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Practice Problems: Number System- 2 Video Lecture | UPSC CSAT: Crash Course (English)
FAQs on Practice Problems: Number System- 2 Video Lecture - UPSC CSAT: Crash Course (English)
| 1. What is the number system? |  |
Ans. The number system is a way of representing and expressing numbers using a set of symbols or digits. It includes various systems such as the decimal system (base 10), binary system (base 2), octal system (base 8), and hexadecimal system (base 16).
| 2. How does the decimal number system work? | |
Ans. The decimal number system, also known as the base 10 system, uses 10 digits (0-9) to represent numbers. Each digit's position in a number indicates its value based on powers of 10. For example, in the number 352, the digit 3 represents 300 (3 x 10^2), the digit 5 represents 50 (5 x 10^1), and the digit 2 represents 2 (2 x 10^0).
| 3. What is the binary number system? | |
Ans. The binary number system is a base 2 system that uses only two digits, 0 and 1, to represent numbers. Each digit's position in a binary number represents its value based on powers of 2. For example, in the binary number 10110, the digit 1 in the leftmost position represents 16 (1 x 2^4), the digit 0 represents 0 (0 x 2^3), the digit 1 represents 2 (1 x 2^1), and the digit 0 in the rightmost position represents 0 (0 x 2^0).
| 4. How do you convert a decimal number to a binary number? | |
Ans. To convert a decimal number to a binary number, you can use the process of repeated division by 2. Start by dividing the decimal number by 2 and recording the remainder. Then, divide the quotient by 2 and record the remainder again. Repeat this process until the quotient becomes 0. The binary representation is obtained by writing the remainders in reverse order.
| 5. What is the hexadecimal number system? | |
Ans. The hexadecimal number system is a base 16 system that uses 16 digits, 0-9 and A-F, to represent numbers. Each digit's position in a hexadecimal number represents its value based on powers of 16. For example, in the hexadecimal number A7, the digit A represents 10 (10 x 16^1) and the digit 7 represents 7 (7 x 16^0). Hexadecimal numbers are commonly used in computer science and programming.
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Dec 22, 2024 Last updated |
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