Hex to dec android

Hexadecimal to Decimal Converter

To use this online hex to decimal converter tool, type a hex value like 1E into the left field below, and then hit the Convert button. You can convert up to 16 hex characters (max. value of 7fffffffffffffff) to decimal.

How to Calculate Hexadecimal to Decimal

Hex is a base 16 number and decimal is a base 10 number. We need to know the decimal equivalent of every hex number digit. See below of the page to check the hex to decimal chart.
Here are the steps to convert hex to decimal:

• Get the decimal equivalent of hex from table.
• Multiply every digit with 16 power of digit location.
  (zero based, 7DE: E location is 0, D location is 1 and the 7 location is 2)
• Sum all the multipliers.

Here is an example:

Hexadecimal System (Hex System)

The hexadecimal system (shortly hex), uses the number 16 as its base (radix). As a base-16 numeral system, it uses 16 symbols. These are the 10 decimal digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) and the first six letters of the English alphabet (A, B, C, D, E, F). The letters are used because of the need to represent the values 10, 11, 12, 13, 14 and 15 each in one single symbol.

Hex is used in mathematics and information technologies as a more friendly way to represent binary numbers. Each hex digit represents four binary digits; therefore, hex is a language to write binary in an abbreviated form.

Four binary digits (also called nibbles) make up half a byte. This means one byte can carry binary values from 0000 0000 to 1111 1111. In hex, these can be represented in a friendlier fashion, ranging from 00 to FF.

In html programming, colors can be represented by a 6-digit hexadecimal number: FFFFFF represents white whereas 000000 represents black.

Decimal System

The decimal numeral system is the most commonly used and the standard system in daily life. It uses the number 10 as its base (radix). Therefore, it has 10 symbols: The numbers from 0 to 9; namely 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

As one of the oldest known numeral systems, the decimal numeral system has been used by many ancient civilizations. The difficulty of representing very large numbers in the decimal system was overcome by the Hindu–Arabic numeral system. The Hindu-Arabic numeral system gives positions to the digits in a number and this method works by using powers of the base 10; digits are raised to the n th power, in accordance with their position.

For instance, take the number 2345.67 in the decimal system:

• The digit 5 is in the position of ones (10 0 , which equals 1),
• 4 is in the position of tens (10 1 )
• 3 is in the position of hundreds (10 2 )
• 2 is in the position of thousands (10 3 )
• Meanwhile, the digit 6 after the decimal point is in the tenths (1/10, which is 10 -1 ) and 7 is in the hundredths (1/100, which is 10 -2 ) position
• Thus, the number 2345.67 can also be represented as follows: (2 * 10 3 ) + (3 * 10 2 ) + (4 * 10 1 ) + (5 * 10 0 ) + (6 * 10 -1 ) + (7 * 10 -2 )

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How do you convert to/from hexadecimal in Java?

This article explains hexadecimal numbers and then shows how you can convert a string to an integer in Java and vice versa in order to perform hex/decimal conversions. The links at the bottom of the page also provide further resources related to string and data conversion in Java.

Introduction to hex

Hexadecimal (or «hex» for short) is a numbering system which works similarly to our regular decimal system, but where a single digit can take a value of 0-15 rather than 0-9. The extra ‘digits’ are the letters A-F, which represent decimal values 10-15, as shown in the table below. In Java code (as in many programming languages), hexadecimal nubmers are written by placing 0x before them. For example, 0x100 means ‘the hexadecimal number 100’ (=256 in decimal).

Decimal values of hexadecimal digits.

Decimal	Hexadecimal
0	0
1	1
.
9	9
10	A
11	B
12	C
13	D
14	E
15	F

In the decimal system, since there are 10 possible digits, each digit that we add to the left of a number has ten times the place value. For example, in a three digit number, the three digits represent hundreds (=10×10), tens and units respectively. In the hexadecimal system, there are 16 possible digits. So each time we add a digit to th eleft, its place value is 16 times greater. So in a two-digit hex number, the first digit represents the number of 16s, and the second digit the number of units (where the highest unit has a decimal value of 15). For example, the hexadecimal number 0x8A represents a decimal value of (8 * 16 + 10) = (128 + 10) = 138. In a three-digit hexadecimal number, the first digit represents the number of 256s (=16*16), etc.

