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Number System Video Lecture | Crash Course for CAT

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FAQs on Number System Video Lecture - Crash Course for CAT

1. What are the different types of number systems used in mathematics?
Ans.The primary number systems include the natural numbers (N), whole numbers (W), integers (Z), rational numbers (Q), real numbers (R), and complex numbers (C). Each system has its own set of properties and uses in various mathematical contexts.
2. How do you convert a decimal number to a binary number?
Ans.To convert a decimal number to binary, divide the number by 2 and record the remainder. Continue dividing the quotient by 2 until you reach 0. The binary number is then read from the bottom remainder to the top.
3. What is the significance of the hexadecimal number system?
Ans.The hexadecimal number system, base 16, is significant in computing and digital electronics because it allows for a more compact representation of binary numbers. Each hex digit represents four binary digits, making it easier to read and write large binary values.
4. How do you add and subtract numbers in the binary system?
Ans.To add binary numbers, align them similarly to decimal addition and carry over when the sum exceeds 1. For subtraction, use borrowing like in decimal subtraction. The rules for carrying and borrowing are similar in both systems.
5. What are some common applications of number systems in real life?
Ans.Number systems are widely used in computer science for programming, data representation, and digital communications. They also play a role in financial calculations, statistical analysis, and scientific measurements.
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