Number of Maxterms and Minterms Calculator

✖Number of input variables gives the number of input variables.ⓘ Number of Input Variables [n]

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✖Total Minterms/ Maxterms is defined as the total number of SOP or POS terms in an boolean expression.ⓘ Number of Maxterms and Minterms [N_τ]

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Number of Maxterms and Minterms

Formula

`"N"_{"τ"} = 2^"n"`

Example

`"2048"=2^"11"`

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Number of Maxterms and Minterms Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Minterms/ Maxterms = 2^Number of Input Variables
N_τ = 2^n
This formula uses 2 Variables

Variables Used

Total Minterms/ Maxterms - Total Minterms/ Maxterms is defined as the total number of SOP or POS terms in an boolean expression.
Number of Input Variables - Number of input variables gives the number of input variables.

STEP 1: Convert Input(s) to Base Unit

Number of Input Variables: 11 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_τ = 2^n --> 2^11

Evaluating ... ...

N_τ = 2048

STEP 3: Convert Result to Output's Unit

2048 --> No Conversion Required

FINAL ANSWER

2048 <-- Total Minterms/ Maxterms

(Calculation completed in 00.004 seconds)

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< 15 Circuit Graph Theory Calculators

Average Path Length between Connected Nodes

Go Average Path Length = ln(Nodes)/ln(Average Degree)

Number of Branches in Forest Graph

Go Forest Graph Branches = Nodes-Forest Graph Components

Number of Branches in any Graph

Go Simple Graph Branches = Simple Graph Links+Nodes-1

Number of Links in any Graph

Go Simple Graph Links = Simple Graph Branches-Nodes+1

Number of Nodes in any Graph

Go Nodes = Simple Graph Branches-Simple Graph Links+1

Average Degree

Go Average Degree = Node Connection Probability*Nodes

Rank for Incidence Matrix using Probability

Go Matrix Rank = Nodes-Node Connection Probability

Number of Branches in Complete Graph

Go Complete Graph Branches = (Nodes*(Nodes-1))/2

Number of Graphs given Nodes

Go Number of Graph = 2^(Nodes*(Nodes-1)/2)

Spanning Tress in Complete Graph

Go Spanning Trees = Nodes^(Nodes-2)

Number of Maxterms and Minterms

Go Total Minterms/ Maxterms = 2^Number of Input Variables

Maximum Number of Edges in Bipartite Graph

Go Bipartite Graph Branches = (Nodes^2)/4

Number of Branches in Wheel Graph

Go Wheel Graph Branches = 2*(Nodes-1)

Rank of Incidence Matrix

Go Matrix Rank = Nodes-1

Rank of Cutset Matrix

Go Matrix Rank = Nodes-1

Number of Maxterms and Minterms Formula

Total Minterms/ Maxterms = 2^Number of Input Variables
N_τ = 2^n

What are Minterms and Maxterms in Boolean Algebra?

A minterm is a Boolean AND function containing exactly one instance of each input variable or its inverse. A maxterm is a Boolean OR function with exactly one instance of each variable or its inverse. For a combinational logic circuit with n input variables, there are 2ⁿ possible minterms and 2ⁿ possible maxterms.

How to Calculate Number of Maxterms and Minterms?

Number of Maxterms and Minterms calculator uses Total Minterms/ Maxterms = 2^Number of Input Variables to calculate the Total Minterms/ Maxterms, The Number of Maxterms and Minterms formula gives the number of maxterms & materms that can be defined for a number of input variables. Total Minterms/ Maxterms is denoted by N_τ symbol.

How to calculate Number of Maxterms and Minterms using this online calculator? To use this online calculator for Number of Maxterms and Minterms, enter Number of Input Variables (n) and hit the calculate button. Here is how the Number of Maxterms and Minterms calculation can be explained with given input values -> 2048 = 2^11.

FAQ

What is Number of Maxterms and Minterms?

The Number of Maxterms and Minterms formula gives the number of maxterms & materms that can be defined for a number of input variables and is represented as N_τ = 2^n or Total Minterms/ Maxterms = 2^Number of Input Variables. Number of input variables gives the number of input variables.

How to calculate Number of Maxterms and Minterms?

The Number of Maxterms and Minterms formula gives the number of maxterms & materms that can be defined for a number of input variables is calculated using Total Minterms/ Maxterms = 2^Number of Input Variables. To calculate Number of Maxterms and Minterms, you need Number of Input Variables (n). With our tool, you need to enter the respective value for Number of Input Variables and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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