Why use hexadecimal?

You may be wondering why we would want to use the hexadecimal numbering system at all. Simply put, the reason is that hexadecimal is more «in tune» with how numbers are organised internally when it comes to computer memory and data. The divisions between hexadecimal digits correspond more closely to the divisions between the bytes making up that number when it is stored. The number 1024— the multiplier for going from byte to kilobyte to megabyte etc— becomes 400 in hex and so values such as 2048 (=2K) which look a little «awkward» or «hard to judge» in decimal become nice «round» numbers when converted into hex. Here are some examples:

Hex number	Decimal equivalent	Comm meaning/usage
100	256	Number of possible values that a single byte can hold.
400	1024	Number of bytes in a kilobyte; number of kilobytes in a megabyte, etc.
2000	8192	Number of bytes in 8K; number of bytes in a SQL Server database page (and other common file/memory organisation).
10000	65536	Number of bytes in 64K; possible values that two bytes together can hold. (Or, for example, possible values that can fit in a Java short.)
1000000	16777216	Number of distinct colours if we assign one byte each to the red, green and blue components. (Number of values that can be assigned to a 24-bit number.)

Notice how these numbers are slightly ‘awkward’ in decimal, but are nice «round» numbers in hexadecimal. For this reason, once you get used to working in hex, it can actually be more convenient for counting things such as memory offsets or number of combinations of values compared to working in decimal. Other common uses of hex that you will regularly see in code include colour definitions and UTF8 character codes.

How to convert from decimal to hex

Often, we will have a hex number in a string and need to parse or convert the number stored in the string. Assuming that we have our hex number in a string, then a simple way to convert the hex number to decimal is to call Integer.parseInt(), passing in 16 as the second parameter:

The number 16 refers to base 16, i.e. a number system (hexadecimal) where each digit represents one of 16 values (0-9 and A-F give 16 possibilities, representing the values 0-15 as in the table above).

In order to convert larger or unsigned numbers to decimal, we will need to use other methods such as Long.parseLong() (see also the example below).

How to convert from decimal to hex

To go the other way round and convert decimal to hex in Java, you can use the utility method Integer.toHexString(). If you have the value that you want to convert in an int variable, then you can simply call:

If you have the decimal number in a String, then you first call Integer.parseInt() but this time you don’t need any second parameter— decimal is the default:

How to convert a long to and from hex

In case you need it, the Long class has Long.parseLong() and Long.toHexString() analogous to the Integer methods above.

How to write a hex number in Java code

Sometimes it is convenient to represent a number in hex in your Java code. There are generally two conventions for writing hex numbers. The first is to write h after the hex number. For example, 400h is the equivalent of 1024 decimal. This convention is mainly used in written texts.

The second convention was already mentioned above. This is to put 0x before the number, e.g. 0x400. This is the convenion used by Java, as in many programming languages nowadays:

(Another convention, sometimes used in assembly language, is to place a dollar sign ($) before the hex number, e.g. $400 is the same as 400h or 0x400.)

How to write 64-bit hex numers in Java code

As you are probably aware, if you want to write a long (64-bit) constant in Java code, you must place an L after the constant. The same is true if you write the number in hexadecimal. In this case, you will end up with the 0x prefix and the L suffix. For example:

Related articles

The following articles contain further information on topics related to the conversion of numbers and data in Java:

• more information on string to integer conversion in Java;
• dealing with unsigned numbers and operations in Java;
• Java printf(), sprintf and fprintf equivalents;
• the Java regular expressions package, which is extremely useful for interpreting and validating data, file contents etc;
• the Java Collections API, which contains a variety of data structures and algorithms such as implementations of maps, sets etc;
• a binary numbers tutorial;
• the Java ByteBuffer and related classes provided for data manipulation as part of the Java NIO package.

