The first sketch was written to cheaply interoperate with BASIC’s math libraries, mostly for the random number generator.
While a Pico board doesn’t have the same architecture that allows FM transmission on regular Pi boards, it has a unique feature: PIO. This allows running programs based on a minimal instruction set independent of the CPU at the system clock rate. A simple program (“turn the pin ON, turn the pin OFF”) can then produce a square wave at half the system clock rate. Pico boards could be overclocked at ~200 MHz, allowing a similar carrier frequency, but the exact frequency cannot be controlled by software in any practical way. This rules out clean FM.
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