Decimal to Hexadecimal Converter

What is the hexadecimal system?

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.

 

How to convert decimal to hexadecimal?

To convert a decimal number to hexadecimal, you can follow these steps:

1. Divide the decimal number by 16.
2. Write down the remainder as the next digit in the hexadecimal representation.
3. Repeat the process with the quotient from step 1 until you get a quotient of 0.

For example, to convert the decimal number 500 to hexadecimal:

1. 500 ÷ 16 = 31 with a remainder of 4, so the next digit in the hexadecimal representation is 4.
2. 31 ÷ 16 = 1 with a remainder of 15, so the next digit in the hexadecimal representation is F.
3. 1 ÷ 16 = 0 with a remainder of 1, so the next digit in the hexadecimal representation is 1.

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.

 

How to convert hexadecimal to decimal?

To convert a hexadecimal number to decimal, you can follow these steps:

1. Identify the value of each digit in the hexadecimal number.
2. Multiply each digit by the corresponding power of 16 and add the results together.

For example, to convert the hexadecimal number 1F4 to decimal:

1. The digit 1 has a value of 1 × 16^2 = 256.
2. The digit F has a value of 15 × 16^1 = 240.
3. The digit 4 has a value of 4 × 16^0 = 4.

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.

 

How to use the decimal to hexadecimal converter?

There are several ways to use a decimal to hexadecimal converter, depending on the type of converter you are using:

1. Online converter: You can use an online converter by visiting a website that offers this service. Most online converters have a simple interface where you can enter the decimal number and click a button to perform the conversion. The result will be displayed on the screen.
2. Calculator: Many calculators, including those on smartphones and computers, have a built-in function for converting decimal to hexadecimal. To use this function, you will need to enter the decimal number and then select the hexadecimal option from the calculator's menu. The result will be displayed on the screen.
3. Computer program: If you are a programmer, you can use a programming language to create your own decimal to hexadecimal converter. Most programming languages have built-in functions or libraries that can perform the conversion for you.

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.

 

How do I convert the number 123 to hexadecimal?

To convert the decimal number 123 to hexadecimal, you can follow these steps:

1. 123 ÷ 16 = 7 with a remainder of 11, so the next digit in the hexadecimal representation is B.
2. 7 ÷ 16 = 0 with a remainder of 7, so the next digit in the hexadecimal representation is 7.

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.

 

How do I convert the number 3A to decimal?

To convert the hexadecimal number 3A to decimal, you can follow these steps:

1. The digit 3 has a value of 3 × 16^1 = 48.
2. The digit A has a value of 10 × 16^0 = 10.

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.