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Convert numeral systems (dec <-> bin <-> hex <-> oct)

Posted 12-10-2013 at 03:41 AM by druuna
Updated 01-31-2014 at 03:24 AM by druuna

Tags binary, convert, decimal, hexadecimal, octal

Converting from one numeral system to another can be done using the bc command.

Here are a few examples in the form of functions:

# -------------------------------------------------------------------------- #
# - Decimal to ....
# -------------------------------------------------------------------------- #

Binary

PHP Code:



# Convert decimal to binary 
function decToBin() { 
  echo "obase=2;$1" | bc 
}

Code:

$ decToBin 19
10011

Hexadecimal

PHP Code:



# Convert decimal to hexadecimal 
function decToHex() { 
  echo "obase=16; $1" | bc 
}

Code:

$ decToHex 19
13

Octal

PHP Code:



# Convert decimal to octal 
function decToOct() { 
  echo "obase=8;$1" | bc 
}

Code:

$ decToOct 19
23

# -------------------------------------------------------------------------- #
# - Hexadecimal to ...
# -------------------------------------------------------------------------- #

Binary

PHP Code:



# Convert hexadecimal to binary 
function hexToBin() { 
  in=${1^^} 
  echo "ibase=16;obase=2;$in" | BC_LINE_LENGTH=0 bc 
}

Code:

$ hexToBin 13
10011

Decimal

PHP Code:



# Convert hexadecimal to decimal 
function hexToDec() { 
  in=${1^^} 
  echo "ibase=16;$in" | bc 
}

Code:

$ hexToDec 13
19

Octal

PHP Code:



# Convert hexadecimal to octal 
function hexToOct() { 
  in=${1^^} 
  echo "ibase=16;obase=8;$in" | bc 
}

Code:

$ hexToOct 13
23

The above is based on bash4, if an older bash version is used change: in=${1^^}
to: in=$( echo $1 | tr '[:lower:]' '[:upper:]' )

# -------------------------------------------------------------------------- #
# - Binary to ...
# -------------------------------------------------------------------------- #

Decimal

PHP Code:



# Convert binary to decimal 
function binToDec() { 
  echo "ibase=2;$1" | bc 
}

Code:

$ binToDec 10011
19

Hexadecimal

PHP Code:



# Convert binary to hexadecimal 
function binToHex() { 
  echo "ibase=2;obase=10000;$1" | bc 
}

Code:

$ binToHex 10011
13

Octal

PHP Code:



# Convert binary to octal 
function binToOct() { 
  echo "ibase=2;obase=1000;$1" | bc 
}

Code:

$ binToOct 10011
23

# -------------------------------------------------------------------------- #
# - Octal to ...
# -------------------------------------------------------------------------- #

Binary

PHP Code:



# Convert octal to binary 
function octToBin() { 
  echo "ibase=8;obase=2;$1" | bc 
}

Code:

$ octToBin 23
10011

Decimal

PHP Code:



# Convert octal to decimal 
function octToDec() { 
  echo "ibase=8;obase=12;$1" | bc 
}

Code:

$ octToDec 23
19

Hexadecimal

PHP Code:



# Convert octal to hexadecimal 
function octToHex() { 
  echo "ibase=8;obase=20;$1" | bc 
}

Code:

$ octToHex 23
13

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