  We study a discrete model of the SU(2) Yang-Mills equations on a
combinatorial analog of $\Bbb{R}^4$. Self-dual and anti-self-dual solutions of
discrete Yang-Mills equations are constructed. To obtain these solutions we use
both techniques of a double complex and the quaternionic approach. Interesting
analogies between instanton, anti-instanton solutions of discrete and continual
self-dual, anti-self-dual equations are also discussed.
