Abstract: A crossbar switch is constructed in monolithic integrated circuit form together with respective memory cells controlling each of the component crosspoint switches in the crossbar switch. The memory cells permit control signals for the crosspoint switches to be supplied serially to the monolithic integrated circuit and thus permit those control signals to be supplied in coded form as orthogonal cross addressing for the memory cells. This reduces the number of bits which must be provided in parallel to the integrated circuit for controlling the crosspoint switches. In preferred embodiments of the crossbar switch, provision is made for operation as a corner-turn array for rotating bit matrices and for faster operation as a barrel shifter.