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Hexadecimal to Decimal Conversion Video Lecture | Digital Electronics - Electrical Engineering (EE)

Q: 2. Can you provide an example of converting a longer hexadecimal number to decimal?

Ans. Sure! Let's convert the hexadecimal number '2F8A' to decimal. We multiply each digit by the corresponding power of 16 and sum up the results: (2 * 16^3) + (15 * 16^2) + (8 * 16^1) + (10 * 16^0) = 8192 + 3840 + 128 + 10 = 12170.

Q: 3. Is there a shortcut to convert a hexadecimal number to decimal?

Ans. Yes, there is a shortcut called the 'hexadecimal to decimal conversion table.' This table provides pre-calculated decimal values for each hexadecimal digit (0-9 and A-F). By looking up the decimal values for each digit and combining them, you can quickly convert a hexadecimal number to decimal without performing the individual calculations.

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FAQs on Hexadecimal to Decimal Conversion Video Lecture - Digital Electronics - Electrical Engineering (EE)

1. How do you convert a hexadecimal number to decimal?

Ans. To convert a hexadecimal number to decimal, you need to multiply each digit of the hexadecimal number by the corresponding power of 16 and then sum up the results. For example, to convert the hexadecimal number "A3" to decimal, you would multiply 10 (A in hexadecimal) by 16^1 and 3 by 16^0, then add the results: (10 * 16^1) + (3 * 16^0) = 160 + 3 = 163.

2. Can you provide an example of converting a longer hexadecimal number to decimal?

Ans. Sure! Let's convert the hexadecimal number "2F8A" to decimal. We multiply each digit by the corresponding power of 16 and sum up the results: (2 * 16^3) + (15 * 16^2) + (8 * 16^1) + (10 * 16^0) = 8192 + 3840 + 128 + 10 = 12170.

3. Is there a shortcut to convert a hexadecimal number to decimal?

Ans. Yes, there is a shortcut called the "hexadecimal to decimal conversion table." This table provides pre-calculated decimal values for each hexadecimal digit (0-9 and A-F). By looking up the decimal values for each digit and combining them, you can quickly convert a hexadecimal number to decimal without performing the individual calculations.

4. Can you convert a decimal number to hexadecimal?

Ans. Yes, you can convert a decimal number to hexadecimal by repeatedly dividing the decimal number by 16 and noting down the remainders. The remainders will form the hexadecimal digits, and the final hexadecimal number will be the reverse order of the remainders. For example, to convert the decimal number 144 to hexadecimal, we divide 144 by 16, which gives a quotient of 9 and a remainder of 0. We then divide the quotient 9 by 16, which gives a quotient of 0 and a remainder of 9. Therefore, the hexadecimal representation of 144 is 90.

5. What is the significance of hexadecimal numbers in computer systems?

Ans. Hexadecimal numbers are widely used in computer systems because they provide a convenient way to represent binary numbers. Each hexadecimal digit corresponds to exactly four binary digits (bits), making it easier to represent and understand large binary numbers. Additionally, hexadecimal numbers are commonly used in computer programming and debugging to represent memory addresses, machine instructions, and data values.

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Jan 24, 2025 Last updated

Video Description: Hexadecimal to Decimal Conversion for Electrical Engineering (EE) 2025 is part of Digital Electronics preparation. The notes and questions for Hexadecimal to Decimal Conversion have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Hexadecimal to Decimal Conversion covers all important topics for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Hexadecimal to Decimal Conversion.

Introduction of Hexadecimal to Decimal Conversion in English is available as part of our Digital Electronics for Electrical Engineering (EE) & Hexadecimal to Decimal Conversion in Hindi for Digital Electronics course. Download more important topics related with notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.

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Video Lecture & Questions for Hexadecimal to Decimal Conversion Video Lecture | Digital Electronics - Electrical Engineering (EE) - Electrical Engineering (EE) full syllabus preparation | Free video for Electrical Engineering (EE) exam to prepare for Digital Electronics.

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Here you can find the meaning of Hexadecimal to Decimal Conversion defined & explained in the simplest way possible. Besides explaining types of Hexadecimal to Decimal Conversion theory, EduRev gives you an ample number of questions to practice Hexadecimal to Decimal Conversion tests, examples and also practice Electrical Engineering (EE) tests.

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