# Binary Calculator

## What Is A Binary Calculator? Click For The Ultimate Guide

Understanding the language of computers is not easy. However, you can simplify it with the right tool. Since binary numbers are among the most frequently used in computing, the tool you need will be a binary calculator.

Compared to decimal systems, binary values will give you a more straightforward idea of how your computer works. The process becomes more straightforward with online binary calculators.

## What Is A Binary Number?

If you have heard about the decimal system, you will grasp the idea of the binary system easier. They are both numerical systems and work similarly.

However, a decimal system works on the number 10. Meanwhile, the binary system is a base-2 numeral system.

Besides, a decimal system employs digits 0 to 9, but the binary system uses 0 and 1. Each digit is a bit in the system.

Aside from these differences, the two systems have similar processes like addition, subtraction, multiplication, and division.

Since the 20th century, computers have been where we use binary numbers the most. Computer systems can encode everything with or without an electrical charge. Hence, we can represent it by ones and zeroes.

Fortunately, we don't need to perform any binary math or counting. Programming for computers typically involves using a converter or calculator for this task.

Because of the popularity of binary numbers, you need a specialized binary calculator to work with them.

## What Is A Binary Calculator?

Although you will perform the same tasks on binary numbers as those on decimal numbers, there are still some other rules to apply to the binary system.

Instead of doing these calculations manually, try using a binary calculator. Here, we'll talk about each separately.

The principles for addition in the decimal number system apply to binary addition. But when the sum of the values reaches 2, carryover happens instead of taking a one over when the sum equals 10.

Rules of a binary addition calculator:

0 + 0 = 0

0 + 1 = 1

1 + 0 = 1

1 + 1 = 0

Here is an example of a binary addition calculator:

 0 (1) 1 (1) 1(1) 0(1) 1 + 1 0 1 1 1 = 1 0 0 1 0 0

The significant difference between addition in the decimal and binary systems is that the value 2 in binary translates to 10 in the latter. Take note that the 1s in superscript represents carried-over digits.

When performing binary addition, a typical mistake to look out for is when "1 + 1 = 0" has a one transferred over from the previous right column.

Therefore, instead of 0, the result at the bottom will be one from its carried-over 1.

### Binary Subtraction

The main differences between binary and decimal subtraction arise because the binary system only uses 0 and 1.

Rules of a binary subtraction calculator:

0 - 0 = 0

0 - 1 = 1

1 - 0 = 1

1 - 1 = 0

 1 (-1) 0(2) 1 1 1 - 0 1 1 0 1 = 0 1 0 1 0

You need to make a borrow if the subtrahend is larger than the minuend. So in binary subtraction, borrowing happens in only one case, when "0 - 1."

When you see this subtraction calculation, the number 0 in the borrowing column will turn 2. You only need to reduce 1 in the column that you borrow.

If the next column is 0, you must borrow from the subsequent column until you have a column with one that can be decreased to 0.

### Binary Multiplication

Binary multiplication is more straightforward than decimal multiplication. Because you only use 0 and 1, your figures will be 0 or the exact first word.

However, in binary multiplication, you will use binary addition. The calculation will be longer, but it's not tricky.

Rules of a binary multiplication calculator:

0 × 0 = 0

0 × 1 = 0

1 × 0 = 0

1 × 1 = 1

This example will show you how to do a binary multiplication:

 1 0 1 1 1 x 1 1 1 0 1 1 1 + 1 0 1 1 1 0 = 1 0 0 0 1 0 1

### Binary Division

The division calculation is lengthy in both decimal and binary systems. The divider always splits the dividend equally.

Rules of a binary division calculator:

0 : 1 = 0

1 : 1 = 1

## How Do You Use Binary On a Calculator?

We have discussed how binary addition, subtraction, multiplication, and division occur. Yet, those operations may become rather complex and confusing for large binary values.

Don't worry! A binary calculator is available to help with that. Although binary calculators have different approaches to calculating numbers, most have the same technique. And here is how you can use them:

• Choose the type of figure. In this case, it's binary.
• Input the first operand's value.
• Input the second operand.
• Choose the math operation you wish to apply to the two operands. It can be addition, subtraction, division, multiplication, or all.
• Click "Calculate" to get the result.

## Understanding Binary Number System

Why is understanding the binary system that important? Computer technology is available everywhere. We do digital coding using computer languages, which work on that two-digit system.

Digital programming involves processing and transforming the data with restricted bits of data. The binary system of 0 and 1 makes up that kind of data.

Additionally, computers, appliances, and networking technologies require a binary system. The electric pulse that regulates the devices and circuits allows them to distinguish between the two signals.

## Benefits of Using the Binary Calculator

The binary calculation will be a breeze if you use an online binary calculator. Here are some benefits that those tools offer you.

### Free

You can use an online binary subtraction calculator without paying any cost. Often, such websites are free and will always be. If you appreciate their effort, share them with your friends.

### Easy to use

We have discussed how to use the online calculator. It's super easy to manage and can give you the exact result within a few seconds.

### Flexible

Most online tools like these can handle multiple number systems. You may use them for a binary or decimal system. So feel free to experiment with decimal subtraction or decimal multiplication with those multi-tasking tools.

## How To Convert Binary To Decimal?

If you are more familiar with decimal systems, you can convert binary values into decimal ones in two ways:

### Positional Notation Method

This method is about determining the value of the number using the weight defined by its position. You can achieve it by multiplying the digit by 2 to the appropriate power, depending on where that digit sits in the number.

The sum of those values brings the comparable value of the binary number in the new decimal system.

### Doubling Method

As the name implies, converting binary to decimal involves multiplying or doubling by two.

### 1. Where are binary numbers most used?

All computer systems and processes run on the binary number system. Binary numbers allow devices to save, access and modify any data sent to or read from the CPU.

### 2. What is an example of binary value from everyday life?

A binary digit (or bit) values are 0 or 1. A switch's on and off modes are an example of the two states that a bit may represent.

### 3. Why is it important to learn binary?

Without binary coding, computers would be unable to interpret your coding commands. Even while the computer enables you to view text, photos, and videos, it can't comprehend them.

### 4. Do people still code in binary?

No. We study binary languages to understand the fundamentals of computer science. Yet, we don't write binary.

### 5. How do I add 3 and 10 in binary?

The binary forms of 3 and 10 in binary are 11 and 1010, respectively.

## Conclusion

A binary calculator can help you figure out all binary numbers. You will then find any binary process within your computer simple and easy to understand.

Besides, some binary calculators can work with the decimal number system. They show you an accurate decimal number results in a blink.