading the remainders in reverse order. For example, to convert 13 to binary: 13 ÷ 2 = 6 (remainder 1), 6 ÷ 2 = 3 (remainder 0), 3 ÷ 2 = 1 (remainder 1), 1 ÷ 2 = 0 (remainder 1). Reading the remainders from bottom to top gives you 1101.

5. What is the relationship between the octal number system and binary?

Ans. The octal number system is directly related to the binary number system, as each octal digit corresponds to three binary digits (bits). This relationship allows for easy conversion between the two systems. For example, the octal digit 7 in binary is represented as 111, and the octal number 12 is represented in binary as 1010.

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	Mathematics (Maths) Class 9 40 videos\|471 docs\|57 tests

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40 videos|471 docs|57 tests

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