The most popular convergent services are being made mostly out of IT related services and devices. To help understand the underlying principles making convergent services the paper suggests a logical view of converging process. A service is assumed to consist of unit services that can be used in algorithmic operations to form a new convergent service. Convergence operations for a couple of unit services are typed according to whether the unit services are modified. Internal convergence leads to a new service from a combination of sub units of the two unit services. External convergences do not alter original unit services but simply combine them to form a new service. The paper also suggests several measurements to evaluate the convergent services with respect to the existing services used to create the new convergent service.