Please help writing a code for a calculator that does all the 4 functions and work with GF(2^4) -> Cryptography class C++ . Thank you in advance. I posted this question multiple times and got wrong result from the same person.

Write a simple four-function calculator in GF(2^4) using C++. You may use table lookups for the multiplicative inverses. You may represent elements using binary string format

(that is, x^3 + 1 would be 1001).