Law Computing, Inc. Law Computing, Inc. : We assist law firms with all computer, network and server related service and support. We are the Chicago legal community's leading provider of IT service and support including case management, network maintainence, workstation integration, and end-user support services. We are located in the Bell Federal Savings Building at 79 West Monroe, Chicago, IL 60603 in the heart of the Chicago Loop. Attorneycomputing.com~Site InfoWhoisTrace RouteRBL Check