A system includes an addressable memory array, one or more processing cores, and an accelerator framework coupled to the addressable memory. The accelerator framework includes a Multiply ACcumulate (MAC) hardware accelerator cluster. The MAC hardware accelerator cluster has a binary-to-residual converter, which, in operation, converts binary inputs to a residual number system. Converting a binary input to the residual number system includes a reduction modulo 2m and a reduction modulo 2m−1, where m is a positive integer. A plurality of MAC hardware accelerators perform modulo 2m multiply-and-accumulate operations and modulo 2m−1 multiply-and-accumulate operations using the converted binary input. A residual-to-binary converter generates a binary output based on the output of the MAC hardware accelerators.