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We present a catalog of 1147 candidate common proper motion binaries selectedfrom the revised New Luyten Two-Tenths Catalog. Among these, we identify 999genuine physical pairs using the measured proper-motion difference and therelative positions of each binary's components on a reduced proper-motion (RPM)diagram. The RPM positions also serve to classify them as either diskmain-sequence (801), halo subdwarf (116), or pairs containing at least onewhite dwarf (82). The disk and halo samples are complete to separations of\theta=500" and \theta=900", which correspond to ~0.1 pc and ~1 pc,respectively. At wide separations, both distributions are well described bysingle power laws, dN/d\theta ~ \theta^{-\alpha}: \alpha=1.67+-0.07 for thedisk and \alpha=1.55+-0.10 for the halo. The fact that these distributions havesimilar slopes (and similar normalizations as well) argues for similarity ofthe star-formation conditions of these two populations. The fact that the halobinaries obey a single power law out to ~1 pc permits strong constraints onhalo dark-matter candidates. At somewhat closer separations (10"<\theta<25"),the disk distribution shows a pronounced flattening, which is detected at veryhigh statistical significance and is not due to any obvious systematic effect.We also present a list of 11 previously unknown halo stars with parallaxes thatare recognized here as companions of Hipparcos stars.Comment: 56 pages, 16 figures; replaced with version accepted for publication  in Ap

Disk and Halo Wide Binaries from the Revised Luyten Catalog: Probes of Star Formation and MACHO Dark Matter