Mathematical and Digital Methods Used in the Gardener Firmware

Abstract

The article describes the mathematical and digital methods used in the Gardener firmware from an embedded-system point of view. The goal is not to present a new mathematical theory, but to define how measured values, bitmasks, resources, normalized sensor data, recipe deviations, consumption, carbon footprint and economic indicators are represented in a reproducible way. The method combines deterministic integer encoding, binary floating-point interpretation, weighted aggregation, threshold comparison, time-based accumulation and basic statistical evaluation. The result is a firmware-oriented model that can store heterogeneous sensor and process data in the same digital format while keeping a clear path back to engineering units and business indicators.