Question

Convert 11111111 from binary to hexadecimal. Show your work.

Answer 1

The binary number 11111111 is converted into the hexadecimal number FF by grouping the binary digits into sets of four and converting each group to its hexadecimal equivalent (1111 converts to F).

Step-by-step explanation:

To convert the binary number 11111111 to hexadecimal, we need to group the binary digits in sets of four, since each hexadecimal digit represents four binary digits. Starting from the right, the binary number can be divided into two groups: 1111 1111. Now we can convert each group into its hexadecimal equivalent.

The binary group 1111 converts to the hexadecimal digit F. Therefore, both groups of 1111 in the binary number will convert to FF in hexadecimal. So, the binary number 11111111 in hexadecimal is FF.