Binary To Decimal Converter

How To Convert Binary To Decimal Online

The interface of the binary to decimal conversion tool is easy to navigate for all users. It is designed to provide the following functions.

Copy & Paste Binary Numbers in the Input Box

Simply copy the binary number and paste it into the input box to begin the conversion process.

Convert Button

Once you have entered the binary number, hit the “Convert” button to instantly see the decimal result.

Reset Button

Click the Reset button to clear all values and start a fresh session.

File Upload

Upload a file containing binary numbers, and the tool will automatically extract and convert them to decimal.

Binary to Decimal Calculation Steps

In addition to showing the result, the tool also breaks down the Binary to Decimal calculation steps for educational purposes.

Key Features of SmallSEOTools’ Binary to Decimal Converter

The online binary converter is a versatile tool that is programmed around the needs of the users. It has incorporated all the efficient features to improve the user experience. Here are the most prominent features of this tool.

• Instantly convert binary to decimal with high accuracy.
• Supports both manual input and file upload options.
• Simple and user-friendly interface with a one-click Convert button.
• Includes detailed binary to decimal conversion steps for better understanding.
• Completely free with no registration required.
• Works on all devices and modern browsers.

How to Convert Decimal to Binary Manually with Examples

To convert binary to decimal, each digit in the binary number is multiplied by 2 raised to the power of its position (from right to left, starting at 0). And then all the results are added together. This method allows you to accurately turn any binary value into a readable decimal format.

Binary to Decimal Conversion:

Below is an example to show the actual working behind the conversion process.

Decimal= I-0∑n−1​bi​×2i

Explanation:

𝑏

𝑖= the binary digit (0 or 1) at position i, starting from the right (least significant bit)

2

𝑖 = 2 raised to the power of the position index i

𝑛

n = total number of binary digits

 

Binary Number:  110010111

= (1 × 2⁸) + (1 × 2⁷) + (0 × 2⁶) + (0 × 2⁵) + (1 × 2⁴) + (0 × 2³) + (1 × 2²) + (1 × 2¹) + (1 × 2⁰)

= 256 + 128 + 0 + 0 + 16 + 0 + 4 + 2 + 1

= 407 Decimal

Binary Number: 1000110.11

Whole part = 1000110

Fractional part = .11

Binary 1000110 = (1 × 2⁶) + (0 × 2⁵) + (0 × 2⁴) + (0 × 2³) + (1 × 2²) + (1 × 2¹) + (0 × 2⁰)

= 1×26 + 0×25 + 0×24 + 0×23 + 1×22 + 1×21 + 0×20

= 1×64 + 0 + 0 + 0 + 1×4 + 1×2 + 0

= 64 + 4 + 2

= 70

Binary 11 = (1 × 2⁻¹) + (1 × 2⁻²)

= 1×2 – 1 + 1×2 – 2

= 0.5 + 0.25

= 0.75

Final Result: 1000110.11 ​= 70 + 0.75 

= 70.75 Decimal   

Binary to Decimal Conversion Table

4-bit Binary to Decimal

8-bit Binary to Decimal