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The decimal equivalent of the binary number 11100001111 is
- a)1806
- b)1807
- c)2806
- d)None of the above
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The decimal equivalent of the binary number 11100001111 isa)1806b)1807...
To find the decimal equivalent of a binary number, each binary digit is multiplied by the corresponding power of 2 and then summed up.
Let's calculate the decimal equivalent of the binary number 11100001111:
Binary: 1 1 1 0 0 0 0 1 1 1 1
Position: 10 9 8 7 6 5 4 3 2 1 0
Position: 10 9 8 7 6 5 4 3 2 1 0
The position of the binary digits is represented by the powers of 2. Starting from the rightmost digit, the powers of 2 increase from 0 to 10 (left to right).
To calculate the decimal equivalent:
1 * 210 + 1 * 29 + 1 * 28 + 0 * 27 + 0 * 26 + 0 * 25 + 0 * 24 + 1 * 23 + 1 * 22 + 1 * 21 + 1 * 20
1 * 210 + 1 * 29 + 1 * 28 + 0 * 27 + 0 * 26 + 0 * 25 + 0 * 24 + 1 * 23 + 1 * 22 + 1 * 21 + 1 * 20
Simplifying this expression:
1024 + 512 + 256 + 0 + 0 + 0 + 0 + 8 + 4 + 2 + 1
1024 + 512 + 256 + 0 + 0 + 0 + 0 + 8 + 4 + 2 + 1
The sum is:
1807
Therefore, the decimal equivalent of the binary number 11100001111 is 1807.
The correct answer is (B) 1807.
1807
Therefore, the decimal equivalent of the binary number 11100001111 is 1807.
The correct answer is (B) 1807.
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The decimal equivalent of the binary number 11100001111 isa)1806b)1807c)2806d)None of the aboveCorrect answer is option 'B'. Can you explain this answer?
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