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.
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.
FAQs on Binary Converter
1. What is the binary number system?
The binary number system is a way of representing numbers using only two digits: 0 and 1. Each digit is called a bit. This system is the fundamental language of computers, where 0 can represent 'off' and 1 can represent 'on' in an electronic circuit.
2. Why do computers use binary instead of our regular decimal system?
Computers are built with electronic circuits that have two distinct states: on or off. The binary digits 1 (on) and 0 (off) perfectly match these two states. This makes it much simpler and more reliable for computers to process information using binary rather than the ten digits (0-9) of the decimal system we use daily.
3. How do you convert a whole decimal number into binary?
The most common method is repeated division by 2. You divide the decimal number by 2 and write down the remainder (which will always be 0 or 1). You then take the result (quotient) and divide it by 2 again, recording the new remainder. You continue this until the quotient becomes 0. The binary number is the list of remainders read from the bottom up.
4. For example, what is the number 13 in binary?
To convert 13 to binary, we use the division-by-2 method:
- 13 ÷ 2 = 6, Remainder 1
- 6 ÷ 2 = 3, Remainder 0
- 3 ÷ 2 = 1, Remainder 1
- 1 ÷ 2 = 0, Remainder 1
5. How does a binary to decimal conversion work?
To convert a binary number to decimal, you multiply each binary digit by 2 raised to the power of its position, starting from the rightmost digit (which is position 0). Then, you add up all the results. For example, for the binary number 1101:
- 1 x 2⁰ = 1 x 1 = 1
- 0 x 2¹ = 0 x 2 = 0
- 1 x 2² = 1 x 4 = 4
- 1 x 2³ = 1 x 8 = 8
6. Can you convert numbers with decimals, like 12.75, to binary?
Yes, it's a two-part process. First, convert the whole number part (12) to binary, which is 1100. Then, convert the fractional part (0.75) by repeatedly multiplying it by 2 and recording the whole number part of the result until the fraction becomes 0.
- 0.75 x 2 = 1.50 (take the 1)
- 0.50 x 2 = 1.00 (take the 1)
7. How is text or a word like 'Hello' converted to binary?
Text is converted to binary using a character encoding standard like ASCII or Unicode. Each character (like 'H', 'e', 'l', 'l', 'o') is assigned a unique decimal number. That decimal number is then converted into an 8-digit binary number (a byte). For example, in ASCII, 'H' is 72, which is 01001000 in binary.
8. What is the difference between binary code and Gray code?
Both are ways to represent numbers, but they have different structures. In binary, changing a number by one (e.g., from 7 to 8) can cause multiple bits to flip (0111 to 1000). In Gray code, only one bit changes at a time between consecutive numbers. This property makes Gray code useful in preventing errors in digital systems where a brief, incorrect reading during a multi-bit change could be problematic.
