Mister Exam
Mathematical logic step by step
The teacher will be very surprised to see your correct solution 😉
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- Use symbolic logic and logic algebra
- Place brackets in expressions, given the priority of operations
- Simplify logical expressions
- Build a truth table for the formulas entered
- Find Normal Forms of Boolean Expression:
- Conjunctive normal form (CNF), including perfect
- Disjunctive normal form (DNF), including perfect
Examples of logical expressions
- Using negative
(A⇒B)⇒¬(B⇒A)
- Addition of logical expressions
(A⊕B)∨(A⊕C)
- With Equivalent Sign
(A⇒B)∨(B⇔C)
- With "Consequence" Sign
((A⇒B)⇒(A|C))⇒(¬B⇒¬C)
- Not-Or
(A⇒B)∧(A↓C)
- With the use of conjunction and disjunction
(A∨B)∨C ⇒ (A∨B)∧(A∨C)
- With the use of Not-And and Not-Or
0↓1|a|b|c|1↓0
Supported symbols in logical expressions
Here are the symbols that should be specified when entering a logical formula into the calculator
- ¬a
- – negation
- a⇒b
- – material implication
- a∧b
- – logical conjunction
- a∨b
- – logical disjunction
- a⇔b
- – logical equality
- a⊕b
- – exclusive or ( Exclusive disjunction)
- a|b
- – Nand (not and) (Sheffer stroke)
- a↓b
- – Not-Or (logical NOR)
- a⊙b
- – XNOR gate ( Exclusive AND)
In the calculator, you can simplify expressions with the following operations: NOT, XOR, AND, OR, NAND, NOR, NOT, XNOR