Convert the base 16 number FACE16 to Base 2

Sure, here are the steps to convert the hexadecimal (base 16) number FACE16 to binary (base 2):

1. First, break down the hexadecimal number into individual digits: F, A, C, E.

2. Then, convert each hexadecimal digit into its binary equivalent. Here are the binary equivalents for the hexadecimal digits:

   • F (15 in decimal) is 1111 in binary.
   • A (10 in decimal) is 1010 in binary.
   • C (12 in decimal) is 1100 in binary.
   • E (14 in decimal) is 1110 in binary.

3. Finally, combine all the binary equivalents together in the same order: 1111 (for F), 1010 (for A), 1100 (for C), 1110 (for E).

So, the binary equivalent of the hexadecimal number FACE16 is 11111010110011102.