What is the binary equivalent of the hexadecimal number 7F?

The hexadecimal number 7F is composed of two digits: 7 and F. Each hexadecimal digit corresponds directly to a four-digit binary representation.

The value of the hexadecimal digit 7 is equal to the decimal number 7, which can be expressed in binary as 0111. The hexadecimal digit F represents the decimal number 15. In binary, 15 is expressed as 1111.

To find the complete binary equivalent of 7F, you can combine the binary equivalents of each digit. So, 7 becomes 0111, and F becomes 1111. When these two parts are concatenated, the full binary representation of the hexadecimal number 7F is 01111111.

Therefore, the binary equivalent of the hexadecimal number 7F is indeed 01111111, making this the correct answer.