Skip to content
Logic Calculator
Calculator
Synthesis
Learn
Exercises
Select theme:
System
Select Language:
🇬🇧
English
Menu
Calculator
Synthesis
Learn
Exercises
Theme
Select theme:
System
Language
Select Language:
🇬🇧
English
←
Back to Exercises
0:00
Advanced
Boolean Algebra
Simplification
Simplify the following expression:
A ∧ (A ∨ B)
Logical expression
Insert:
∧ AND
∨ OR
¬ NOT
→ IMPLIES
↔ BICONDITIONAL
⊤ TRUE
⊥ FALSE
(
)
Show Help
Clear
Get Hint
Start Training from Here
Submit
Learn the theory
The guides that explain what this exercise practices.
Logic in Programming
→
Learn how Boolean logic, operators, and logical reasoning are essential to writing code, from control flow and conditionals to program verification and testing.
Introduction to Boolean Algebra
→
Discover the mathematical foundations of Boolean algebra, its laws and theorems, and its applications in digital systems and computer science.
Related Exercises
Difficulty:
Advanced
Category:
Boolean Algebra
Type:
Simplification
Simplify the following expression: !!(A & B)
Difficulty:
Advanced
Category:
Boolean Algebra
Type:
Equivalence Check
Rewrite the following implication using only negation and disjunction: A -> B
Difficulty:
Advanced
Category:
Boolean Algebra
Type:
Simplification
Simplify the following expression using the consensus theorem: (A & B) | (!A &…
Difficulty:
Advanced
Category:
Boolean Algebra
Type:
Simplification
Simplify the following expression: (A & B) | (A & !B)
←
Previous
Simplify the following expression by applying the distributive law: A | (B & C)
Difficulty:
Advanced
Category:
Boolean Algebra
Type:
Simplification
Next
→
Simplify the following expression: !(A | B | C)
Difficulty:
Advanced
Category:
Boolean Algebra
Type:
Simplification