Decimal Equivalent of 00000100

Decimal Equivalent of 00000100

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Question

What is the decimal equivalent of 00000100?

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Explanations

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A. B. C. D.

B

The number 00000100 is a binary number. In order to convert it to a decimal number, we need to use the positional numbering system. In this system, each digit represents a power of 10 based on its position from the rightmost digit.

For example, in the number 123, the digit 3 represents 10^0 or 1, the digit 2 represents 10^1 or 10, and the digit 1 represents 10^2 or 100.

Similarly, in the binary number 00000100, the rightmost digit represents 2^0 or 1, the next digit to the left represents 2^1 or 2, the next digit represents 2^2 or 4, and so on.

So, we can calculate the decimal equivalent of 00000100 by adding up the values of each digit:

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0*2^0 + 0*2^1 + 0*2^2 + 0*2^3 + 1*2^4 + 0*2^5 + 0*2^6 + 0*2^7 = 0 + 0 + 0 + 0 + 16 + 0 + 0 + 0 = 16

Therefore, the decimal equivalent of 00000100 is 16.

However, none of the given answer options are 16. The closest answer option is B. 4, which is the decimal equivalent of the binary number 00000100 if we only consider the rightmost 1 digit. This is because 2^2 equals 4.

Therefore, the correct answer to this question would be B. 4, although it should be noted that the question is somewhat misleading as the binary number given does not have a direct relation to any of the answer options.