What is the decimal equivalent of the binary number 00001111?

To convert a binary number to its decimal equivalent, you can use the positional values of the binary digits (bits). Each bit represents a power of 2, starting from 0 on the right.

In the binary number 00001111, the rightmost bit (the least significant bit) is in the 2^0 position, the next is in the 2^1 position, and so forth. Breaking it down:

• The first four bits are 0s, which contribute nothing to the total (since 0 times any number is 0).

• The last four bits are 1s. The decimal values of these bits can be calculated as follows:

• 1 in the 2^3 position (8)

• 1 in the 2^2 position (4)

• 1 in the 2^1 position (2)

• 1 in the 2^0 position (1)

Adding these values gives:

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