What is the decimal equivalent of the binary number 1010?

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To convert the binary number 1010 to its decimal equivalent, we need to understand how the binary number system works. In binary, each digit represents a power of 2, starting from the rightmost digit, which represents 2^0 (or 1).

For the binary number 1010:

  • The rightmost digit (0) represents 2^0, which equals 0.

  • The next digit (1) represents 2^1, which equals 2.

  • The next digit (0) represents 2^2, which equals 0.

  • The leftmost digit (1) represents 2^3, which equals 8.

Now, we add the values from the positions where there are 1s:

  • 0 (from the first digit) +

  • 2 (from the second digit) +

  • 0 (from the third digit) +

  • 8 (from the fourth digit) = 0 + 2 + 0 + 8 = 10.

Thus, the decimal equivalent of the binary number 1010 is 10, making the correct answer the representation of the decimal number in the provided choices.

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