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Logic Gates Exercises: Learning objectives Truth Tables for Logic Gates Example: NOT Gate Exercise: AND Gate and OR Gate AND Gate with 2 NAND gates OR Gate with 3 NAND gates XOR Gate Delays in Logic Gates Half Adder, Full Adder, 4-bit Adder Building an 8-bit Adder from Two 4-bit Adders 4-bit Subtractor Choosing Between Addition and Subtraction D-Latch D Flip-Flop Clock-Controlled Counter

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Truth Tables for Logic Gates

First, complete the truth table for a NAND gate:

Background

A NAND gate (logical NOT-AND, symbol: \(\barwedge\)) can be used as a basic building block to construct all other logic gates. This property is not only mathematically significant but also practical, as a NAND gate is sufficient to realize a variety of logic functions.

Example: NOT Gate

First, verify if the truth table for \(A \barwedge A\) is correctly filled out and if the expression is thus equivalent to the logical negation of \(A\). Then implement the expression as shown in CircuitVerse.

Exercise: AND Gate and OR Gate

Fill out the truth table for the given expressions for the following logic gates. Then implement the expressions in CircuitVerse:

AND Gate with 2 NAND gates

OR Gate with 3 NAND gates