Localization of faults in radix-n signed digit adders

It is widely known that an adder can be checked by using check symbols that are residues of the numbers modulo some base. This paper extends this characteristic to a radix r signed digit (SD) representation. The confinement of the carry operation can also be exploited to localize the faulty resources in the SD adder and to reconfigure the adder in order to work with a reduced dynamic range. The fault localization procedure is presented in this paper and the reconfiguration the SD adder after the fault localization is discussed