Convert numbers to different number systems

A number system is a systematic way to represent numbers with symbolic characters and uses a base value to conveniently group numbers in compact form. The most common number system is decimal, which has a base value of 10, and a symbolic character set of 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. However, there are other number systems, and they can be more efficient to use for a specific purpose. For example, because computers use Boolean logic to perform calculations and operations, they use the binary number system, which has a base value of 2.

Microsoft Office Excel has several functions that you can use to convert numbers to and from the following number systems:

Number system Base value Symbolic character set
Binary 2 0,1
Octal 8 0, 1, 2, 3, 4, 5, 6, 7
Decimal 10 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9
Hexadecimal 16 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F

What do you want to do?

Convert a binary number to decimal

Convert a binary number to hexadecimal

Convert a binary number to octal

Converts a decimal number to binary

Convert a decimal number to hexadecimal

Convert a decimal number to octal

Convert a hexadecimal number to binary

Convert a hexadecimal number to decimal

Convert a hexadecimal number to octal

Convert an octal number to binary

Convert an octal number to decimal

Convert an octal number to hexadecimal


Convert a binary number to decimal

To do this task, use the BIN2DEC function.

Example

The example may be easier to understand if you copy it to a blank worksheet.

ShowHow to copy an example

  1. Create a blank workbook or worksheet.
  2. Select the example in the Help topic.

 Note   Do not select the row or column headers.

Selecting an example from Help

Selecting an example from Help
  1. Press CTRL+C.
  2. In the worksheet, select cell A1, and press CTRL+V.
  3. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.
 
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Formula Description (Result)
=BIN2DEC(1100100) Converts binary 1100100 to decimal (100)
=BIN2DEC(1111111111) Converts binary 1111111111 to decimal (-1)

Function details

BIN2DEC

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Convert a binary number to hexadecimal

To do this task, use the BIN2HEX function.

Example

The example may be easier to understand if you copy it to a blank worksheet.

ShowHow to copy an example

  1. Create a blank workbook or worksheet.
  2. Select the example in the Help topic.

 Note   Do not select the row or column headers.

Selecting an example from Help

Selecting an example from Help
  1. Press CTRL+C.
  2. In the worksheet, select cell A1, and press CTRL+V.
  3. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.
 
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A B
Formula Description (Result)
=BIN2HEX(11111011, 4) Converts binary 11111011 to hexadecimal with 4 characters (00FB)
=BIN2HEX(1110) Converts binary 1110 to hexadecimal (E)
=BIN2HEX(1111111111) Converts binary 1111111111 to hexadecimal (FFFFFFFFFF)

Function details

BIN2HEX

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Convert a binary number to octal

To do this task, use the BIN2OCT function.

Example

The example may be easier to understand if you copy it to a blank worksheet.

ShowHow to copy an example

  1. Create a blank workbook or worksheet.
  2. Select the example in the Help topic.

 Note   Do not select the row or column headers.

Selecting an example from Help

Selecting an example from Help
  1. Press CTRL+C.
  2. In the worksheet, select cell A1, and press CTRL+V.
  3. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.
 
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A B
Formula Description (Result)
=BIN2OCT(1001, 3) Converts binary 1001 to octal with 3 characters (011)
=BIN2OCT(1100100) Converts binary 1100100 to octal (144)
=BIN2OCT(1111111111) Converts binary 1111111111 to octal (7777777777)

Function details

BIN2OCT

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Converts a decimal number to binary

To do this task, use the DEC2BIN function.

Example

The example may be easier to understand if you copy it to a blank worksheet.

ShowHow to copy an example

  1. Create a blank workbook or worksheet.
  2. Select the example in the Help topic.

 Note   Do not select the row or column headers.

Selecting an example from Help

Selecting an example from Help
  1. Press CTRL+C.
  2. In the worksheet, select cell A1, and press CTRL+V.
  3. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.
 
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A B
Formula Description (Result)
=DEC2BIN(9, 4) Converts decimal 9 to binary with 4 characters (1001)
=DEC2BIN(-100) Converts decimal -100 to binary (1110011100)

Function details

DEC2BIN

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Convert a decimal number to hexadecimal

To do this task, use the DEC2HEX function.

Example

The example may be easier to understand if you copy it to a blank worksheet.

ShowHow to copy an example

  1. Create a blank workbook or worksheet.
  2. Select the example in the Help topic.

 Note   Do not select the row or column headers.

Selecting an example from Help

Selecting an example from Help
  1. Press CTRL+C.
  2. In the worksheet, select cell A1, and press CTRL+V.
  3. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.
 
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A B
Formula Description (Result)
=DEC2HEX(100, 4) Converts decimal 100 to hexadecimal with 4 characters (0064)
=DEC2HEX(-54) Converts decimal -54 to hexadecimal (FFFFFFFFCA)

Function details

DEC2HEX

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Convert a decimal number to octal

To do this task, use the DEC2OCT function.

Example

The example may be easier to understand if you copy it to a blank worksheet.

ShowHow to copy an example

  1. Create a blank workbook or worksheet.
  2. Select the example in the Help topic.

 Note   Do not select the row or column headers.

