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FAQs on Mindmap: Number Systems - Quantitative Aptitude (Quant) - CAT
| 1. What are the different types of number systems? |  |
Ans. The main types of number systems include the decimal system (base 10), binary system (base 2), octal system (base 8), and hexadecimal system (base 16). Each system has its own base and uses specific digits to represent numbers.
| 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 by 2 raised to the power of its position (starting from 0 on the right) and then sum all the results. For example, the binary number 1011 equals (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 number systems in computer science? | |
Ans. Number systems are crucial in computer science because they form the foundation for data representation, storage, and processing in computers. For instance, binary is the primary language of computers, while hexadecimal is often used for easier readability of binary data.
| 4. How do you convert a decimal number to binary? | |
Ans. To convert a decimal number to binary, you can use the division by 2 method. Divide the decimal number by 2, record the remainder, and continue dividing the quotient by 2 until you reach 0. The binary number is then read from the bottom remainder to the top.
| 5. What are the applications of hexadecimal number system? | |
Ans. The hexadecimal number system is widely used in computing and digital electronics. It simplifies binary representation, making it easier to read and understand. It's commonly used in programming, web color codes, and memory addresses in computer systems.
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