Below is a sketch of a small C++ program to implement simple fixed-size perceptr

Question

Below is a sketch of a small C++ program to implement simple fixed-size perceptrons (three nodes, two edges). It includes a main program that – once the functions are working correctly – will print the truth tables for AND, OR, and NAND! See the sections marked “TODO”. Here is the expected output:

AND:

0 0: 0

0 1: 0

1 0: 0

1 1: 1

OR:

0 0: 0

0 1: 1

1 0: 1

1 1: 1

NAND:

0 0: 1

0 1: 1

1 0: 1

1 1: 0

// Simple perceptron logic gate implementation

#include <ios stream>

using namespace std;

float step_function(float threshold, float value)

{

// TODO

return 0;

}

float run_perceptron(float weightA, float weightB, float valueA, float valueB, float threshold)

{

// TODO

return 0;

}

void show_truth_table(float weightA, float weightB, float threshold)

{

// TODO: call run_perceptron 4 times,

// feeding it all four values of A,B.

}

int main()

{

cout << "AND: ";

show_truth_table(0.4, 0.4, 0.5);

cout << "OR: ";

show_truth_table(0.6, 0.6, 0.5);

// TODO: can you figure out two weights and a threshold

// that will implement "NAND"? This is the opposite of AND.

cout << "NAND: ";

show_truth_table(0,0,0);

return 0;

}

Explanation / Answer

// Simple perceptron logic gate implementation

#include <iostream>

using namespace std;

//function which returns 0 or 1 based on value and threshold
float step_function(float threshold, float value)
{

if (value>threshold)
   return 1;
else
   return 0;

}

// this function returns 0 or 1 based on perceptron result
float run_perceptron(float weightA, float weightB, float valueA, float valueB, float threshold)
{
  
return step_function(threshold, weightA*valueA + weightB*valueB);

//return 0;

}

//Function to pass all possible combinations to run_perceptron
void show_truth_table(float weightA, float weightB, float threshold)
{

cout << "0 0: " << run_perceptron(weightA,weightB,0,0,threshold) << " ";
cout << "0 1: " << run_perceptron(weightA,weightB,0,1,threshold) << " ";
cout << "1 0: " << run_perceptron(weightA,weightB,1,0,threshold) << " ";
cout << "1 1: " << run_perceptron(weightA,weightB,1,1,threshold) << " ";

}

int main()

{

cout << "AND: ";

show_truth_table(0.4, 0.4, 0.5);

cout << "OR: ";

show_truth_table(0.6, 0.6, 0.5);

cout << "NAND: ";

// This function call will generate truth table for NAND
show_truth_table(-0.4,-0.4,-0.5);

return 0;

}

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