001111

001111 is a binary number. In the binary numeral system, also known as base-2, only the digits 0 and 1 are used. Each digit in a binary number represents a power of 2, starting from the rightmost digit as 2^0, then 2^1, 2^2, and so on.

To convert the binary number 001111 to its decimal (base-10) equivalent, we assign weights to each digit. The rightmost 1 is in the 2^0 position, the next 1 is in the 2^1 position, the third 1 is in the 2^2 position, the first 0 is in the 2^3 position, the second 0 is in the 2^4 position, and the leftmost 0 is in the 2^5 position.

The calculation is as follows:

(0 * 2^5) + (0 * 2^4) + (1 * 2^3) + (1 * 2^2) + (1 * 2^1) + (1 * 2^0)

This simplifies to:

(0 * 32) + (0 * 16) + (1 * 8) + (1 * 4) + (1 * 2) + (1 * 1)

= 0 + 0 + 8 + 4 + 2 + 1

= 15

Therefore, the binary number 001111 is equivalent to the decimal number 15. Leading zeros in binary numbers do not change their value, so 001111 is the same as 1111 in binary, which also equals 15. This number is commonly encountered in digital electronics and computer science where binary representations are fundamental.