Logical Operators

Theory

Logical Operators in Python

Sometimes you need to check multiple conditions at once. For example: n % 2 == 0 checks if n is even. To check if both n and m are even, combine conditions with the logical and:

n % 2 == 0 and m % 2 == 0

Logical operators in Python

Operator Meaning Returns True if… Example
and Logical AND both operands are True a > 0 and b > 0
or Logical OR at least one operand is True a > 0 or b > 0
not Logical NOT (negation) the operand is False not (a > 0)

Examples

1) Both numbers are even

n = 4
m = 8
if n % 2 == 0 and m % 2 == 0:
    print("Both are even")

2) At least one number ends with 0

a = 25
b = 40
if a % 10 == 0 or b % 10 == 0:
    print("At least one ends with 0")

3) Positive and non-negative check

a = 5
b = 0
if a > 0 and not (b < 0):
    print("a is positive and b is non-negative")

# Equivalent without 'not'
if a > 0 and b >= 0:
    print("a is positive and b is non-negative")

Truth tables

and operator:

A B A and B
TrueTrueTrue
TrueFalseFalse
FalseTrueFalse
FalseFalseFalse

or operator:

A B A or B
TrueTrueTrue
TrueFalseTrue
FalseTrueTrue
FalseFalseFalse

not operator:

A not A
TrueFalse
FalseTrue

Tips

  • Use parentheses (...) to make complex logic easier to read.
  • Short-circuit evaluation: and stops if the first operand is False, or stops if the first operand is True.
  • not flips the boolean value: not TrueFalse, not FalseTrue.

Quick practice

  1. Check if both entered numbers are positive.
  2. Check if at least one of the numbers is divisible by 5.
  3. Check if a number is not between 10 and 20 (inclusive).
Show sample solutions
# 1) Both positive
a, b = map(int, input().split())
print(a > 0 and b > 0)

# 2) At least one divisible by 5
a, b = map(int, input().split())
print(a % 5 == 0 or b % 5 == 0)

# 3) Not between 10 and 20 inclusive
n = int(input())
print(not (10 <= n <= 20))

Key takeaways: and requires all conditions to be true, or requires at least one, and not reverses the truth value. Combine them to build powerful logical expressions.

Problems

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