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Practice Questions for Number Systems Part-2 Video Lecture - UPSC

Name: Practice Questions for Number Systems Part-2 Video Lecture - UPSC
Uploaded: 2020-09-30T06:05:51Z
Description: Video Lecture & Questions for Practice Questions for Number Systems Part-2 Video Lecture - UPSC - UPSC full syllabus preparation | Free video for UPSC exam.

FAQs on Practice Questions for Number Systems Part-2 Video Lecture - UPSC

1. What are the different number systems commonly used in mathematics?

Ans. There are several number systems commonly used in mathematics, including the decimal system, binary system, octal system, and hexadecimal system. The decimal system is the most commonly used system, which uses base 10 and consists of the digits 0-9. The binary system uses only two digits, 0 and 1, and is commonly used in computer science. The octal system uses base 8 and consists of the digits 0-7. The hexadecimal system uses base 16 and consists of the digits 0-9 and the letters A-F.

2. How do you convert a number from one number system to another?

Ans. To convert a number from one number system to another, you can use the concept of place value. For example, to convert a decimal number to binary, divide the decimal number by 2 repeatedly until the quotient becomes 0. The remainders obtained in each division will form the binary representation of the number. Similarly, to convert a binary number to decimal, multiply each digit of the binary number by the corresponding power of 2 and add the results. This process can be applied to convert numbers between any number systems.

3. What is the significance of the binary number system in computer science?

Ans. The binary number system is of great significance in computer science because computers use electronic circuits that can represent and manipulate binary digits (0 and 1) effectively. The binary system is used to store and process information in computers. Each binary digit, also known as a bit, can represent two states: on or off, true or false, etc. By using combinations of bits, complex operations can be performed, and data can be stored and processed efficiently in computer systems.

4. How is the octal number system used in computer programming?

Ans. The octal number system is commonly used in computer programming, particularly in low-level programming languages such as assembly language. In octal notation, each digit represents three bits. Octal numbers are often used to represent machine instructions or memory addresses in computer programs. Octal numbers are convenient in these contexts because they can represent large binary numbers in a more compact form. However, with the widespread use of high-level programming languages, the octal system is less commonly used in modern programming.

5. What are the advantages of the hexadecimal number system?

Ans. The hexadecimal number system has several advantages in computer science and digital systems. Firstly, each hexadecimal digit represents four bits, which makes it more compact compared to the binary or octal systems. This compact representation is particularly useful when dealing with large binary numbers or memory addresses. Secondly, the hexadecimal system is used to represent binary patterns more concisely, making it easier for programmers to read and understand complex binary data. Additionally, the hexadecimal system is widely used in color representations, where each color component is typically represented by a two-digit hexadecimal number.

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