Mechanical Engineering Exam > Mechanical Engineering Videos > General Aptitude for GATE > Short Trick - Number System
Short Trick - Number System Video Lecture | General Aptitude for GATE - Mechanical Engineering
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198 videos|165 docs|152 tests
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FAQs on Short Trick - Number System Video Lecture - General Aptitude for GATE - Mechanical Engineering
| 1. What are the different number systems used in mathematics? |  |
Ans. There are several number systems used in mathematics, including the decimal system (base 10), binary system (base 2), octal system (base 8), and hexadecimal system (base 16). Each system represents numbers using different symbols or digits.
| 2. How is the decimal number system different from other number systems? | |
Ans. The decimal number system is the most commonly used number system and is based on the number 10. It uses ten different digits (0-9) to represent numbers. In contrast, other number systems like binary, octal, and hexadecimal use a base other than 10 and have a different set of digits to represent numbers.
| 3. 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 method of successive division. Divide the given number by the base of the target number system and note down the remainders. Repeat this process until the quotient becomes zero. The remainders obtained in reverse order will give you the converted number in the target number system.
| 4. What are the advantages of using different number systems? | |
Ans. Different number systems have their own advantages in various applications. For example, the binary number system is widely used in computer programming and digital electronics because it represents the on/off states of electronic devices. The hexadecimal system is convenient for representing large binary numbers in a more compact form. The octal system is used in some programming languages for its simplicity in representing binary numbers.
| 5. Are there any real-life applications of number systems? | |
Ans. Yes, number systems have real-life applications in various fields. For instance, the decimal number system is used in everyday life for counting, measuring, and making financial transactions. The binary number system is essential in computer science and digital communication. The hexadecimal system is used in areas such as color representation in computer graphics and computer memory addressing.
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Dec 22, 2024 Last updated |
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