Reverse Polish Logic Calculator

Calculator Form

Postfix expression

Example: a b AND c NOT OR

Variables

Use one item per line, comma, or semicolon.

Output mode

Decimal precision

Stack validation

Maximum tokens

True label

False label

Supported token groups

Logic, comparison, arithmetic, and bitwise operators are accepted.

Formula Used

Reverse Polish logic uses a stack. Read tokens from left to right. Push values. Apply operators to the newest values.

For a binary operator, use: stack result = first value operator second value. In postfix order, A B AND means A AND B.

Core logic rules are: AND returns true when both values are true. OR returns true when at least one value is true. NOT reverses one truth value. XOR returns true when the two truth values differ. IMPLIES returns false only when the first value is true and the second value is false.

How to Use This Calculator

Enter tokens with spaces between values and operators.
Add optional variables such as x=1 or y=false.
Select Boolean, numeric, or bitwise output.
Choose strict mode when you need one final value.
Press Calculate and review the result above the form.
Use CSV or PDF export for saved records.

Example Data Table

Expression	Variables	Meaning	Expected Result
a b AND	a=1, b=0	a AND b	FALSE
a b OR c NOT AND	a=1, b=0, c=0	(a OR b) AND NOT c	TRUE
5 3 & 2 \|	none	(5 BAND 3) BOR 2	3
10 2 / 5 ==	none	(10 / 2) equals 5	TRUE

What This Tool Does

A reverse polish logic calculator solves postfix expressions. Operators appear after their values. The form reads each token from left to right. It pushes values onto a stack. It applies an operator when enough values exist. This style removes brackets and operator priority problems.

Why Postfix Logic Helps

Postfix notation is useful in compilers, calculators, scripts, and rules engines. It is also easy to audit. Each stack step shows what changed. You can see where an expression fails. This page supports logic, comparison, bitwise, and arithmetic work. It also accepts named variables, so repeated tests stay clear.

Main Features

You can enter tokens separated by spaces. Values may be numbers, true, false, one, zero, or variables. Variables are written in a small list, such as a=1 and b=0. The calculator can show Boolean words, numeric output, or bitwise integer output. It also checks divide by zero, missing operands, unknown tokens, and extra stack values. The step table helps students and developers review every operation.

Practical Example

The expression a b AND c NOT OR means take a and b first. Then join them with AND. Next, invert c. Finally, join both results with OR. If a is true, b is false, and c is false, the final result becomes true. The table shows each push, operator, stack before, stack after, and note.

Exports And Records

CSV export is helpful for spreadsheets and class records. PDF export is useful for reports, emails, or printed notes. Both exports include the expression, variables, mode, final result, and stack trace. This makes the tool useful after the browser page is closed.

Best Use Tips

Keep tokens simple. Place spaces between every value and operator. Use uppercase operators for readability. Start with small expressions. Then add more logic. Check the stack trace after each run. A valid postfix expression should leave one final value on the stack. Use the example table to compare expected results before building larger rules.

Common Operators

AND needs two truth values. OR also needs two values. NOT needs only one value. XOR checks difference. IMPLIES tests a condition and a result. Comparisons turn numbers into truth results. Arithmetic can prepare values before logic runs.

FAQs

What is reverse polish logic?

It is postfix notation for logical expressions. Values come first. Operators come after the values they use. This removes the need for brackets in many expressions.

How do I enter an expression?

Place one space between every token. For example, write a b AND instead of a AND b. Add variables in the variable box.

Can I use true and false words?

Yes. You can use true, false, yes, no, one, zero, on, and off. The calculator converts them into truth values.

What does strict stack validation do?

Strict mode requires one final stack value. It helps catch incomplete expressions, extra values, or missing operators before you export the result.

Which operators are supported?

The tool supports AND, OR, XOR, NOT, NAND, NOR, XNOR, IMPLIES, comparisons, arithmetic operators, and bitwise operators.

Can this handle numeric comparisons?

Yes. You can compare numbers with greater than, less than, equality, and related operators. Comparisons return a truth value.

What is the CSV export for?

The CSV file stores the expression, variables, mode, result, and stack trace. It is useful for spreadsheets and review logs.

What is the PDF export for?

The PDF export creates a compact report. It includes the expression, settings, final result, and visible stack trace rows.