In a script, operations execute in order of precedence: the higher precedence operations execute before the lower precedence ones. [1]
Table 8-1. Operator Precedence
| Operator | Meaning | Comments | 
|---|---|---|
| HIGHEST PRECEDENCE | ||
| var++ var-- | post-increment, post-decrement | C-style operators | 
| ++var --var | pre-increment, pre-decrement | |
| ! ~ | negation | logical / bitwise, inverts sense of following operator | 
| ** | exponentiation | arithmetic operation | 
| * / % | multiplication, division, modulo | arithmetic operation | 
| + - | addition, subtraction | arithmetic operation | 
| << >> | left, right shift | bitwise | 
| -z -n | unary comparison | string is/is-not null | 
| -e -f -t -x, etc. | unary comparison | file-test | 
| < -lt > -gt <= -le >= -ge | compound comparison | string and integer | 
| -nt -ot -ef | compound comparison | file-test | 
| == -eq != -ne | equality / inequality | test operators, string and integer | 
| & | AND | bitwise | 
| ^ | XOR | exclusive OR, bitwise | 
| | | OR | bitwise | 
| && -a | AND | logical, compound comparison | 
| || -o | OR | logical, compound comparison | 
| ?: | trinary operator | C-style | 
| = | assignment | (do not confuse with equality test) | 
| *= /= %= += -= <<= >>= &= | combination assignment | times-equal, divide-equal, mod-equal, etc. | 
| , | comma | links a sequence of operations | 
| LOWEST PRECEDENCE | 
In practice, all you really need to remember is the following:
The "My Dear Aunt Sally" mantra (multiply, divide, add, subtract) for the familiar arithmetic operations.
The compound logical operators, &&, ||, -a, and -o have low precedence.
The order of evaluation of equal-precedence operators is usually left-to-right.
Now, let's utilize our knowledge of operator precedence to analyze a couple of lines from the /etc/init.d/functions file, as found in the Fedora Core Linux distro.
| while [ -n "$remaining" -a "$retry" -gt 0 ]; do
# This looks rather daunting at first glance.
# Separate the conditions:
while [ -n "$remaining" -a "$retry" -gt 0 ]; do
#       --condition 1-- ^^ --condition 2-
#  If variable "$remaining" is not zero length
#+      AND (-a)
#+ variable "$retry" is greater-than zero
#+ then
#+ the [ expresion-within-condition-brackets ] returns success (0)
#+ and the while-loop executes an iteration.
#  ==============================================================
#  Evaluate "condition 1" and "condition 2" ***before***
#+ ANDing them. Why? Because the AND (-a) has a lower precedence
#+ than the -n and -gt operators,
#+ and therefore gets evaluated *last*.
#################################################################
if [ -f /etc/sysconfig/i18n -a -z "${NOLOCALE:-}" ] ; then
# Again, separate the conditions:
if [ -f /etc/sysconfig/i18n -a -z "${NOLOCALE:-}" ] ; then
#    --condition 1--------- ^^ --condition 2-----
#  If file "/etc/sysconfig/i18n" exists
#+      AND (-a)
#+ variable $NOLOCALE is zero length
#+ then
#+ the [ test-expresion-within-condition-brackets ] returns success (0)
#+ and the commands following execute.
#
#  As before, the AND (-a) gets evaluated *last*
#+ because it has the lowest precedence of the operators within
#+ the test brackets.
#  ==============================================================
#  Note:
#  ${NOLOCALE:-} is a parameter expansion that seems redundant.
#  But, if $NOLOCALE has not been declared, it gets set to *null*,
#+ in effect declaring it.
#  This makes a difference in some contexts. | 
|  | To avoid confusion or error in a complex sequence of test operators, break up the sequence into bracketed sections. 
 | 
| [1] | Precedence, in this context, has approximately the same meaning as priority |