1. An integrated circuit with power conservation comprising: a plurality of functional blocks, each of which includes digital circuitry and at least one output control line, each of said functional blocks including a modulated clock input; and a power controller coupled to said at least one output control line of each of said functional blocks such that said power controller is responsive to a plurality of control lines, said power controller reducing power consumed by selected functional blocks in response to control signals on said plurality of control lines, wherein said power controller comprises a clock controller which provides a plurality of modulated clocks in response to said control signals on said plurality of control lines, wherein said clock controller is coupled to a modulated clock input of each of said functional blocks to provide a modulated clock for each of said functional blocks; wherein at least two of said functional blocks are coupled together as neighboring functional blocks, and wherein both of said neighboring functional blocks include a control line for itself and its neighbor to provide control signals to said clock controller.