What is the decimal equivalent of binary 1111?

To convert the binary number 1111 to decimal, you can use the positional value method. Each digit in a binary number represents a power of 2, starting from the rightmost digit which represents (2^0), the next digit represents (2^1), and so on.

For the binary number 1111:

• The rightmost digit (1) is in the (2^0) position, which equals 1.

• The next digit (1) is in the (2^1) position, which equals 2.

• The next digit (1) is in the (2^2) position, which equals 4.

• The leftmost digit (1) is in the (2^3) position, which equals 8.

Now, add these values together:

• (8 (from, 2^3) + 4 (from, 2^2) + 2 (from, 2^1) + 1 (from, 2^0) = 15).

Thus, the decimal equivalent of the binary number 1111 is 15. This is why the answer is correct.