Problem $1$

Simple Boolean logic operations. Assume we have four input data samples $\{(0,0),(0,1),(1,0),(1,1)\}$ to a model.

Perform the followings in Python:

Plot the four input data samples. Label the axes and title as appropriate.

Write a function that takes two arguments as an input and performs AND operation. The function returns the result to the main program.

Write two additional functions like in part $($b$)$; each would perform OR and XOR operations and return the result to the main program.

Create a for loop to call the three functions each for data sample each time.

Store the output of each function in a separate list$/$array$.$

Print out the results for the three functions at the end of your program.

Note: do not use the internal Boolean $($AND$,$ OR$,$ XOR$)$ functions in Python; instead, utilize conditional statements to perform the desired operations.