How does etching a specific pattern on a piece of silicon make it do math?
I’m probably wrong on this assumption, please correct me it that’s true.
In: Technology
reading your answer to the other comments makes me think you want a deeper understanding of the mechanics, so this will go a little beyond eli5.
silicon is a semiconductor, this means it is sorta a conductor, but also sorta not. a pure silicon crystal is an insulator, but if you add a small amount of phosphorus or boron to the crystal, it be comes conductive, but in different ways. this is called “doping” and makes 2 different types of conductive silicon crystal n type (negativly charged) and p type (positivly charged). doping is localized and is done by laying down a mask chemical, etching it away where you want doping to happen, washing the wafer with the doping agent, then washing away the mask. this makes a pattern of a specific crystal structure.
if you put a bit of n type next to p type, electricity can only flow 1 way through it since one is negatively charged, and one is positively charged. this makes a diode.
if you take 2 n type sections, and put a very small p type section between, (or vice versa) you get a component that will block electricity flow both ways UNLESS the center section is neutralized by a current. this makes a transistor. there are 2 types of transistors pnp and npn, pnp requires the center to be grounded for electricity to flow, and npn requires the center to be powered.
using transistors you can turn on and off an electrical flow based on another electrical flow. you can use this to make logic gates like AND which turns on if both inputs are on, just link 2 transistors in series so current has to go through both.
with AND, OR (you get OR for free with electricity, just join 2 conductors together), and NOT (pnp transistor by its self) you can build a thing called a full adder which lets you add 2 binary digits (bits) togeter and can both accept and produce a carry bit (so 1+1= carry 1, result 0). full adders can be chained to add numbers as long as you want, and you can do a similar circut for multiplying.
https://www.geeksforgeeks.org/full-adder-in-digital-logic/
The ELI5 version of this is that computers are rune magic created by inscribing runes in crystals using sunlight, and then using alchemy and taim lightning to make it think, but I think you already know that part.
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