What is the decimal equivalent of binary 1010?

To convert the binary number 1010 to its decimal equivalent, each digit in the binary system is assigned a power of 2, starting from the rightmost digit, which represents 2^0. The binary number 1010 can be analyzed as follows:

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

• The next digit to the left (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, when you sum those values together, it looks like this:

0 (from 2^0) + 2 (from 2^1) + 0 (from 2^2) + 8 (from 2^3) = 0 + 2 + 0 + 8 = 10.

Thus, the decimal equivalent of the binary number 1010 is indeed 10. This process highlights how the place value system in binary relates to its decimal form, clearly illustrating why the correct answer is 10.