Electrical Engineering (EE) Exam > Electrical Engineering (EE) Videos > Digital Electronics > Binary to Decimal Conversion
Binary to Decimal Conversion Video Lecture | Digital Electronics - Electrical Engineering (EE)
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FAQs on Binary to Decimal Conversion Video Lecture - Digital Electronics - Electrical Engineering (EE)
| 1. What is binary to decimal conversion? |  |
Ans. Binary to decimal conversion is the process of converting a binary number (base 2) to its equivalent decimal number (base 10). In binary, only two digits, 0 and 1, are used, whereas in decimal, ten digits, 0 to 9, are used.
| 2. How do you convert a binary number to decimal? | |
Ans. To convert a binary number to decimal, you need to multiply each digit of the binary number by the corresponding power of 2, starting from the rightmost digit. Then, sum up all the results to obtain the decimal equivalent.
| 3. Can you provide an example of binary to decimal conversion? | |
Ans. Sure! Let's convert the binary number 10101 to decimal. Starting from the rightmost digit, we multiply the digit by the corresponding power of 2:
1 * 2^0 = 1
0 * 2^1 = 0
1 * 2^2 = 4
0 * 2^3 = 0
1 * 2^4 = 16
Adding up these results, we get 1 + 0 + 4 + 0 + 16 = 21. Therefore, the decimal equivalent of 10101 is 21.
| 4. What is the maximum decimal number that can be represented by a binary number with n digits? | |
Ans. The maximum decimal number that can be represented by a binary number with n digits is 2^n - 1. This is because each digit in a binary number can have two possible values (0 or 1), and there are n digits in total. By subtracting 1, we account for the fact that the rightmost digit represents 2^0, not 2^1.
| 5. Are there any shortcuts or tricks for binary to decimal conversion? | |
Ans. Yes, there are a few tricks that can make binary to decimal conversion easier. One such trick is to start from the leftmost digit instead of the rightmost. Instead of multiplying each digit by the corresponding power of 2, you can start from 2^0 and double the result as you move to the next digit. This can be particularly useful for larger binary numbers.
About this Video
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Nov 06, 2024 Last updated |
Video Description: Binary to Decimal Conversion for Electrical Engineering (EE) 2024 is part of Digital Electronics preparation.
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