Binary to Decimal to Hexadecimal Converter

Converter

Ultimate Binary to Decimal to Hexadecimal Converter. Our binary to/from hexadecimal to/from to/from converter can convert fraction numbers too.

Binary to Decimal to Hexadecimal Converter

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How to use the Binary-Decimal-Hexadecimal Converter?

Our Bin-to-Dec-to-Hex converter is a very easy-to-use online tool that will enable you to perform a conversion of any binary, decimal, or hexadecimal number quickly. You can enter a number in any field and the conversion is immediate. So for example, if you start to write a binary number in the binary number field, you can see the result of the decimal and hexadecimal conversion in real-time.  Our free tool can perform the following operations:

  • Binary to Decimal Conversion (as a Bin to Dec Converter)
  • Binary to Hexadecimal Conversion (as a Bin to Hex Converter)
  • Decimal to Binary Conversion (as a Dec to Bin Converter)
  • Decimal to Hexadecimal Conversion (as a Dec to Hex Converter)
  • Hexadecimal to Decimal Conversion (as a Hex to Dec Converter)
  • Hexadecimal to Binary Conversion (as a Hex to Bin Converter)

Example calculations: Binary to Decimal Converter

1 Binary to Decimal10 Binary to Decimal11 Binary to Decimal
100 Binary to Decimal101 Binary to Decimal110 Binary to Decimal
111 Binary to Decimal1000 Binary to Decimal1001 Binary to Decimal
1010 Binary to Decimal1011 Binary to Decimal1100 Binary to Decimal
1101 Binary to Decimal1110 Binary to Decimal1111 Binary to Decimal
10000 Binary to Decimal10001 Binary to Decimal10010 Binary to Decimal
10011 Binary to Decimal10100 Binary to Decimal10101 Binary to Decimal
10110 Binary to Decimal10111 Binary to Decimal11000 Binary to Decimal
11001 Binary to Decimal11010 Binary to Decimal11011 Binary to Decimal
11100 Binary to Decimal11101 Binary to Decimal11110 Binary to Decimal
11111 Binary to Decimal100000 Binary to Decimal100001 Binary to Decimal
100010 Binary to Decimal100011 Binary to Decimal100100 Binary to Decimal
100101 Binary to Decimal100110 Binary to Decimal100111 Binary to Decimal

Example calculations: Binary to Hexadecimal Converter

1 Binary to Hexadecimal10 Binary to Hexadecimal11 Binary to Hexadecimal
100 Binary to Hexadecimal101 Binary to Hexadecimal110 Binary to Hexadecimal
111 Binary to Hexadecimal1000 Binary to Hexadecimal1001 Binary to Hexadecimal
1010 Binary to Hexadecimal1011 Binary to Hexadecimal1100 Binary to Hexadecimal
1101 Binary to Hexadecimal1110 Binary to Hexadecimal1111 Binary to Hexadecimal
10000 Binary to Hexadecimal10001 Binary to Hexadecimal10010 Binary to Hexadecimal
10011 Binary to Hexadecimal10100 Binary to Hexadecimal10101 Binary to Hexadecimal
10110 Binary to Hexadecimal10111 Binary to Hexadecimal11000 Binary to Hexadecimal
11001 Binary to Hexadecimal11010 Binary to Hexadecimal11011 Binary to Hexadecimal
11100 Binary to Hexadecimal11101 Binary to Hexadecimal11110 Binary to Hexadecimal
11111 Binary to Hexadecimal100000 Binary to Hexadecimal100001 Binary to Hexadecimal
100010 Binary to Hexadecimal100011 Binary to Hexadecimal100100 Binary to Hexadecimal
100101 Binary to Hexadecimal100110 Binary to Hexadecimal100111 Binary to Hexadecimal

Example calculations: Decimal to Binary Converter

1 Decimal to Binary2 Decimal to Binary3 Decimal to Binary
4 Decimal to Binary5 Decimal to Binary6 Decimal to Binary
7 Decimal to Binary8 Decimal to Binary9 Decimal to Binary
10 Decimal to Binary11 Decimal to Binary12 Decimal to Binary
13 Decimal to Binary14 Decimal to Binary15 Decimal to Binary
16 Decimal to Binary17 Decimal to Binary18 Decimal to Binary
19 Decimal to Binary20 Decimal to Binary21 Decimal to Binary
22 Decimal to Binary23 Decimal to Binary24 Decimal to Binary
25 Decimal to Binary26 Decimal to Binary27 Decimal to Binary
28 Decimal to Binary29 Decimal to Binary30 Decimal to Binary
31 Decimal to Binary32 Decimal to Binary33 Decimal to Binary
34 Decimal to Binary35 Decimal to Binary36 Decimal to Binary
37 Decimal to Binary38 Decimal to Binary39 Decimal to Binary

