# Two's(2s) Complement Calculator

Select if you want to enter decimal or binary numbers in two's complement calculator**. **Choose the number of bits, enter the number, and hit the **Calculate** button. 2's complement calculator** **will instantly show you the 2’s complement of the selected number.

## 2's Complement of Binary

## What is two’s complement?

2’s complement of binary numbers is a mathematical operation with the biggest advantage that fundamental arithmetic operations such as addition, subtraction, multiplication remain similar for unsigned binary numbers.

It is used in computers and electronic devices to simplify arithmetic and mathematical operations.

You will have a clear idea of the 2s complement after using the two's complement converter**.**

For further understanding, refer to the below section where we will answer the most important questions such as *how to find two’s complement of a binary number? How to find 2s complement of a negative number?*

## How to find two’s complement of a decimal number?

Are you a student and want to learn the method to convert binary numbers to 2s complement? Here, we will explain the step by step method of two’s complement conversion without using the 2s complement calculator.

**Example:**

Find the two’s complement of *(68) _{10}.*

**Solution:**

**Step 1: **Convert the decimal number into binary number.

*(68) _{10} = (01000100)_{2}*

**Step 2: **Take the **one’s complement** of the binary number. 1’s complement can be taken by converting the 0’s to 1 and 1’s to zero.

*1’s complement of (01000100) = 10111011*

**Step 3: **Add ** 1** to the number produced in the last step.

So, two’s complement binary number of *(68) _{10}*

*= 10111100.*

**Note: **To calculate the 2’s complement of binary number, skip the 1^{st} step. You can reverse the steps if you want to convert two's complement to decimal.

## Two's Complement Table:

Two's (2's) complement of | Binary value |

2's complement of -5 | 00000101 |

2's complement of 5 | 11111011 |

2s complement of -7 | 00000111 |

2s complement of 7 | 11111001 |

2's complement of 10 | 11110110 |

2's complement of -10 | 00001010 |

2's complement of 44 | 11010100 |

2's complement of -44 | 00101100 |

2s complement of 4 | 11111100 |

2s complement of -4 | 00000100 |

2's complement of -45 | 00101101 |

2's complement of -13 | 00001101 |

2's complement of 12 | 11110100 |

2's complement of 6 | 11111010 |

2's complement of 50 | 11001110 |

2's complement of 19 | 11101101 |

2's complement of -19 | 00010011 |

2's complement of 15 | 11110001 |

2's complement of 1000 | 110000011000(12 bits) |

2's complement of 1010111 | 10101001 |

2's complement of 101101 | 11010011 |

2's complement of 1010101 | 10101011 |

## FAQs

### How do you calculate two's complement?

To calculate two’s complement,

- Convert given number in binary number.
- Change all 0’s of binary number to 1 and all 1’s to 0.
- Add 1 to the number produced in last step.

### What is the 2 complement of 44?

2’s complement of ** 44** is

*1101 0100.*### References:

- Two’s Complement, by tutorialspoint.com
- 2's Complement, Allmath