Deterministic simulation of the ripple-carry adder circuit responding to various inputs. We plot the output species from each section of the pipeline used to coordinate the output from each adder. The carry-bit output from each adder is represented by \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$A_{abridgeOneOut}, B_{bbridgeOneOut}$$\end{document}AabridgeOneOut,BbbridgeOneOut and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C_{cbridgeOneOut}$$\end{document}CcbridgeOneOut. The output of the C-element (\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$A_{hi},B_{hi},C_{hi}$$\end{document}Ahi,Bhi,Chi) arrives strictly before the output from the adder. The logical input for a is 1 and 0 for the first adder, 1 and 0 for the second adder, and 1 and 0 for the third adder. In b we show the computation on different inputs, namely 1 and 0 for the first adder, 0 and 0 for the second adder, and 1 and 0 for the third adder. The crossover in the concentrations of output species of the C-element and the logical output of 1 (resulting from inputs 0, 1 and carry of 1) in the third adder (plots \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C_{hi}$$\end{document}Chi and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C_{csOneOut}$$\end{document}CcsOneOut) indicates faster convergence but does not affect the results in further stages of the pipeline