Electronics · Circuit Math
Voltage Divider Calculator
Set any three values — input voltage, R1, R2 or output voltage — the fourth solves live.
Unloaded-divider estimate — connecting a real load in parallel with R2 will pull Vout down.
Anomaly Detection: Finding Outliers in Your Data
Master anomaly detection from first principles. Learn Isolation Forest, Local Outlier Factor, One-Class SVM, statistical methods, and PCA reconstruction error — with complete Python implementations.
Implementing PCA for Data Visualization
Learn to implement PCA for visualization in Python. Compare PCA with t-SNE and UMAP, create biplots, visualize explained variance, plot reconstruction, and apply to images and text data.
Understanding Eigenvalues and Eigenvectors in PCA
Understand eigenvalues and eigenvectors from scratch with geometric intuition and Python code. Learn how they power PCA, what they mean, and how to compute them — no linear algebra background required.
Principal Component Analysis: Reducing Dimensionality
Master PCA from first principles. Learn variance, covariance, eigenvectors, principal components, variance explained, and how to use PCA for preprocessing and visualization in Python.
DBSCAN: Density-Based Clustering for Complex Shapes
Master DBSCAN from first principles. Learn core points, border points, noise, epsilon and min_samples tuning, comparison with K-Means, and Python implementation with scikit-learn.
What is a Clock Signal and Why Does Digital Electronics Need It?
Understand clock signals in digital electronics — why they're needed, how they work, oscillator types, clock distribution, frequency vs speed, jitter, duty cycle, and practical circuit examples.
Understanding Shift Registers: Moving Data in Series
Master shift registers completely — SIPO, PISO, SISO, PIPO configurations, 74HC595, 74HC165, serial-to-parallel conversion, LED driving, SPI interfacing, and practical microcontroller design examples.
Building a Simple Counter Circuit with Flip-Flops
Learn how to build digital counter circuits with flip-flops from scratch. Complete guide covering 2-bit and 4-bit ripple counters, synchronous counters, 74HC74 wiring, LED displays, and practical design examples.
D Flip-Flops: Synchronized Data Storage
Master D flip-flops completely — edge triggering, master-slave construction, setup/hold times, metastability, pipeline registers, shift registers, and synchronous design with full practical examples.
SR Latches Explained: The Simplest Form of Memory
Master SR latches completely — NOR and NAND implementations, truth tables, forbidden states, timing analysis, switch debounce circuits, and practical applications with full design examples.
The Curiously Recurring Template Pattern (CRTP)
Master the CRTP in C++ — learn static polymorphism, mixin classes, compile-time interface enforcement, and how CRTP eliminates virtual function overhead with clear examples.
Placement New and Memory Pools
Master C++ placement new — learn how to construct objects in pre-allocated memory, build memory pools, manage object lifetimes manually, and avoid common pitfalls.
Custom Memory Allocators in C++
Learn C++ custom memory allocators — why the default allocator is slow for some workloads, how to write STL-compatible allocators, pool allocators, arena allocators, and when to use each.
Understanding the C++ Memory Model
Master the C++ memory model — learn happens-before, sequentially consistent execution, data races, memory ordering, and why your multithreaded code needs more than just atomics.
Atomic Operations in C++: Lock-Free Programming
Master C++ atomic operations — learn std::atomic, memory orders, compare-exchange, lock-free data structures, and when atomics beat mutexes for performance.
What Is a Microcontroller and How Is It Different from a Computer?
Learn what a microcontroller is and how it differs from a computer. Understand CPU, memory, I/O pins, real-time control, and which to use in your robot project.
Basic Soldering for Robotics: Creating Reliable Connections
Learn basic soldering for robotics—choose the right iron and solder, master the perfect joint technique, fix common mistakes, and solder headers, wires, and perfboard safely.
From Breadboard to Permanent Circuit: Next Steps in Robot Building
Learn how to move robot circuits from breadboard to permanent form—compare perfboard, stripboard, terminal blocks, and custom PCBs with step-by-step guidance.
Understanding Breadboards: Your Temporary Circuit Testing Space
Master breadboard use for robotics—learn internal connections, power rails, component placement, common mistakes, and how to prototype circuits reliably before soldering.
What Are Pull-Up and Pull-Down Resistors and When Do You Need Them?
Learn what pull-up and pull-down resistors do in robotics—understand floating inputs, how to choose resistor values, internal pull-ups, and I2C wiring requirements.
