NEIEP Mechanics Practice Exam

What is the hexadecimal equivalent of the binary number 0010 1111 1001?

1. 2F8

2. 2F9

3. 2FA

4. 2F7

The correct answer is: 2F9

To convert the binary number 0010 1111 1001 to its hexadecimal equivalent, we can follow these steps. First, we will break the binary number into groups of four bits, starting from the right. The binary number is already grouped: 0010 1111 1001. Now, we will convert each group of four bits into its hexadecimal equivalent: - The first group is 1001, which is equal to 9 in hexadecimal. - The second group is 1111, which is equal to F in hexadecimal. - The third group is 0010, which is equal to 2 in hexadecimal. Putting these conversions together from the leftmost group to the right, we have 2F9 as the hexadecimal representation of the entire binary number. The correct answer is therefore 2F9, which signifies that the conversion process has been correctly executed. Each four-bit binary sequence corresponds to a single hexadecimal digit, and this understanding is crucial for successful binary-to-hexadecimal conversions.