We present single-bit Monte Carlo simulations of the domain coarsening
of a two dimensional binary system of size 1280 x 1280 from a quench
at T = infinity to below the critical temperature T-c with emphasis on
cluster distributions and correlations. We study both the conserved o
rder parameter and the non-conserved order parameter. We measure the e
volution of the mean cluster size and obtain both the distribution of
cluster sizes and the correlations between clusters. Our results are c
ompatible with recent experiments on Ostwald Ripening and numerical so
lutions of the Cahn-Hilliard equation.