Numerical Constants

A shell script interprets a number as decimal (base 10), unless that number has a special prefix or notation. A number preceded by a 0 is octal (base 8). A number preceded by 0x is hexadecimal (base 16). A number with an embedded # evaluates as BASE#NUMBER (with range and notational restrictions).

Representation of numerical constants

#!/bin/bash # numbers.sh: Representation of numbers in different bases.

# Decimal: the default let "dec = 32" echo "decimal number = $dec" # 32 # Nothing out of the ordinary here.

# Octal: numbers preceded by '0' (zero) let "oct = 032" echo "octal number = $oct" # 26 # Expresses result in decimal. # --------- ------ -- -------

# Hexadecimal: numbers preceded by '0x' or '0X' let "hex = 0x32" echo "hexadecimal number = $hex" # 50

echo $((0x9abc)) # 39612 # ^^ ^^ double-parentheses arithmetic expansion/evaluation # Expresses result in decimal.

# Other bases: BASE#NUMBER # BASE between 2 and 64. # NUMBER must use symbols within the BASE range, see below.

let "bin = 2#111100111001101" echo "binary number = $bin" # 31181

let "b32 = 32#77" echo "base-32 number = $b32" # 231

let "b64 = 64#@_" echo "base-64 number = $b64" # 4031 # This notation only works for a limited range (2 - 64) of ASCII characters. # 10 digits + 26 lowercase characters + 26 uppercase characters + @ + _

echo

echo $((36#zz)) $((2#10101010)) $((16#AF16)) $((53#1aA)) # 1295 170 44822 3375

# Important note: # -------------- # Using a digit out of range of the specified base notation #+ gives an error message.

let "bad_oct = 081" # (Partial) error message output: # bad_oct = 081: value too great for base (error token is "081") # Octal numbers use only digits in the range 0 - 7.

exit $? # Exit value = 1 (error)

# Thanks, Rich Bartell and Stephane Chazelas, for clarification.