The linear concept of logical synthesis of digital IP-modules of control and communication systems This paper describes a nonclassical approach to the logical synthesis and circuitry designing of digitalIP-modules for computer facilities, control systems and communication. It is based on changing from Boolean algebra by another algebraic structure to the linear algebra. The process of the logical synthesis and circuitry designing of digital devices is described in the offered algebraic structure. The advantages of the considered architectural and circuitry solutions for the synthesis of double-valued and multi-valued digital nodes of different applications in comparison with the double-valued Boolean algebra are demonstrated.