Top view of slit and channel hole at different nodes (Courtesy: TechInsights) Driven by Moore’s law, memory and logic semiconductor manufacturers pursue higher transistor density to improve product cost and performance. Here are a number of highest rated Xor From Nand pictures upon internet. Perform design-rule-checks (DRC) and a layout-vs. And when your code works the first time around, thank a NAND gate.Nand layout. If you've ever heard of 3D NAND, you now know what that NAND stands for. It just so happens that in real-world computer chips NAND is one of the easiest things to build. (One way to become better is seeing examples, like this). The better we become at this skill, the better programmers we become. Many, many things in the business of software development see drastic improvements from transforming the physical operations while keeping logical equivalence. Because while they are logically equivalent they are not operationally equivalent one of them will finish faster when a physical computer executes the sort. What is the difference between a Bubble Sort and a Quick Sort? They will both give an equally sorted output after all. Why should I care? Problem Transformations Solve Problems This is for your edification and education. but please don't write all your booleans using only NANDs. If you accept that AND, OR, and NOT are functionally complete, since NAND can build each of those three things, NAND, all by itself, is functionally complete! _(We just did DeMorgan's Theorem a_ very cool trick for making boolean code more readable but we'll talk more about that later) NAND is all you need

We'll finish out our code examples: const or = ( x, y) => nand(nand(x, x), nand(y, y)) Look at NAND's truth table where both inputs are the same:ĭoes that pattern look familiar? If we NOT our inputs first (using the same NAND as NOT trick) and put those as the inputs to our NAND, we'll get an OR! In JavaScript, if we had a nand(x, y) function, we could make not() like this: const not = ( x) => nand(x, x) Notice how this new operator constantly outputs until an input is received and then it stops (aka NOT logic). What would happen if instead of two inputs, we tied them both together as one input? You've seen the animation of a NAND in a Wireworld above (NAND-imation anyone?).

What if I told you we need only one operator to be functionally complete? That's right! All you need is NAND (short for Not AND !(x & y)). Combined with some sort of memory, functionally complete operators can be used to build a turing complete system. Together these operators are functionally complete, meaning they can be used to build any boolean logic. If you've spent any time programming, you may recognize the 'big three' boolean operators: AND, OR, and NOT (often written &, ||, ! in many programming languages). All animations courtesy of my Wireworld built in Svelte

X nand y nand x nand y