Scientific calculator

An algorithmic calculator

Inspiration

What it does

How we built it

Challenges we ran intoProject: The Algorithmic Calculator

This project involves designing a digital tool capable of executing complex transcendental functions. Unlike basic arithmetic, scientific computing requires the implementation of power series to approximate values that cannot be solved through simple multiplication.

Core Functionality The device uses the Taylor Series to compute trigonometric values. For a given angle x (in radians), the sine function is calculated using the following summation:

sin(x)= n=0 ∑ ∞

(2n+1)! (−1) n

x 2n+1

Technical Components Logic Engine: A Python-based back-end or a C++ firmware for microcontrollers.

Precision Handling: Logarithmic functions are handled using the natural logarithm identity:

log b (x)= ln(b) ln(x)

Display Interface: A liquid crystal display (LCD) or graphical interface to render mathematical notation.

Why this approach? By combining Markdown (to organize the hardware and software hierarchy) with LaTeX (to define the underlying calculus), we ensure the project is both human-readable and mathematically rigorous. This dual-format approach allows a developer to bridge the gap between abstract theory and functional code.

Would you like me to expand the LaTeX section to include more complex formulas, or should I generate a specific hardware wiring list for you?