# Hexadecimal to Decimal Converter Tool

To utilize this online hex to decimal conversion tool, enter a hexadecimal value such as 1E in the upper field below, and then press the Convert button. You can convert a maximum of 16 hexadecimal characters (with a maximum value of 7fffffffffffffff) to decimal.

Hex to Decimal Converter

# Hex to Decimal Converter

## How to convert from hex to decimal

To convert a hexadecimal (hex) number to a decimal number, you can use the following steps:

1. Write down the hexadecimal number you want to convert.
2. Assign decimal values to each digit in the hexadecimal number, starting from the right and moving to the left. Here are the decimal values for hexadecimal digits:
0 0
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8
9 9
A 10
B 11
C 12
D 13
E 14
F 15

This table displays the hexadecimal numbers on the left and their corresponding decimal values on the right.

3. Multiply each digit by its corresponding decimal value.
4. Sum up all the products to get the decimal equivalent.

Let’s go through five examples to convert hexadecimal numbers to decimal:

here’s a table showing the conversion of five hexadecimal numbers to their decimal equivalents:

This table displays the hexadecimal numbers on the left and their corresponding decimal values on the right.

• 1 (decimal value of 1) * 16^1 + A (decimal value of 10) * 16^0
• 16 + 10
• Decimal: 26

• 3 (decimal value of 3) * 16^1 + F (decimal value of 15) * 16^0
• 48 + 15
• Decimal: 63

• 7 (decimal value of 7) * 16^2 + D (decimal value of 13) * 16^1 + 8 (decimal value of 8) * 16^0
• 1792 + 208 + 8
• Decimal: 2008

• A (decimal value of 10) * 16^2 + 5 (decimal value of 5) * 16^1 + B (decimal value of 11) * 16^0
• 2560 + 80 + 11
• Decimal: 2651

• F (decimal value of 15) * 16^3 + F (decimal value of 15) * 16^2 + F (decimal value of 15) * 16^1 + F (decimal value of 15) * 16^0
• 61440 + 3840 + 240 + 15
• Decimal: 65535

These examples demonstrate how to convert hexadecimal numbers to their decimal equivalents using the method described above.

## Hex to decimal conversion table

Hex
base 16
Decimal
base 10
Calculation
0 0
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8
9 9
A 10
B 11
C 12
D 13
E 14
F 15
10 16 1×161+0×160 = 16
11 17 1×161+1×160 = 17
12 18 1×161+2×160 = 18
13 19 1×161+3×160 = 19
14 20 1×161+4×160 = 20
15 21 1×161+5×160 = 21
16 22 1×161+6×160 = 22
17 23 1×161+7×160 = 23
18 24 1×161+8×160 = 24
19 25 1×161+9×160 = 25
1A 26 1×161+10×160 = 26
1B 27 1×161+11×160 = 27
1C 28 1×161+12×160 = 28
1D 29 1×161+13×160 = 29
1E 30 1×161+14×160 = 30
1F 31 1×161+15×160 = 31
20 32 2×161+0×160 = 32
30 48 3×161+0×160 = 48
40 64 4×161+0×160 = 64
50 80 5×161+0×160 = 80
60 96 6×161+0×160 = 96
70 112 7×161+0×160 = 112
80 128 8×161+0×160 = 128
90 144 9×161+0×160 = 144
A0 160 10×161+0×160 = 160
B0 176 11×161+0×160 = 176
C0 192 12×161+0×160 = 192
D0 208 13×161+0×160 = 208
E0 224 14×161+0×160 = 224
F0 240 15×161+0×160 = 240
100 256 1×162+0×161+0×160 = 256
200 512 2×162+0×161+0×160 = 512
300 768 3×162+0×161+0×160 = 768
400 1024 4×162+0×161+0×160 = 1024

The hexadecimal system, often called the hex system, is a way of counting and representing numbers just like our everyday decimal system. However, it uses 16 different symbols instead of 10. In the decimal system, we use the digits 0 to 9. In the hex system, we use the digits 0 to 9 just like in decimal, but we also use the letters A, B, C, D, E, and F to represent the numbers 10 to 15.

