## 6 Experimental Results
\begin{table}
\begin{tabular}{l c c c c c c} \hline \hline
**Benchmark** & **Auto** & **One-Hot** & **JEDI** & _PTY_ & **Our Approach** & **Complexity** \\ \hline bbara & 0.961 & 0.961 & 0.880 & 0.898 & 0.911 & C1 \\ bbsse & 2.651 & 1.637 & 2.144 & 2.228 & 2.243 & C1 \\ bbtas & 0.900 & 0.900 & 0.900 & 0.923 & 0.923 & C0 \\ beecount & 2.011 & 2.011 & 1.401 & 1.489 & 1.497 & C1 \\ cse & 1.389 & 1.450 & 1.322 & 1.346 & 1.362 & C1 \\ dk14 & 3.339 & 3.710 & 3.332 & 3.341 & 3.368 & C1 \\ dk15 & 1.783 & 2.285 & 1.779 & 1.772 & 1.788 & C1 \\ dk16 & 3.334 & 3.109 & 2.879 & 2.881 & 2.895 & C1 \\ dk17 & 2.268 & 2.302 & 2.258 & 2.286 & 2.286 & C0 \\ dk27 & 1.524 & 1.210 & 1.514 & 1.539 & 1.539 & C0 \\ dk512 & 1.852 & 1.852 & 1.701 & 1.743 & 1.743 & C0 \\ confine & 1.076 & 1.076 & 0.970 & 0.992 & 1.034 & C1 \\ ex1 & 4.564 & 3.430 & 2.804 & 2.612 & 2.688 & C2 \\ ex2 & 0.735 & 0.753 & 0.709 & 0.698 & 0.712 & C1 \\ ex3 & 0.758 & 0.758 & 0.758 & 0.798 & 0.798 & C0 \\ ex4 & 1.980 & 1.659 & 1.605 & 1.625 & 1.641 & C1 \\ ex5 & 0.754 & 0.754 & 0.752 & 0.775 & 0.775 & C0 \\ ex6 & 2.675 & 4.256 & 2.648 & 2.673 & 2.691 & C1 \\ ex7 & 1.359 & 1.548 & 1.361 & 1.382 & 1.412 & C1 \\ keyb & 1.524 & 1.502 & 1.506 & 1.528 & 1.541 & C1 \\ kirkman & 2.204 & 2.355 & 1.950 & 1.854 & 1.892 & C2 \\ lion & 0.909 & 0.996 & 0.914 & 0.953 & 0.953 & C0 \\ lion9 & 1.100 & 1.337 & 1.095 & 1.112 & 1.112 & C0 \\ mark1 & 1.851 & 1.851 & 1.633 & 1.661 & 1.683 & C1 \\ mc & 0.827 & 0.941 & 0.823 & 0.863 & 0.863 & C0 \\ modulo12 & 0.915 & 0.915 & 0.919 & 0.941 & 0.941 & C0 \\ opus & 1.750 & 1.750 & 1.689 & 1.708 & 1.734 & C1 \\ planet & 4.553 & 4.553 & 2.887 & 2.914 & 3.121 & C2 \\ planet1 & 4.553 & 4.553 & 2.887 & 2.914 & 3.121 & C2 \\ pma & 1.818 & 1.818 & 1.701 & 1.726 & 1.747 & C2 \\ s1 & 3.133 & 3.578 & 2.966 & 3.089 & 3.118 & C2 \\ s1488 & 4.430 & 4.544 & 3.996 & 4.001 & 4.108 & C2 \\ s1494 & 3.527 & 3.626 & 3.430 & 3.523 & 3.596 & C2 \\ s1a & 1.770 & 2.458 & 1.656 & 1.672 & 1.689 & C2 \\ s208 & 1.858 & 3.311 & 1.740 & 1.769 & 1.784 & C2 \\ s27 & 1.148 & 2.342 & 1.157 & 1.164 & 1.183 & C1 \\ s386 & 1.682 & 1.824 & 1.552 & 1.571 & 1.593 & C1 \\ s420 & 1.960 & 3.443 & 1.909 & 1.812 & 1.861 & C4 \\ s510 & 2.166 & 2.166 & 1.714 & 1.643 & 1.685 & C4 \\ s820 & 1.128 & 1.197 & 1.124 & 1.142 & 1.151 & C1 \\ s832 & 2.662 & 2.409 & 2.071 & 1.915 & 1.932 & C4 \\ s840 & 2.704 & 2.695 & 2.436 & 2.264 & 2.283 & C4 \\ sand & 1.640 & 1.640 & 1.479 & 1.421 & 1.443 & C3 \\ shiftreg & 0.879 & 0.959 & 0.868 & 0.899 & 0.899 & C0 \\ sse & 1.651 & 1.727 & 1.520 & 1.543 & 1.561 & C1 \\ styr & 4.506 & 5.233 & 3.649 & 3.721 & 3.751 & C2 \\ tma & 2.020 & 1.745 & 1.752 & 1.781 & 1.803 & C2 \\ \hline
**Sum** & 96.78 & 103.13 & 84.74 & 85.11 & 86.45 & \\ \hline
**Percentage, \%** & 111.95 & 119.29 & 98.02 & 98.44 & 100.00 & \\ \hline \hline \end{tabular}
\end{table} 
Table 10: Experimental results (consumed power in watts). required FPGA chip area) than they do in their single-core counterparts based on twofold state assignment. For rather simple FSMs, \(P_{T}Y\) FSMs have better temporal characteristics. However, as the complexity increases, the cycle times (and maximum operating frequencies) of \(P_{2T}Y\) FSMs gradually become better than in their single-core counterparts. The FSM circuits based on the proposed method always require more power. However, this loss is very small (it does not exceed 2% on average). This comparison leads to the following conclusion: \(P_{2T}Y\) FSMs should be used instead of \(P_{T}Y\) FSMs if the required chip area is the main optimality criterion of designed LUT-based circuits. This conclusion is supported by diagrams shown in Figure 12.  
Under certain conditions, the proposed method can be applied to implement the LUT-based circuit of any sequential block. In this case, neither the algorithm for the functioning of this block nor the scope of the digital system in which this block operates is important. The possibility of applying the model of \(P_{2T}Y\) FSM depends on the distribution of inputs \(i_{l}\in I\) between the states \(s_{m}\in S\).