The Nim Product is used in solving two-dimensional Coin Turning Games.

See "Winning Ways" by Berlekamp, Conway and Guy, or my book "A Course in Game Theory".

Given nonnegative integers, x and y, both less than 256, the program computes the nim product, nimprod(x,y),

See A Computer Program for Nim Multiplication. for programs computing nimprod(x,y) in C and Mathematica.

For example, nimprod(16,255)=2