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Binary Converter

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Last updated date: 27th Feb 2024
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What is Binary Converter?

From quantum mechanics to advanced quantum modelling, our world has greatly evolved over time. However, our will to count still hasn’t changed a lot. In ancient times, the primary system that humans used for calculation was the decimal number system.

But the modern-day computers and other technological platforms fuelled the need for a more sophisticated number system. This is what prompted the advent of the binary number system. The binary converter is a highly advanced tool that will help you to convert binary numbers into decimal and hexadecimal numbers.

With the help of two symbols, i.e. 0 and 1, the binary numeral system represents numeric values. One can also rely on the hex to binary converter to convert the desired values. In the binary system, only two digits are used to represent all possible values in the binary number system. Here 1 represents a true state while 0 denotes the false state.


Important Things to Know About the Binary Number System

We usually rely on a hex to binary converter to translate hexadecimal numbers into binary numbers. But a majority of us don’t possess much knowledge about the binary number system. The binary number system is one of the four types of number systems.

In computer applications, the binary numbers are usually denoted by only 0 or 1. The binary numbers are also represented in the base-2 numeral system. A lot of people use decimal to binary converter to get binary numbers.

Based on digital electronics and mathematics, a binary number refers to that type of a number that can be expressed in the binary system or the base 2 numeral system. The decimal to binary converter will allow you to get binary numbers easily. The binary number system describes the numeric values with two different symbols.

They are 1 and 0. In case you are unaware, the base-2 system is also referred to as the positional notation with 2 as the radix.

Quite interestingly, many of us use decimal to binary converters but don’t know that the same binary number system is integrated with computers. Binary numbers are an integral part of electronic devices as they facilitate direct deployment in the electronic circuits by using logic gates.


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Decimal to Binary Converter with Steps

Steps are pretty important if you want to convert decimal numbers into binary numbers. By using the decimal to binary converter with steps, it usually becomes easier for a person to get the desired results.

You should be aware of the conversion process to get the most accurate results. So here are some steps which would guide you to convert decimal into binary.

  • It will be helpful if you have access to decimal to binary examples. This would help you in the overall conversion process quite easily.

Division of Decimal Number by 2

Quotient

Remainder

Binary

112/2

56

0

0

56/2

28

0

0

28/2

14

0

0

14/2

7

0

0

7/2

3

1

1

3/2

1

1

1

1/2

0

1

1

  • To convert a decimal number into a binary number, we divide the decimal number by 2 on a repeated basis. Repeat the process until the quotient becomes 0.

  • Starting at the least significant digit, you should write the remainders in the same order of divisions.

  • It would help if you got the integer quotient for the next iteration.

  • Consider the decimal to binary example to understand how you can get the remainder for the binary digit.

  • You should repeat the steps until the quotient becomes 0.


Octal to Binary Converter

The octal to binary converter is pretty handy when the context is about converting an octal number to a binary number. As the name suggests, octal numbers have base 8, and binary numbers have base 2. Here are some steps which would come in handy. For accessing octal number to binary converter, you should be aware of specific things. You should count the total number of digits present in the given octal number. Let the number of digits be x.

  • It would be best if you now multiplied each digit of the number with 8x-1, , where x is the number of digits

  • For the number to binary converter, you should add all terms after multiplication.

  • The obtained value will be the equivalent decimal number.

  • Here is an example to convert 205, an octal number into binary number.

First, convert it into decimal or hexadecimal numbers,

= (205)8

= (2x82+0x81+5x80)8

Or (010 000 101)2


Conclusion

In the realm of computing, a binary conversion is a form of binary recompilation where the sequences of instructions are converted from a source conversion set to the target instruction set. But before knowing about the binary converter, you should be aware of the binary number system.

Competitive Exams after 12th Science

FAQs on Binary Converter

1. What is so interesting about Binary Numbers?

The binary numeral system is a way to write numbers using only two digits, 0 and 1. These digits are used in modern-day computers as a series of “off” and “on” switches. Computers don’t use the decimal number system. This is because the computers are integrated with electronic circuits that rely on binary numbers and logic gates. Computers use the binary number system to add, subtract and perform other functions.

2.  What is Gray to Binary Converter?

This is an important element in computer science. The most significant bit of the gray code is always equivalent to the MSB of the binary code. The other bits of the output binary code can be derived by assessing the gray code at a particular index. You can opt for a gray to binary converter to deduce the values.

3. Why do Computers use the Binary Number System?

All computer data is represented with the help of binary numbers. In simple words, computers can only understand 0 and 1. A binary digit, also known as a bit, is commonly referred to as the smallest data unit in the realm of computing.


The digits 1 and 0 used in the binary number system reflect the on and off positions of a semiconductor. Even the codes written by programmers are translated into the binary number systems so that computers can easily understand them. In short, computers are unable to process any other number system apart from the binary number system.