Two novel low complexity dual-mode pulse generator designs suitable for FFs with triggering mode control are presented. The proposed designs successfully integrate XOR/OR (AND/XNOR) functions into a unified pass transistor logic (PTL) module to provide control on single- or double-edge operations. The designs use as few as 8 transistors each and ingeniously avoid the signal degradation problem inherent in most PTL circuits. As the only dual-mode designs so far, the proposed designs also outperform rival single-mode designs in both aspects of circuit complexity and power consumption.

In this paper, we present the division algorithm (DA) for the computation of b=c/a over GF(2m) in two aspects. First, we derive a new formulation for the discrete-time Wiener-Hopf equation (DTWHE) Ab = c in GF(2) over any basis. Symmetry of the matrix A is observed on some special bases and a three-step procedure is developed to solve the symmetric DTWHE. Secondly, we extend a variant of Stein's binary algorithm and propose a novel iterative division algorithm EB*. Owing to its structural simplicity, this algorithm can be mapped onto a systolic array with high speed and low area complexity.

A low power pulse generator design using hybrid logic realization of a 3-input NAND gate is presented. The hybrid logic approach successfully shortens the critical path along the discharging transistor stack and thus reduces the short circuit power consumption during the pulse generation. The combination of pass transistor and full CMOS logic styles in one NAND gate design also helps minimize the required transistor size, which alleviates the loading capacitance of clock tree as well. Simulation results reveal that, compared with prior work, our design can achieve 20.5% and 23% savings respectively in power and circuit area.

A novel signal transition detector design using as few as 8 transistors is presented. The proposed design cleverly exploits the property of a specific internal state transition to mitigate the voltage degradation problem by employing only one extra transistor. It is thus capable of supporting level intact output signals and eliminating DC power consumption in the trailing buffer. The proposed design, featuring low circuit complexity and low power consumption, is considered useful for applications in self-timed circuits. Simulation results show that, when compared with other pass transistor logic based counterpart designs, as much as 46% savings in power and 28% in area can be achieved by the proposed design.