Redstone in Bedrock behaves subtly differently from Java, so always test in a Bedrock world. Start with the basics: a lever provides constant power, a button gives a pulse, and a redstone torch inverts a signal.
The NOT gate is a torch: power goes in, signal drops out when powered. Chain torches to build the other logic gates.
An AND gate needs two inputs that both must be on. Place repeaters to control signal strength and direction.
An OR gate emits power if either input is on. Bridge two inputs into one line with a 1-block gap.
Master the pulse: a short pulse of 1-2 ticks driven by buttons and observers. Observers detect block state changes — essential for compact circuits in Bedrock.
Practice by building a 3-bit binary counter, then move on to piston doors and item sorters.