Example calculations: Decimal to Hexadecimal Converter

1 Decimal to Hexadecimal2 Decimal to Hexadecimal3 Decimal to Hexadecimal
4 Decimal to Hexadecimal5 Decimal to Hexadecimal6 Decimal to Hexadecimal
7 Decimal to Hexadecimal8 Decimal to Hexadecimal9 Decimal to Hexadecimal
10 Decimal to Hexadecimal11 Decimal to Hexadecimal12 Decimal to Hexadecimal
13 Decimal to Hexadecimal14 Decimal to Hexadecimal15 Decimal to Hexadecimal
16 Decimal to Hexadecimal17 Decimal to Hexadecimal18 Decimal to Hexadecimal
19 Decimal to Hexadecimal20 Decimal to Hexadecimal21 Decimal to Hexadecimal
22 Decimal to Hexadecimal23 Decimal to Hexadecimal24 Decimal to Hexadecimal
25 Decimal to Hexadecimal26 Decimal to Hexadecimal27 Decimal to Hexadecimal
28 Decimal to Hexadecimal29 Decimal to Hexadecimal30 Decimal to Hexadecimal
31 Decimal to Hexadecimal32 Decimal to Hexadecimal33 Decimal to Hexadecimal
34 Decimal to Hexadecimal35 Decimal to Hexadecimal36 Decimal to Hexadecimal
37 Decimal to Hexadecimal38 Decimal to Hexadecimal39 Decimal to Hexadecimal

Example calculations: Hexadecimal to Binary Converter

1 Hexadecimal to Binary2 Hexadecimal to Binary3 Hexadecimal to Binary
4 Hexadecimal to Binary5 Hexadecimal to Binary6 Hexadecimal to Binary
7 Hexadecimal to Binary8 Hexadecimal to Binary9 Hexadecimal to Binary
a Hexadecimal to Binaryb Hexadecimal to Binaryc Hexadecimal to Binary
d Hexadecimal to Binarye Hexadecimal to Binaryf Hexadecimal to Binary
10 Hexadecimal to Binary11 Hexadecimal to Binary12 Hexadecimal to Binary
13 Hexadecimal to Binary14 Hexadecimal to Binary15 Hexadecimal to Binary
16 Hexadecimal to Binary17 Hexadecimal to Binary18 Hexadecimal to Binary
19 Hexadecimal to Binary1a Hexadecimal to Binary1b Hexadecimal to Binary
1c Hexadecimal to Binary1d Hexadecimal to Binary1e Hexadecimal to Binary
1f Hexadecimal to Binary20 Hexadecimal to Binary21 Hexadecimal to Binary
22 Hexadecimal to Binary23 Hexadecimal to Binary24 Hexadecimal to Binary
25 Hexadecimal to Binary26 Hexadecimal to Binary27 Hexadecimal to Binary

Example calculations: Hexadecimal to Decimal Converter

1 Hexadecimal to Decimal2 Hexadecimal to Decimal3 Hexadecimal to Decimal
4 Hexadecimal to Decimal5 Hexadecimal to Decimal6 Hexadecimal to Decimal
7 Hexadecimal to Decimal8 Hexadecimal to Decimal9 Hexadecimal to Decimal
a Hexadecimal to Decimalb Hexadecimal to Decimalc Hexadecimal to Decimal
d Hexadecimal to Decimale Hexadecimal to Decimalf Hexadecimal to Decimal
10 Hexadecimal to Decimal11 Hexadecimal to Decimal12 Hexadecimal to Decimal
13 Hexadecimal to Decimal14 Hexadecimal to Decimal15 Hexadecimal to Decimal
16 Hexadecimal to Decimal17 Hexadecimal to Decimal18 Hexadecimal to Decimal
19 Hexadecimal to Decimal1a Hexadecimal to Decimal1b Hexadecimal to Decimal
1c Hexadecimal to Decimal1d Hexadecimal to Decimal1e Hexadecimal to Decimal
1f Hexadecimal to Decimal20 Hexadecimal to Decimal21 Hexadecimal to Decimal
22 Hexadecimal to Decimal23 Hexadecimal to Decimal24 Hexadecimal to Decimal
25 Hexadecimal to Decimal26 Hexadecimal to Decimal27 Hexadecimal to Decimal
Q&A

Binary, Decimal, Hexadecimal numbers

What does binary number mean?

