A possibility of physically and logically reversible processing of digital information in Josephson-junction circuits of a reasonable complexity has been considered. As example, a 8-bit 1024-point fast convolver has been designed on the basis of a two-dimentional quasi-uniform array of

parametric quantrons. This completely reversible conveyer device can operate with the estimated rate of at least

numbers per second, which corresponds to

binary logical operations per second. At this rate the power dissipation in the whole device can still be as low as ∼30nW. A new mode of the parametric quantron operation with larger parameter margins is also described.