Decimal to Hexadecimal Converter
This decimal to hexadecimal converter allows you to switch between numbers in their decimal and hexadecimal forms.
This decimal to hexadecimal converter allows you to switch between numbers in their decimal and hexadecimal forms.
You can enter a decimal number between -32768 and 32767.
The hexadecimal system, also known as base-16 or hex, is a numeral system that uses 16 symbols to represent numbers. The symbols used in hexadecimal notation are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F. These 16 symbols correspond to the decimal values 0 through 15.
The hexadecimal system is often used in computing because it provides a compact representation of binary data. Each hexadecimal digit corresponds to four binary digits, or bits, which makes it easier to work with large binary numbers. For example, the hexadecimal number FF is equal to the binary number 11111111, which is equal to the decimal number 255.
To represent larger numbers, multiple hexadecimal digits can be used together. For example, the hexadecimal number 1F4 is equal to the binary number 000111110100, which is equal to the decimal number 500.
In programming, hexadecimal numbers are often prefixed with "0x" to indicate that they are in hexadecimal notation. For example, the hexadecimal number 0xFF is equal to 255 in decimal.
To convert a decimal number to hexadecimal, you can follow these steps:
For example, to convert the decimal number 500 to hexadecimal:
Therefore, the hexadecimal representation of 500 is 1F4.
You can also use a calculator or a computer program to convert decimal to hexadecimal. Most programming languages have built-in functions or libraries that can perform the conversion for you.
It's worth noting that the hexadecimal system is an positional notation system, which means that the value of a digit is determined by its position in the number as well as its value. In the example above, the digit F has a value of 15, but in the number 1F4, it has a value of 15 × 16^1 = 240.
To convert a hexadecimal number to decimal, you can follow these steps:
For example, to convert the hexadecimal number 1F4 to decimal:
Therefore, the decimal representation of 1F4 is 256 + 240 + 4 = 500.
You can also use a calculator or a computer program to convert hexadecimal to decimal. Most programming languages have built-in functions or libraries that can perform the conversion for you.
It's worth noting that the hexadecimal system is an positional notation system, which means that the value of a digit is determined by its position in the number as well as its value. In the example above, the digit F has a value of 15, but in the number 1F4, it has a value of 15 × 16^1 = 240.
There are several ways to use a decimal to hexadecimal converter, depending on the type of converter you are using:
Regardless of the type of converter you are using, the basic process for converting decimal to hexadecimal is the same: divide the decimal number by 16, write down the remainder as the next digit in the hexadecimal representation, and repeat the process with the quotient until you get a quotient of 0.
To convert the decimal number 123 to hexadecimal, you can follow these steps:
Therefore, the hexadecimal representation of 123 is 7B.
You can also use a calculator or a computer program to convert 123 to hexadecimal. Most programming languages have built-in functions or libraries that can perform the conversion for you.
It's worth noting that the hexadecimal system is an positional notation system, which means that the value of a digit is determined by its position in the number as well as its value. In the example above, the digit B has a value of 11, but in the number 7B, it has a value of 11 × 16^1 = 176.
To convert the hexadecimal number 3A to decimal, you can follow these steps:
Therefore, the decimal representation of 3A is 48 + 10 = 58.
You can also use a calculator or a computer program to convert 3A to decimal. Most programming languages have built-in functions or libraries that can perform the conversion for you.
It's worth noting that the hexadecimal system is an positional notation system, which means that the value of a digit is determined by its position in the number as well as its value. In the example above, the digit A has a value of 10, but in the number 3A, it has a value of 10 × 16^0 = 10.