Two’s Complement Calculator
Convert between decimal and binary, find one’s and two’s complement with step-by-step explanations
Binary Representation
One’s Complement
Two’s Complement
Decimal Value
Step-by-Step Explanation
Two’s complement is a mathematical operation used to represent signed integers in binary number systems. It’s widely used in computing because it simplifies the implementation of addition and subtraction operations in digital circuits. In two’s complement representation, negative numbers are represented by the two’s complement of their absolute value, which is calculated by inverting all bits and adding 1.
This representation allows computers to use the same hardware for both addition and subtraction operations, making it an essential concept in computer architecture, digital electronics, and low-level programming.
How to Use the Two’s Complement Calculator
Step-by-Step Guide to Using the Two’s Complement Calculator
Step 1: Enter your number in the “Enter a Number” field. You can input either a decimal number (like 42 or -15) or a binary number (like 10110), depending on your selection in the “Input Type” dropdown.
Step 2: Select the appropriate bit size from the dropdown menu. Options include 4-bit, 8-bit, 16-bit, 32-bit, or a custom bit size. If you choose “Custom,” enter your desired bit length in the field that appears.
Step 3: Choose your input type from the dropdown menu – either “Decimal” or “Binary” – to match the format of the number you entered.
Step 4: Click the “Calculate” button to generate the two’s complement. The calculator will display both the original number and its two’s complement in binary and decimal formats.
Step 5: Review the detailed calculation steps provided below the results to understand how the two’s complement was derived. These steps include the original binary representation, the inverted bits (one’s complement), and the final two’s complement after adding 1.