Boolean Algebra Calculator

The Boolean algebra calculator is used to perform logic operations AND, OR, NOT, XOR, NAND, and NOR. It evaluates Boolean expressions and truth tables. This free MathCalc Boolean algebra calculator simplifies the process.

Boolean Algebra Calculator

Evaluate boolean expressions and truth tables

How to Use
  1. Fill in the Required Values
  2. Click "Calculate" Button
  3. View Step-By-Step Solution

What is Boolean Algebra?

Boolean algebra deals with binary variables and logical operations. In this system, variables can only be True (1) or False (0). It is the backbone of digital logic, electronics, computer circuits, and truth tables.

A step-by-step guide on how to use the MathCalc Boolean Algebra Calculator

Step by step:

  • Choose an option from AND operation, OR operation, NOT operation, XOR operation, NAND operation, or NOR operation.
  • Choose an input (A) from True (1) or False (0).
  • Choose an input (B) from True (1) or False (0).
  • After entering the values, click on calculate, and in seconds, you will see the result.

Example 1: If we choose the AND operation

  • Choose True (1) in the input (A) box and False (0) in the input (B) box.
  • Step 1: Boolean Algebra Operation: AND
  • Step 2: Input A: 1
  • Step 3: Input B: 0
  • Step 4: AND operation: 1 AND 0 = 0
  • Rule: Output is 1 only when both inputs are 1
  • Result: Output: 0 | Boolean result: FALSE

Example 2: If we choose the OR operation

  • Choose False (0) in the input (A) box and False (0) in the input (B) box.
  • Step 1: Boolean Algebra Operation: OR
  • Step 2: Input A: 0
  • Step 3: Input B: 0
  • Step 4: OR operation: 0 OR 0 = 0
  • Rule: Output is 1 when at least one input is 1
  • Result: Output: 0 | Boolean result: FALSE

Example 3: If we choose the NOT operation

  • Choose True (1) in the input (A) box.
  • Step 1: Boolean Algebra Operation: NOT
  • Step 2: Input A: 1
  • Step 3: NOT operation: NOT 1 = 0
  • Rule: Output is the opposite of the input
  • Result: Output: 0 | Boolean result: FALSE

Example 4: If we choose the XOR operation

  • Choose True (1) for both inputs.
  • Step 1: Boolean Algebra Operation: XOR
  • Step 2: Input A: 1
  • Step 3: Input B: 1
  • Step 4: XOR operation: 1 XOR 1 = 0
  • Rule: Output is 1 when inputs are different
  • Result: Output: 0 | Boolean result: FALSE

Example 5: If we choose the NAND operation

  • Choose True (1) for both inputs.
  • Step 1: Boolean Algebra Operation: NAND
  • Step 2: Input A: 1
  • Step 3: Input B: 1
  • Step 4: NAND operation: 1 NAND 1 = 0
  • Result: Output: 0 | Boolean result: FALSE

Example 6: If we choose the NOR operation

  • Choose False (0) for both inputs.
  • Step 1: Boolean Algebra Operation: NOR
  • Step 2: Input A: 0
  • Step 3: Input B: 0
  • Step 4: NOR operation: 0 NOR 0 = 1
  • Result: Output: 1 | Boolean result: TRUE

Why use the MathCalc Boolean algebra calculator?

Get Quick Results

If you want to evaluate Boolean expressions and truth tables, enter your values, and get quick results. You can easily choose any operation from AND, OR, NOT, NAND, XOR, and NOR from the options.

Reduce Human Error

Manual calculation can lead to minor mistakes that cost you money or points. This tool provides proven formulas to reduce errors, and your results are always right. To avoid mistakes, use the MathCalc Boolean algebra Calculator.

User-Friendly

This free MathCalc Boolean algebra calculator handles all core operations AND, OR, NOT, XOR, NAND, and NOR in one clean interface. It is helpful for students, hardware engineers, digital logic designers, and anyone building or testing logic circuits.

FAQ

Why use only 0 or 1 as inputs?

Only in binary does Boolean algebra work. The only acceptable options for exact logical testing are 0 (false) and 1 (true).

What is the purpose of Boolean algebra calculator?

Using two binary inputs, it analyses logical operations like AND, OR, NOT, XOR, NAND, and NOR and outputs True (1) or False (0).