So, in the hex system:

• 0 stands for zero
• 1 stands for one
• 2 stands for two
• 9 stands for nine
• A stands for ten
• B stands for eleven
• C stands for twelve
• D stands for thirteen
• E stands for fourteen
• F stands for fifteen

To write numbers in the hex system, we simply combine these symbols. For example, if you see the hex number “1A,” it represents the decimal number 26. Hexadecimal is often used in computing because it’s a convenient way to represent binary data (0s and 1s) in a more human-readable form.

## Decimal System

The decimal system, also known as the base-10 system, is the way we count and represent numbers in our everyday lives. It uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

Each digit in a decimal number represents a different power of 10. The rightmost digit represents “ones,” the next one to the left represents “tens,” the next represents “hundreds,” and so on. This means that when you move one place to the left, you’re multiplying the number by 10.

For example:

• The number 123 means 1 hundred, 2 tens, and 3 ones.
• The number 4567 means 4 thousands, 5 hundreds, 6 tens, and 7 ones.

The decimal system is widely used in our daily lives for counting, measuring, and performing arithmetic operations. It’s the most common number system in the world.

## 5 Fun Facts about Hex and Decimal Numbers

1. The word “hexadecimal” comes from the Greek words “hex” (meaning “six”) and “deca” (meaning “ten”). This reflects the fact that hexadecimals use a base of 16, with the digits 0-9 representing the values 0-9, and the letters A-F representing the values 10-15.
2. In hexadecimals, the letters A-F are often used to represent the values 10-15 because these letters are easy to distinguish from the digits 0-9. This makes hexadecimals a more readable and user-friendly way to represent large numbers.
3. One of the most famous uses of hexadecimals is in the HTML code that is used to create websites. In HTML, colors are often represented using hexadecimal codes, with each of the red, green, and blue values of the color being represented by a pair of hexadecimal digits.
4. Many computer games also use hexadecimals to represent values such as colors, terrain types, and character attributes. This allows developers to store large amounts of data in a compact and easily readable form.
5. In mathematics, hexadecimals are often used to represent very large numbers that would be difficult to read and work with using traditional decimal notation. For example, the number FFFF in hexadecimal represents the much larger number 65535 in decimal.

## 5 Benefits about Hex and Decimal Numbers

1. Compact representation: Hexadecimals allow large numbers to be represented using fewer digits than would be required in decimal notation. This can be especially useful when working with large amounts of data or when space is limited.
2. Easier to read: Because hexadecimals use a combination of digits and letters, they can be easier to read and distinguish from one another than long strings of digits in decimal notation.
3. More user-friendly: Hexadecimals are often used in computer programming and other technical fields because they are easier for humans to read and understand than binary or other low-level representations.
4. More efficient: Hexadecimals can be more efficient to use in certain contexts, such as when working with large amounts of data that need to be stored or transmitted.
5. Widely used: Hexadecimals are used in a variety of fields, including computer programming, web development, and data storage, which means that they are a useful skill to have in many different professional contexts.

## 5 Funny Jokes about Numbers

1. “Why was the math book sad? Because it had too many problems.”
2. “Why was 6 afraid of 7? Because 7 8 9.”
3. “I tried to calculate how many sheep there were in Wales, but I kept getting Wales is not sheep.”
4. “Why did the tomato turn red? Because it saw the salad dressing!”
5. “Why was the number 4 unhappy? Because it was two squared and didn’t want to be squared away.”

## What is a Hexadecimal Number?

A hexadecimal number, or “hex” number for short, is a base-16 number used to represent larger integers in a more compact and convenient form.

## The Base-16 Numbering System

The base-16 numbering system, also known as hexadecimal or simply hex, uses 16 distinct symbols: the digits 0 to 9 and the letters A, B, C, D, E, and F.

## Uses of Hex Numbers

Hex numbers are often used in computer programming and data storage because they are more efficient than the base-10 numbering system that we use in everyday life. For example, a single hex digit can represent 4 bits of binary data, which allows for more compact representation of large numbers. This can be especially useful when working with large amounts of data or when communicating with devices that use binary representation.

## Notation of Hex Numbers

In order to distinguish hex numbers from other types of numbers, they are usually prefixed with “0x” or a dollar sign “\$”. For example, the hex number 0xFF would represent the decimal number 255, while the hex number \$FF would represent the same value.

## Converting Between Hex and Decimal

To convert a hex number to decimal, you can simply use a calculator or online converter tool. Alternatively, you can manually convert the number by multiplying each digit by the corresponding power of 16 and adding the results together.

