Here you will learn about the binary number system. What is a binary calculator? How to do binary to decimal conversion? How does hexadecimal to binary converter works? What is a binary decimal converter? What is a hexadecimal converter?
| 4 nibble | 1 bits |
| 1024 bit | 1 bytes |
| 1024 byte | 1 KB |
| 1024 KB | 1 MB |
| 1024 MB | 1 GB |
| 1024 GB | 1 TB |
| 1024 TB | 1 PB |
| 1024 PB | 1 HB |
Binary number system: In the binary system the base is two and only two numbers 0 and 1 are used. In a binary system, only two signal levels are needed. The reason for using binary number systems in digital equipment is that representing a decimal number by electronic circuits becomes complicated, costly, and impractical for most applications.
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A group of four bits makes a nibble. E.g. 1111, 1101, 1001
A string of 8 bits makes a byte. E.g. 11111111, 10101111, 11110000
A byte is a basic unit of data in computers. Most computers process data in strings of 8 bits or 16, 24, 32 & so on.
Method of conversion
Binary to decimal conversion. The conversion is accomplished in a very simple way. The procedure is as follows:
1 .write binary number
1. multiply each bit with the weight of each digit (bit) 20, 21, 22, 23, etc. 1,2,4,8,16…from right to left.
3. cancel the weights where the bit is zero.
4. add the remaining digit to get a decimal number.
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Decimal to Binary: The conversion is done in several ways. One way to convert a given decimal number into binary is the reverse of the process seen above. The number is expressed as a sum of the power of two and then 1’s and 0’s are written at appropriate positions.
This is how you can do binary to decimal conversion and decimal to binary conversion.
The second method is called as Double-Dabble method is easy and more frequently used. The procedure is as follows.
1.Divide the given number successively by 22
2.write down the quotients directly below the given number.
3.write down the remainders on the right side.
4.the remainders are taken in reverse order from bottom to top from the number.
The last quotient obtained by dividing 2 by 2 is 1. This 1 is not divisible by 2. Hence the next quotient is 0 and 1 is transferred to remainders.
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Hexadecimal number system: Hexadecimal numbers are extensively used in microprocessor work. To begin with, they are much shorter than binary numbers. Hexadecimal to binary converter.
Hexadecimal means 16. The hexadecimal number system has a base or radix of 16. This means that it uses 16 digits to represent all numbers. The digit is 0 through 9, and A through F as follows : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F.
Binary to hexadecimal conversion
Therefore (11000111)2 = (C7)16
Decimal to hexadecimal
The table shows the equivalences between hexadecimal binary and decimal digits.
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