The Truth Table is used to represent all the possible combinations of I/Os of a particular boolean expression. The Truth Tables help programmers and electronics engineers determine if the logic argument’s structure is valid or not. You have learned how to make a Truth Table from a boolean expression during your college studies. The longer the Boolean Expression is, the more complicated is the formation of the Truth Table. In this article, we have listed the 10 best free online Truth Table Generator tools or websites. Using these online tools or websites, you can generate Truth Tables of simple to complex Boolean Expressions with a single click. Whether you are an engineering student or a working professional, these free tools will help you a lot.
Types of Logic Gates and Truth Tables
Before we start talking about the best free online Truth Table Generator tools or websites, let’s recall some basics of Logic Gates. There are 7 different types of Logic gates, namely, AND, OR, NOT, NAND, NOR, XOR, and XNOR.
- AND, OR, and NOT Logic Gates are the basic Logic gates.
- NAND and NOR are the Universal Logic Gates.
- XOR and XNOR are the Exclusive OR and Exclusive NOR Logic Gates.
Let’ see the Boolean Expressions and the Truth Tables of these 7 Logic Gates.
The Boolean Expression of AND Gate is represented by a dot (.).
The Boolean Expression of OR Gate is represented by the plus (+) sign.
The NOT Gate is also called Inverter. It inverts the output. The Boolean Expression of NOT Gate is represented by a Bar symbol over the alphabet.
NAND Gate is the inverter of the AND Gate. This means it generates the output just opposite to the AND Gate. The Boolean Expression of the NAND Gate is represented by a bar over the output.
NOR Gate is the inverter of the OR Gate because it generates the output just opposite to the OR Gate. Its Boolean Expression is represented by a bar over the output.
XOR Gate is the Exclusive OR Gate. Its Boolean Expression is represented by a plus symbol inside a circle.
XNOR is the Exclusive NOR Gate. Its Boolean Expression is represented by a dot inside a circle or a bar over the XOR Gate output.
10 Best Free Online Truth Table Generator Tools or Websites
Let’s start our discussion on the 10 best free online Truth Table Maker websites or tools.
Truth Table Generator from Truth Table Maker
Truth Table Generator from truthtablemaker.com is a simple Truth Table Maker online tool. They have explained the steps to use the tool on their website so that users do not face any difficulty while generating the Truth Table. After visiting the website, you simply have to type the logical expression in the search box and then click on the Get Truth Table button. The website will then display the Truth Table.
Truth Table Generator
Truth Table Generator is another free online tool to make Truth Tables. After visiting its official website, you will see that they have explained how to type your logical expression to generate the Truth Table. You can either use the special characters described on the website for the Logic Gates or use the name of the Logic Gates to generate the Truth Table. The below example will help you understand it more clearly.
Let’s say, you want to generate the Truth Table for A and B, you can write the formula in the following three ways:
- A ^ B
- A & B
- A and B
On the website, you will find the special characters for only four Logic Gates, AND, OR, NOT, and XOR. So, if you want to generate the Truth Table for other Gates, say, NAND Gate, you have to use the NOT function in your expression. So, your expression for A NAND B will look like this:
~(A and B)
In the above expression, first, the AND logic will be executed. After that, the output of the AND logic will be inverted to give the final output.
WolframAlpha Truth Table Generator
WolframAlpha Truth Table Generator is the simplest online tool to make Truth Tables. This tool does not require the expression to be entered with special characters. Simply type the name of the Logic Gate and hit the Enter key. After that, the tool will generate the Truth Table for your typed expression.
For example, if you want to generate the Truth Table for a two-input XOR Gate, you can type the expression for the XOR Gate in the following two ways:
- A XOR B
- NOT A AND B OR A AND NOT B
You will get the same result because both the above expressions are two different ways to represent the output of the XOR Gate.