A variety of other Java tutorials are also available on this site.

If you enjoy this Java programming article, please share with friends and colleagues. Follow the author on Twitter for the latest news and rants. Follow @BitterCoffey

Editorial page content written by Neil Coffey. Copyright © Javamex UK 2021. All rights reserved.

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Decimal to Hexadecimal Converter

To use this decimal to hex converter tool, you have to type a decimal value like 79 into the left field below, and then hit the Convert button. Therefore, you can convert up to 19 decimal characters (max. value of 9223372036854775807) to hex.

Decimal System

The decimal numeral system is the most commonly used and the standard system in daily life. It uses the number 10 as its base (radix). Therefore, it has 10 symbols: The numbers from 0 to 9; namely 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

As one of the oldest known numeral systems, the decimal numeral system has been used by many ancient civilizations. The difficulty of representing very large numbers in the decimal system was overcome by the Hindu–Arabic numeral system. The Hindu-Arabic numeral system gives positions to the digits in a number and this method works by using powers of the base 10; digits are raised to the n th power, in accordance with their position.

For instance, take the number 2345.67 in the decimal system:

• The digit 5 is in the position of ones (10 0 , which equals 1),
• 4 is in the position of tens (10 1 )
• 3 is in the position of hundreds (10 2 )
• 2 is in the position of thousands (10 3 )
• Meanwhile, the digit 6 after the decimal point is in the tenths (1/10, which is 10 -1 ) and 7 is in the hundredths (1/100, which is 10 -2 ) position
• Thus, the number 2345.67 can also be represented as follows: (2 * 10 3 ) + (3 * 10 2 ) + (4 * 10 1 ) + (5 * 10 0 ) + (6 * 10 -1 ) + (7 * 10 -2 )

Hexadecimal System (Hex System)

The hexadecimal system (shortly hex), uses the number 16 as its base (radix). As a base-16 numeral system, it uses 16 symbols. These are the 10 decimal digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) and the first six letters of the English alphabet (A, B, C, D, E, F). The letters are used because of the need to represent the values 10, 11, 12, 13, 14 and 15 each in one single symbol.

Hex is used in mathematics and information technologies as a more friendly way to represent binary numbers. Each hex digit represents four binary digits; therefore, hex is a language to write binary in an abbreviated form.

Four binary digits (also called nibbles) make up half a byte. This means one byte can carry binary values from 0000 0000 to 1111 1111. In hex, these can be represented in a friendlier fashion, ranging from 00 to FF.

In html programming, colors can be represented by a 6-digit hexadecimal number: FFFFFF represents white whereas 000000 represents black.

How to Convert Decimal to Hex

Decimal to hexadecimal conversion can be achieved by applying the repeated division and remainder algorithm. Simply put, the decimal number is repeatedly divided by the radix 16. In between these divisions, the remainders give the hex equivalent in reverse order.

Here is how to convert decimal to hex step by step:

• Step 1: If the given decimal number is less than 16, the hex equivalent is the same. Remembering that the letters A, B, C, D, E and F are used for the values 10, 11, 12, 13, 14 and 15, convert accordingly. For example, the decimal number 15 will be F in hex.
• Step 2: If the given decimal number is 16 or greater, divide the number by 16.
• Step 3: Write down the remainder.
• Step 4: Divide the part before the decimal point of your quotient by 16 again. Write down the remainder.
• Step 5: Continue this process of dividing by 16 and noting the remainders until the last decimal digit you are left with is less than 16.
• Step 6: When the last decimal digit is less than 16, the quotient will be less than 0 and the remainder will be the digit itself.
• Step 7: The last remainder you get will be the most significant digit of your hex value while the first remainder from Step 3 is the least significant digit. Therefore, when you write the remainders in reverse order — starting at the bottom with the most significant digit and going to the top- you will reach the hex value of the given decimal number.

Now, let’s apply these steps to, for example, the decimal number (501)₁₀

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