George Boole pioneered a mathematical concept known as Boolean expressions, or B

Question

George Boole pioneered a mathematical concept known as Boolean expressions, or Boolean algebra. Four of the basic Boolean operation are the AND, the OR, the XOR, and the NOT operations. Programs use these operations to evaluate the relationship between variables and make decisions based on those relationships. Comparing two or more variables, bitwise, results in either a True (1) or False (0) outcome.

Bitwise operations

Python operator

Example

AND

&

n & m

OR

|

a | b

XOR

^

e ^ f

Table 1 - Python Operators

to display a number

function

Example

in binary

bin(x)

bin(5) = 0b101

In hexadecimal

0x%x

‘0x%x’ %46 = 0x2e

Table 2 - Number Conversions

Boot up the Raspberry Pi (RPi).

Open IDLE.

Enter the program below.

Name = ‘Put Your Name Here’

Class= ‘ECT109’

Assignment = ‘Week 4 Lab 2’

#------------------------------------------------------------------

# Boolean bitwise AND operator

#------------------------------------------------------------------

print Name

print Class

print Assignment

print

print 'AND operator'

n = input(‘Enter 1st Number: ‘)

m = input(‘Enter 2nd Number: ‘)

print n, bin(n), '0x%x' % n

print m, bin(m), '0x%x' % m

x = n & m

print n, 'AND', m, ' = ', x, bin(x), '0x%x' % x

print

This Python program will perform the AND bitwise operator. Your assignment is to add to the above program the OR and XOR bitwise operators.

Verify your results.

Bitwise operations

Python operator

Example

AND

&

n & m

OR

|

a | b

XOR

^

e ^ f

Explanation / Answer

#------------------------------------------------------------------

# Boolean bitwise XOR operator

#------------------------------------------------------------------

print Name

print Class

print Assignment

print

print 'XOR operator'

n = input(‘Enter 1st Number: ‘)

m = input(‘Enter 2nd Number: ‘)

print n, bin(n), '0x%x' % n

print m, bin(m), '0x%x' % m

x = n ^ m

print n, 'XOR', m, ' = ', x, bin(x), '0x%x' % x

print

#------------------------------------------------------------------

# Boolean bitwise OR operator

#------------------------------------------------------------------

print Name

print Class

print Assignment

print

print 'OR operator'

n = input(‘Enter 1st Number: ‘)

m = input(‘Enter 2nd Number: ‘)

print n, bin(n), '0x%x' % n

print m, bin(m), '0x%x' % m

x = n | m

print n, 'OR', m, ' = ', x, bin(x), '0x%x' % x

print

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