Stanford Truth Table Generator
Stanford Truth Table Generator is one more free online tool to make Truth Tables. Like other Truth Table Maker tools on this list, this one is also easy to use. After visiting its official website, you simply have to enter the logical expression in the required field. As you start typing the logical expression, the tool starts generating the Truth Table.
It only accepts the special characters as input. Therefore, to use this tool, you have to know which special character represents which Logic Gate. For your convenience, we have listed the special characters below:
- ^ – AND Gate
- ! – NOT Gate
- ∨ – OR Gate
There is no special character for NAND, NOR, XOR, and XNOR Gates. As you know that all Logic Gates are formed from the basic Gates. Therefore, you have to use only these three special characters for Universal and Exclusive Logic Gates.
Let’s take the example of XOR Gate. The logical expression that represents the XOR Gate is
Truth Table Generator by Michael Rieppel
The Truth Table Generator by Michael Rieppel generates the Truth Tables in the following four types:
- Full Table
- Main Connective Only
- Text Table
- LaTex Table
The procedure to generate Truth Tables using this free online tool is similar to the other tools that we have described in this article. You simply have to type your logical expression or formula in the field provided on the website and then click on the Generate Table button.
You have to use only special characters in your logical expression. Which symbol represents which Logic Gate is given on the website. They have not used the names of the Logic Gates. Instead, they have used the terms negation, conjunction, and disjunction. These terms represent the following Logic gates:
- Negation – NOT Gate
- Conjunction – AND Gate
- Disjunction – OR Gate
Truth Table Calculator
Truth Table Calculator comes with some additional features. When you land on its official website, you will see a table of symbols showing the symbols representing the Logic Gates. You have to use only those symbols in your formula to generate a Truth Table without any error.
It also has some pre-loaded examples of equations. You can load these examples by clicking on the Load Example button. After entering your equation, click on the Calculate button and you will get your result.
The Truth Table Calculator lets you copy the generated Truth Table in text format, download it as a PDF, and take its printout.
Mathematical logic step by step
The interface of Mathematical logic step by step Truth Table Generator is similar to a calculator. You can type a logical expression either by using your keyboard or by clicking on the keys embedded on the website. After typing your logical expression, simply click on the Calculate button and you will get your result within a while.
Mathematical logic step by step also has an XOR Gate button. You can see this button if your logical expression includes the implementation of the XOR Gate.
The following symbols represent the following Logic Gates:
- ^ – AND Gate
- ¬ – NOT Gate
- ∨ – OR Gate
- ⊕ – XOR Gate
eMath Truth Table Calculator
The eMath Truth Table Calculator is also similar to the other Truth Table Maker tools and websites described in this article. The best part of this free tool is that it comes with all seven Logic Gates. Therefore, to type your expression, you simply have to click on the respective Logic Gate button on the website.
One more additional feature that this tool offers is the Full table. If you enable this feature, you will get a detailed Truth Table (step by step) in your result. This will help you understand the final result easily.
LogicTown Truth Table Generator
LogicTown Truth Table Generator is the only website on this list where you can learn the logic in addition to generating the Truth Tables. After visiting the website, scroll down to the bottom. There, you will see the Lesson button. Clicking on this button will open a list of different lessons that will help you learn about Logic Gates from the basics.
On the website, you can either type the entire logical statement using your keyboard or use the embedded buttons to write the logical expression. Here, you can also generate the Truth Tables for more than one Logic Gate. For this, separate the expressions with commas. When you are done, click on the Generate Truth Table button.
Truth Table Generator by Curtis Bright
Last but not least. Truth Table Generator by Curtis Bright, a free online tool to make Truth Tables can generate the output in three different types:
When you visit the website, you will see a Usage Notes section. Under this section, they have explained how to use this free tool to generate the Truth Tables. Like most Truth Table Maker tools on this list, this one also accepts only the special characters for Logic Gates. You can read the Usage Notes section to know which special character represents which Logic Gate.
Type your formula in the required field and then click on the Submit button. After that, you will get your result in the format you have selected.
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Related post: Best Free Online Logic Gate Simulator Tools.