BrightChamps Logo
Login

Summarize this article:

Live Math Learners Count Icon104 Learners

Last updated on September 13, 2025

One's Complement Calculator

Professor Greenline Explaining Math Concepts

Calculators are reliable tools for solving simple mathematical problems and advanced calculations like trigonometry. Whether you’re cooking, tracking BMI, or planning a construction project, calculators will make your life easy. In this topic, we are going to talk about one's complement calculators.

One's Complement Calculator for US Students
Professor Greenline from BrightChamps

What is One's Complement Calculator?

A one's complement calculator is a tool to convert a binary number into its one's complement form. One's complement is a binary number obtained by inverting all the bits in the original number.

This calculator simplifies the process, making conversion quick and accurate.

Professor Greenline from BrightChamps

How to Use the One's Complement Calculator?

Given below is a step-by-step process on how to use the calculator:

 

Step 1: Enter the binary number: Input the binary number into the given field.

Step 2: Click on convert: Click on the convert button to get the one's complement of the entered number.

Step 3: View the result: The calculator will display the one's complement instantly.

Professor Greenline from BrightChamps

How to Calculate One's Complement?

To calculate the one's complement of a binary number, simply invert each bit in the number. If the bit is a 0, change it to a 1, and if it's a 1, change it to a 0.

 

For example, the one's complement of 1010 is 0101.

Professor Greenline from BrightChamps

Tips and Tricks for Using the One's Complement Calculator

When using a one's complement calculator, consider these tips to avoid mistakes:

Understand binary numbers and their operations to interpret results correctly.

Verify manually for smaller numbers to cross-check the calculator's output.

Remember that one's complement can be used in signed number representations, where the most significant bit indicates the sign.

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them When Using the One's Complement Calculator

Mistakes can occur even when using calculators. Here are common errors and how to avoid them:

Mistake 1

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Entering non-binary numbers

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Ensure you input only binary numbers, consisting of 0s and 1s. Any other digits will lead to incorrect results.

Mistake 2

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Misunderstanding the result

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Remember that the one's complement flips all bits. Misinterpreting the output can lead to errors in subsequent calculations.

Mistake 3

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Using one's complement for unsigned numbers

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

One's complement is typically used for signed numbers. Using it for unsigned binary numbers can cause confusion.

Mistake 4

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Relying solely on the calculator

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

For critical applications, verify the results manually to ensure accuracy.

Mistake 5

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Assuming one's complement is the same as two's complement

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

One's complement and two's complement are different. Ensure you are calculating the correct form as needed.

arrow-right
arrow-right
Max from BrightChamps Saying "Hey"
Hey!

One's Complement Calculator Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

What is the one's complement of 1101?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"
Okay, lets begin

Flip each bit in the binary number: 1101 becomes 0010

Therefore, the one's complement of 1101 is 0010.

Explanation

By inverting each bit from 1 to 0 and vice versa, the number 1101 becomes 0010.

Max from BrightChamps Praising Clear Math Explanations
Well explained 👍
Max, the Girl Character from BrightChamps

Problem 2

Find the one's complement of 1010.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"
Okay, lets begin

Flip each bit in the binary number:

1010 becomes 0101

Therefore, the one's complement of 1010 is 0101.

Explanation

Each bit in 1010 is inverted to get 0101.

Max from BrightChamps Praising Clear Math Explanations
Well explained 👍
Max, the Girl Character from BrightChamps

Problem 3

Calculate the one's complement of 0111.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"
Okay, lets begin

Flip each bit in the binary number:

0111 becomes 1000

Therefore, the one's complement of 0111 is 1000.

Explanation

Inverting 0111 results in 1000 by flipping each bit.

Max from BrightChamps Praising Clear Math Explanations
Well explained 👍
Max, the Girl Character from BrightChamps

Problem 4

What is the one's complement of 0000?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"
Okay, lets begin

Flip each bit in the binary number:

0000 becomes 1111

Therefore, the one's complement of 0000 is 1111.

Explanation

The one's complement of all zeros (0000) is all ones (1111).

Max from BrightChamps Praising Clear Math Explanations
Well explained 👍
Max, the Girl Character from BrightChamps

Problem 5

Find the one's complement of 1110.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"
Okay, lets begin

Flip each bit in the binary number:

1110 becomes 0001

Therefore, the one's complement of 1110 is 0001.

Explanation

Each bit is inverted, turning 1110 into 0001.

Max from BrightChamps Praising Clear Math Explanations
Well explained 👍
Ray Thinking Deeply About Math Problems

FAQs on Using the One's Complement Calculator

1.How do you calculate one's complement?

Invert each bit in the binary number: change 0 to 1 and 1 to 0.

Math FAQ Answers Dropdown Arrow

2.Is one's complement used for signed numbers?

Yes, one's complement is often used for signed number representations, where the most significant bit indicates the sign.

Math FAQ Answers Dropdown Arrow

3.How does one's complement differ from two's complement?

One's complement inverts all bits, while two's complement inverts all bits and adds one to the least significant bit.

Math FAQ Answers Dropdown Arrow

4.Can I use one's complement for unsigned numbers?

It's not typical to use one's complement for unsigned numbers as it is primarily for signed number operations.

Math FAQ Answers Dropdown Arrow

5.Is the one's complement calculator accurate?

The calculator provides an accurate one's complement by flipping each bit in the input binary number.

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Glossary of Terms for the One's Complement Calculator

  • One's Complement: A method of representing negative binary numbers by inverting all bits.

 

  • Binary Number: A number expressed in the base-2 numeral system using only 0s and 1s.

 

  • Bit: The smallest unit of data in a computer, representing a binary value of 0 or 1.

 

  • Signed Numbers: Numbers that include a sign (positive or negative) indicated by the most significant bit.

 

  • Two's Complement: A binary representation for signed integers, calculated by inverting all bits and adding one.
Math Teacher Background Image
Math Teacher Image

Seyed Ali Fathima S

About the Author

Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.

Max, the Girl Character from BrightChamps

Fun Fact

: She has songs for each table which helps her to remember the tables

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
UAE - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom