In recent years, reversible circuits have attracted the attention of many researchers. Their applications include the design of low-power digital circuits, the design of computational circuits in quantum computers and DNA-based calculations. In this paper, an effective 5 × 5 reversible block, called new block (NB), is first proposed, and then, using the proposed reversible block, a novel reversible T flip-flop is designed. Moreover, we have used Miller synthesis method for calculating the optimal quantum cost of the proposed block. Finally, using the proposed T flip-flop, Feynman gate (FG), Fredkin gate (FRG), Reversible Multiplexer1 (RMUX1) and Modified Toffoli gate (MTG), two reversible synchronous counters including up/down and BCD are suggested. The comparison results show that the proposed up/down counters are superior to the previous designs in terms of parameters such as gate count, constant input, garbage output, quantum cost, and delay.

近年来，可逆电路吸引了许多研究人员的注意力。它们的应用包括低功耗数字电路的设计，量子计算机中的计算电路的设计以及基于DNA的计算。本文首先提出了一种有效的5×5可逆模块，称为新模块（NB），然后，利用所提出的可逆模块，设计了一种新颖的可逆T型触发器。此外，我们已经使用米勒合成方法来计算所提出的区块的最佳量子成本。最后，使用建议的T型触发器，Feynman门（FG），Fredkin门（FRG），可逆多路复用器1（RMUX1）和Modified Toffoli门（MTG），建议了两个可逆同步计数器，包括向上/向下和BCD。