Neuronal pulse computing represents third paradigm along with digital and quantum computing, being based on biologically-inspired way of processing information, i.e., on neurons, which are neural cells in the body of living beings. In this work, pulse computing is presented together with all known circuits so far, for basic mathematical operations – respectively multiplication, addition, division, and subtraction. Furthermore, different formulations of entropy are explained, whereby emphasis is being placed on the concept of entropy budget as an underlying motivation for finding a high-quality deterministic circuit for addition and for demonstration of numerical precisions in calculations. In the results section, we present improved deterministic and nondeterministic addition circuits. In particular, the results of the addition operation itself and relative entropy values were checked. On top of that, the behaviour of the best rated addition circuits was studied to solve quadratic function by combining the selected circuits with the multiplication circuit, which represents the simplest and the most accurate circuit in pulse computing. This demonstrated the application of circuits in pulse computing, together with achieving higher precision, after conducting mathematical operations through seemingly conceptually simple circuits.