Selecting an example from Help

Selecting an example from Help
  1. Press CTRL+C.
  2. In the worksheet, select cell A1, and press CTRL+V.
  3. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.
 
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A B
Formula Description (Result)
=DEC2OCT(58, 3) Converts decimal 58 to octal (072)
=DEC2OCT(-100) Converts decimal to octal (7777777634)

Function details

DEC2OCT

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Convert a hexadecimal number to binary

To do this task, use the HEX2BIN function.

Example

The example may be easier to understand if you copy it to a blank worksheet.

ShowHow to copy an example

  1. Create a blank workbook or worksheet.
  2. Select the example in the Help topic.

 Note   Do not select the row or column headers.

Selecting an example from Help

Selecting an example from Help
  1. Press CTRL+C.
  2. In the worksheet, select cell A1, and press CTRL+V.
  3. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.
 
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A B
Formula Description (Result)
=HEX2BIN("F", 8) Converts hexadecimal F to binary, with 8 characters (00001111)
=HEX2BIN("B7") Converts hexadecimal B7 to binary (10110111)
=HEX2BIN("FFFFFFFFFF") Converts hexadecimal FFFFFFFFFF to binary (1111111111)

Function details

HEX2BIN

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Convert a hexadecimal number to decimal

To do this task, use the HEX2DEC function.

Example

The example may be easier to understand if you copy it to a blank worksheet.

ShowHow to copy an example

  1. Create a blank workbook or worksheet.
  2. Select the example in the Help topic.

 Note   Do not select the row or column headers.

Selecting an example from Help

Selecting an example from Help
  1. Press CTRL+C.
  2. In the worksheet, select cell A1, and press CTRL+V.
  3. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.
 
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A B
Formula Description (Result)
=HEX2DEC("A5") Converts hexadecimal A5 to decimal (165)
=HEX2DEC("FFFFFFFF5B") Converts hexadecimal FFFFFFFF5B to decimal (-165)
=HEX2DEC("3DA408B9") Converts hexadecimal 3DA408B9 to decimal (1034160313)

Function details

HEX2DEC

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Convert a hexadecimal number to octal

To do this task, use the HEX2OCT function.

Example

The example may be easier to understand if you copy it to a blank worksheet.

ShowHow to copy an example

  1. Create a blank workbook or worksheet.
  2. Select the example in the Help topic.

 Note   Do not select the row or column headers.

Selecting an example from Help

Selecting an example from Help
  1. Press CTRL+C.
  2. In the worksheet, select cell A1, and press CTRL+V.
  3. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.
 
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A B
Formula Description (Result)
=HEX2OCT("F", 3) Converts hexadecimal F to octal with 3 characters (017)
=HEX2OCT("3B4E") Converts hexadecimal 3B4E to octal (35516)
=HEX2OCT("FFFFFFFF00") Converts hexadecimal FFFFFFFF00 to octal (7777777400)

Function details

HEX2OCT

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Convert an octal number to binary

To do this task, use the OCT2BIN function.

Example

The example may be easier to understand if you copy it to a blank worksheet.

ShowHow to copy an example

  1. Create a blank workbook or worksheet.
  2. Select the example in the Help topic.

 Note   Do not select the row or column headers.

Selecting an example from Help

Selecting an example from Help
  1. Press CTRL+C.
  2. In the worksheet, select cell A1, and press CTRL+V.
  3. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.
 
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A B
Formula Description (Result)
=OCT2BIN(3, 3) Converts octal 3 to binary with 3 characters (011)
=OCT2BIN(7777777000) Converts octal 7777777000 to binary (1000000000)

Function details

OCT2BIN

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Convert an octal number to decimal

To do this task, use the OCT2DEC function.

Example

The example may be easier to understand if you copy it to a blank worksheet.

ShowHow to copy an example

  1. Create a blank workbook or worksheet.
  2. Select the example in the Help topic.

 Note   Do not select the row or column headers.

Selecting an example from Help

Selecting an example from Help
  1. Press CTRL+C.
  2. In the worksheet, select cell A1, and press CTRL+V.
  3. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.
 
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A B
Formula Description (Result)
=OCT2DEC(54) Converts octal 54 to decimal (44)
=OCT2DEC(7777777533) Converts octal 7777777533 to decimal (-165)

Function details

OCT2DEC

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Convert an octal number to hexadecimal

To do this task, use the OCT2HEX function.

Example

The example may be easier to understand if you copy it to a blank worksheet.

ShowHow to copy an example

  1. Create a blank workbook or worksheet.
  2. Select the example in the Help topic.

 Note   Do not select the row or column headers.

Selecting an example from Help

Selecting an example from Help
  1. Press CTRL+C.
  2. In the worksheet, select cell A1, and press CTRL+V.
  3. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.
 
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A B
Formula Description (Result)
=OCT2HEX(100, 4) Converts octal number 100 to hexadecimal with 4 characters (0040)
=OCT2HEX(7777777533) Converts octal number 7777777533 to hexadecimal (FFFFFFFF5B)

Function details

OCT2HEX

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Applies to:
Excel 2003