Converting from decimal to hex is slightly more complicated, as it involves dividing the decimal number by 16 and keeping track of the remainder until the quotient is zero. However, there are also calculator tools and online converters that can make this process easier.

## Conclusion

In summary, a hexadecimal number is a compact and convenient way of representing large integers in the base-16 numbering system. It is commonly used in computer programming and data storage due to its efficiency, and can be easily converted to and from the base-10 numbering system that we use in everyday life.

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##### How convert hex to decimal?

To convert a hexadecimal to a decimal, you can use the following steps:

1. Write down the hexadecimal number and a placeholder for the decimal result.
2. Starting from the rightmost digit, multiply each digit in the hexadecimal number by the corresponding power of 16, as shown in the following table:

3. Add the results of all of the multiplications to get the decimal equivalent of the hexadecimal number.

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

1. Write down the hexadecimal number and a placeholder for the decimal result:
• Decimal:
2. Multiply each digit in the hexadecimal number by the corresponding power of 16:
• F x 1152921504606846976 = 1152921504606846976
• F x 72057594037927936 = 72057594037927936
• F x 4503599627370496 = 4503599627370496
• F x 281474976710656 = 281474976710656
3. Add the results of all of the multiplications to get the decimal equivalent of the hexadecimal number:
• Decimal: 1152921504606846976 + 72057594037927936 + 4503599627370496 + 281474976710656 = 4294967295

Therefore, the decimal equivalent of the hexadecimal number FFFF is 4294967295.

##### Is hex a 16 bit?

Hexadecimal is a base-16 numbering system that uses the digits 0-9 and the letters A-F to represent values. It is often used to represent large numbers in a more compact and easily readable form. In computer science, hexadecimals are often used to represent binary data, with each hexadecimal digit representing 4 bits of binary data. This means that a 16-bit number can be represented using 4 hexadecimal digits.

For example, the 16-bit binary number 1111111111111111 can be represented as FFFF in hexadecimal. In this case, each hexadecimal digit F represents the binary value 1111, which is equal to the decimal value 15. When combined, the four hexadecimal digits FFFF represent the binary number 1111111111111111, which is equal to the decimal value 65535.

##### Convert 7CA (hex) to decimal.

To convert the hexadecimal number 7CA to decimal, you can use the following steps:

1. Write down the hexadecimal number and a placeholder for the decimal result:
• Decimal:
2. Multiply each digit in the hexadecimal number by the corresponding power of 16:
• 7 x 4096 = 28672
• C x 256 = 3072
• A x 16 = 160
3. Add the results of all of the multiplications to get the decimal equivalent of the hexadecimal number:
• Decimal: 28672 + 3072 + 160 = 31804

Therefore, the decimal equivalent of the hexadecimal number 7CA is 31804.

##### What is FFFF hex in decimal?

The hexadecimal number FFFF represents the decimal number 4294967295. To convert it to decimal, you can use the following steps:

1. Write down the hexadecimal number and a placeholder for the decimal result:
• Decimal:
2. Multiply each digit in the hexadecimal number by the corresponding power of 16:
• F x 1152921504606846976 = 1152921504606846976
• F x 72057594037927936 = 72057594037927936
• F x 4503599627370496 = 4503599627370496
• F x 281474976710656 = 281474976710656
3. Add the results of all of the multiplications to get the decimal equivalent of the hexadecimal number:
• Decimal: 1152921504606846976 + 72057594037927936 + 4503599627370496 + 281474976710656 = 4294967295

Therefore, the decimal equivalent of the hexadecimal number FFFF is 4294967295.

##### What is 0x in hex?

In computer science, the prefix “0x” is often used to indicate a number that is written in hexadecimal (base 16) notation. For example, the number 0xFF could be written as FF in hexadecimal, and it would represent the decimal number 255.

The prefix “0x” is used to distinguish hexadecimal numbers from decimal or other numbering systems. It is a common convention in programming languages, especially when working with low-level systems or binary data.

For example, in the C programming language, the hexadecimal number 0xFF could be used to represent a byte of data, with each hexadecimal digit representing 4 bits of data. In this case, the hexadecimal number 0xFF would be equivalent to the binary number 11111111, which is equal to the decimal number 255.