Due to technology scaling, reliability has become one of the biggest challenges in VLSI circuits. A number of techniques have been introduced in the literature, especially for arithmetic and logic unit in computers. One of well-known schemes for fault-tolerant arithmetic is the use of arithmetic residue codes. A key problem with most of the previous works regarding residue-based checker is that these methods impose an unacceptable area penalty. In this paper, we propose a novel residue checker with current mode multi-valued logic (CMMVL). A plain design procedure with arbitrary modulo is introduced; also a more efficient integrated scheme for modulo 3 has been demonstrated. The results of the plain CMMVL scheme showed up to 19.5% and 42.9% lower delay and power consumption, respectively, compared with those of the conventional CMOS. Also, utilizing the integrated CMMVL provided, on average, about 17.7% and 80.2% lower delay and power consumption, respectively.

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Nowadays, the development of technology and the growing need for dense and complex chips have led chip industries to increase their attention on the circuit testability. Also, using the electronic chips in certain industries, such as the space industry, makes the design of fault-tolerant circuits a challenging issue. Coding is one of the most suitable methods for error detection and correction. The residue code, as one of the best choices for error detection aims, is wildly used in large arithmetic circuits such as multiplier and also finds a wide range of applications in processors and digital filters. The modulus value in this technique directly effects on the area overhead parameter. A large area overhead is one of the most important disadvantages especially for testing the small circuits. The purpose of this paper is to study and investigate the best choice for residue code check base that is used for simple and small circuits such as a simple ripple carry adder. The performances are evaluated by applying stuck-at-faults and transition-faults by simulators. The efficiency is defined based on fault coverage and normalized area overhead. The results show that the modulus 3 with 95% efficiency provided the best result. Residue code with this modulus for checking a ripple carry adder, in comparison with a duplex circuit, 30% improves the efficiency.