High-performance Coprocessors for Arithmetic and Logic Operations of Multi-Bit Cores for Vector and Scalar Supercomputers

The relevance of solving the priority improvement problem for functional and computational components of microelectronics for arithmetic and logic unit (ALU) of modern supercomputers is emphasized. It is shown that in the structures of ALU operations such as: comparison, multiplexing and adding affect the marginal productivity of ALU. It is substantiated that mathematical operations of addition, accumulation of sums, multiplication and division are crucial for ensuring extremely high speed of vector and scalar computers. New algorithms for coding RGB pixels of color images in the theoretical and numerical bases of Rademacher-Crestenson and Haar-Crestenson are proposed. Microelectronic structures of multi-bit ALU coprocessors have been developed, which are characterized by extremely minimal parameters of speed, hardware and structural complexity.