A new circuit design of Josephson ternary delta-gate composed of Josep
hson junction devices is presented. Mathematical theory for synthesizi
ng, analyzing, and realizing any given function in ternary system usin
g Josephson ternary delta-gate is introduced. The Josephson ternary de
lta-gate is realized using SQUID technique. Circuit simulation results
using J-SPICE demonstrated the feasibility and the reliability operat
ions of Josephson ternary delta-gate with very high performances for b
oth speed and power consumption (max. propagation delay time=44 ps and
max. power consumption = 2.6 muW). The Josephson ternary delta-gate f
orms a complete set (completeness) with the ternary constants (- 1, 0,
1). The number of SQUIDs that are needed to perform the operation of
delta-gate is 6. Different design with less than 6 SQUIDs is not possi
ble because it can not perform the operation of delta-gate. The advant
ages of Josephson ternary delta-gate compared with different Josephson
logic circuits are as follows: The delta-gate has the property that a
simple realization to any given ternary logic function as the buildin
g blocks can be achieved. The delta-gate has simple construction with
small number of SQUIDs. The delta-gate can realize a large number of t
ernary functions with small number of input/output pins. The performan
ces of delta-gate is very high, very low power consumption and ultra h
igh speed switching operation.