Nand Gate

Introduction to Gates, Nand Gate, Implementation of Nand Gate in Hardware Design Language and Java™.

Gate

A gate is a physical device that implements a Boolean function.

Gates takes input, processes and gives output

Nand Gate

The starting point of Hack computer architecture is Nand Gate, from which all other gates and chips are built. Nand Gate is considered as primitive gate in nand2tetris course. You don't have to worry about its implementation for now.

Abstraction of Nand Gate - Representation and Truth Table

Implementation of Nand Gate in Java™

Unlike nand2tetris, Nand Gate in Java™ is implemented using "And" and "Or" operators.

package CombChips;

import Misc.Convert;

class Nand_Gate {
    
    protected static int Nand(int a, int b) {
        boolean bool_a = Convert.Int2Bool(a);
        boolean bool_b = Convert.Int2Bool(b);

        boolean bool_final = (!bool_a || !bool_b);
        return Convert.Bool2Int(bool_final);
    }
}

One of the best practices in Java™ is to use the most restrictive access level that makes sense for a particular member.

In the above code, initially, the integral values are converted to boolean types using Int2Bool method from Convert class of Misc package. Then, the output of Or(not a, not b) [best way to represent] is returned. In case you're wondering,

Demorgan's law:

NAND = Not AND

NOT(a AND b) = (NOT a) OR (NOT b)

!(a && b) = !a || !b