High-speed Reversible Computer Unit - RCU for calculation of complex functions, the decision of the transcendental equations and systems of the nonlinear equations, and also for data transmission with correction of errors are offered. In RCU unknown earlier Reversible Logic Element - RLE are used. Schemes RLE, the mathematical theory of functioning, algorithms of calculation, technology of their manufacturing, a technique of synthesis of computers on their basis are considered.

RCU are equivalent to combinational computer unit on volume and speed. However the list of combinational computer unit which are realized as RCU, considerably surpasses the list of such devices in traditional execution (on usual logic elements). For example, it is possible to realize combinational computer unit for

	Extraction of the root, including of complex number square root,
	Calculations of all elementary functions, including functions of complex argument,
	CORDIC (COordinate Rotation Digital Computing).

Duration of calculation on these devices is comparable to duration of addition, i.e. decreases in tens times in comparison with traditional devices.

Various manufacturing techniques are possible.

Various variants of cooperation are possible.