The binary number system is a numerical system where digits consist only of 1 and 0. Binary numbers are mainly used in computer science, this is the native language of computers because it describes the state of a bit, a logical value.

What is a decimal?

The decimal numeral system is the standard system for denoting integer and non-integer numbers. A decimal numeral refers generally to the notation of a number in the decimal numeral system. For writing numbers, the decimal system uses ten decimal digits, a decimal mark, and, for negative numbers, a minus sign “−”. The decimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9; the decimal separator is the dot “.” in many countries, but also a comma “,” in other countries.

What does a hexadecimal number mean?

Hexadecimal refers to the base-16 number system, that represents numbers using a radix (base) of 16. The numerals 0–9 are used to represent their usual values and the letters A–F (or a–f) represent the values 10–15. For example, the decimal number 13 is represented as D (or d) in the hexadecimal numbering system.

Hexadecimal numerals are widely used by computer system designers and programmers as they can represent every byte (8 bits) as two consecutive hexadecimal digits. In this way, hexadecimal numerals provide a human-friendly representation of binary-coded values.

Binary to/from Decimal to/from Hexadecimal Conversion

How can I convert from Binary to Decimal?

In the binary system, each digit represents an increasing power of 2, with therightmost digit representing 20, the next representing 21, then 22, and so on.The value of a binary number is the sum of the powers of 2 represented by each“1” digit.

Forexample:

11001=1·24 + 1·23 + 0·22 + 0·21 + 1·20=16 + 8 + 0 + 0 + 1=25

How do I convert a Binary number to a Hexadecimal number?

Fortunately, binary decimal conversion is very simple. All you need to do is divide the binary format number into blocks of 4 and convert them one by one. For example, conversions of 10101111 can be solved in two steps. 1010 represents 10 in the decimal and A in hexadecimal. The number 1111 represents 15 in the decimal system, so F in the hexadecimal systems. So the previous binary number is AF in hexadecimal.

How can I convert from decimal to binary?

To convert from decimal to its binary, the number is divided by two. The remainder is the least-significant bit. The quotient is again divided by two; its remainder becomes the next least significant bit. This process repeats until a quotient of one is reached. The sequence of remainders (including the final quotient of one) forms the binary value, as each remainder must be either zero or one when dividing by two.

How to convert from decimal to hexadecimal (or dec to hex)?

There are several algorithms that you can use for hex to dec conversion. The algorithm below is a simple one for converting a representation of a number to hexadecimal by doing integer division and remainder operations in the source base.

  1. Divide the number by 16.
  2. Get the integer quotient for the next iteration.
  3. Get the remainder for the hexadecimal digit (0-9 and a-f).
  4. Repeat the steps above until the quotient is equal to 0.

Let’s say we have the decimal number 195. Here is how you can use the algorithm shown above.

  • 195 / 16 -> quotient=12, reminder is 3 (which is also 3 in hexadecimal).
  • 12 / 17 -> quotient=0, reminder is 12 (which is ‘C’ in hexadecimal).
  • So 19510=C316

How do I convert a hexadecimal number to a binary number?

The operation is relatively simple, due to the fact that 16 can also be described as the power of 2. All we have to do is to rewrite the digits of the number. For example, the hexadecimal value ‘1F’ can be easily converted by converting the digits to the binary system while maintaining the local value like this:  0001 (1) and 1111 (F) – 00011111.

How to convert hexadecimal to decimal (or hex to dec)?

One of the most well-known formulas for converting a hexadecimal number to decimal is the “Division-remainder in source base” algorithm. This is a simple algorithm for converting a representation of a number to hexadecimal by doing integer division and remainder operations in the source base. In theory, this is possible from any base, but for most humans only decimal, and for most computers only binary can be easily handled with this method.

Let d be the number to represent in hexadecimal, and the series hihi−1…h2h1 be the hexadecimal digits representing the number.

  1. i ← 1
  2. hi ← d mod 16
  3. d ← (d − hi) / 16
  4. If d=0 (return series hi) else increment i and go to step 2

“16” may be replaced with any other base that may be desired.

The bin-to-dex-to-hex conversion routine is based on Gabu Siddharth’s excellent work.

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