Enter the minterm numbers.

F= ∑

2-Var

3-Var

4-Var

5-Var

The truth table of F = ∑(2, 3, 5, 6, 7, 14) is illustrated below.

SOLUTION

The function has 4 variables. Find the 4-bit binary equivalents of the minterm numbers.

2₁₀ = 0010₂
3₁₀ = 0011₂
5₁₀ = 0101₂
6₁₀ = 0110₂
7₁₀ = 0111₂
14₁₀ = 1110₂

Write a value of 1 for the rows corresponding to the binary variable values above and a value of 0 for the others.

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INFORMATION

Minterm numbers indicate the locations of 1s in the truth table. Converting a minterm number to binary reveals the values of variables in the row with F = 1 in the truth table. For instance, in a 4-variable function with variables A, B, C, and D, if the minterm list includes the number 5, it implies that the row in the truth table corresponding to the variable values (A, B, C, D) = (0, 1, 0, 1) is 1. This is because the binary representation of 5 is 101 and the same number can be written as 0101 in 4-bits. Each bit in this representation corresponds to the value of one variable in the truth table.

INPUT FORMAT

Enter the minterms separated by commas or spaces.

WHAT IS MINTERM TO TRUTH TABLE CONVERTER?

Minterm to truth table converter,

Constructs truth table based on the entered minterm numbers and
Shows all solution steps.

HOW TO USE THE MINTERM TO TRUTH TABLE CONVERTER?

Minterm to truth table converter can be used in two ways.

USER INPUTS

You can enter the minterm numbers to the input box and click on the "CONVERT" button. The result and explanations appaer below the calculator.
RANDOM INPUTS

You can click on the DIE ICON next to the input box. If you use this property, a set of minterm numbers are generated and entered to the calculator, automatically. The result and explanations appaer below the calculator. You can create your own examples and practice using this property.
SELECTING THE NUMBER OF VARIABLES

The number of variables are automatically set to a number based on the entered minterms. You can select the number of variables manually by clicking on the corresponding radio button under the input box.
CLEARING THE INPUT BOX

To find the truth tables corresponding to some other minterm numbers, you can clear the input box by clicking on the CLEAR button.
COPYING & DOWNLOADING THE SOLUTION
- You can copy the generated solution by clicking on the "Copy Text" link, appaers under the solution panel.
- Even you can download the solution as an image file with .jpg extension if you click on the "Download Solution" link at the bottom of the solution panel. You can share the downloaded image file.