Skip to main content
Contents Calc Dark Mode Prev Next Profile \(\newcommand\DLGray{\color{Gray}}
\newcommand\DLO{\color{BurntOrange}}
\newcommand\DLRa{\color{WildStrawberry}}
\newcommand\DLGa{\color{Green}}
\newcommand\DLGb{\color{PineGreen}}
\newcommand\DLBa{\color{RoyalBlue}}
\newcommand\DLBb{\color{Cerulean}}
\newcommand\ds{\displaystyle}
\newcommand\ddx{\frac{d}{dx}}
\newcommand\os{\overset}
\newcommand\us{\underset}
\newcommand\ob{\overbrace}
\newcommand\obt{\overbracket}
\newcommand\ub{\underbrace}
\newcommand\ubt{\underbracket}
\newcommand\ul{\underline}
\newcommand\tikznode[3][]
{\tikz[remember picture,baseline=(#2.base)]
\node[minimum size=0pt,inner sep=0pt,#1](#2){#3};
}
\newcommand\del{\nabla}
\newcommand\R{\mathbb{R}}
\newcommand\C{\mathcal{C}}
\newcommand\N{\mathcal{N}}
\newcommand\eps{\varepsilon}
\renewcommand\epsilon{\varepsilon}
\renewcommand\subset{\subseteq}
\newcommand\norm[1]{\|{#1}\|}
\newcommand\matrixbrackets[4][1]{
\draw (#3,#2) -- (\fpeval{#3+0.2},#2);
\draw (#3,#1) -- (#3 ,#2);
\draw (#3,#1) -- (\fpeval{#3+0.2},#1);
\draw (#4,#2) -- (\fpeval{#4-0.2},#2);
\draw (#4,#1) -- (#4 ,#2);
\draw (#4,#1) -- (\fpeval{#4-0.2},#1);
}
\tikzstyle{circle node 0}=[fill=white, draw=black, shape=circle, inner sep=0pt]
\tikzstyle{circle node 2}=[fill=white, draw=black, shape=circle, inner sep=2pt]
\tikzstyle{hrect node}=[fill=white, draw=black, inner sep=2pt, outer sep=3pt]
\tikzstyle{vrect node}=[fill=white, draw=black, inner sep=0pt, outer sep=0pt]
\tikzstyle{hidden node 0}=[inner sep=0pt, outer sep=0pt]
\tikzstyle{hidden node 2}=[fill=white, inner sep=2pt, outer sep=2pt]
\tikzstyle{rect node 1}=[fill=white, inner sep=2pt, outer sep=0pt]
\tikzstyle{rect node 2}=[fill=white, draw=black, inner sep=2pt, outer sep=0pt]
\newcommand{\lt}{<}
\newcommand{\gt}{>}
\newcommand{\amp}{&}
\definecolor{fillinmathshade}{gray}{0.9}
\newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}}
\)
Subsection Joining Many Statements
You can combine more than two logical statements, and you can mix
~,
&, and
| in the same expression. When you do, MATLAB evaluates operators in a fixed order. Parentheses override everything, so you can always force the grouping you intend.
In general, the logical operator precedence chain is as follows:
1st
2nd
3rd
4th
()❯
~❯
&❯
|
Table 25. Sample Logical Operator Precedence Interpretations
MATLAB Command
Interpretation
~A & B➜
(~A) & B
~A | B➜
(~A) | B
A & B | C➜
(A & B) | C
A | B & C➜
A | (B & C)
When in doubt, use parentheses. They make your code clearer to readers and reduce errors caused by misinterpreting precedence.
Checkpoint 26 . Operator Precedence.
According to MATLAB’s operator precedence rules, which expression illustrates how
A | ~B & C | D is evaluated?
A | ((~B) & C) | D
Correct! The NOT operator ~ is evaluated first, followed by the AND operator &, and finally the OR operators | are evaluated from left to right.
(A | (~B)) & (C | D)
Incorrect. The AND operator & has higher precedence than the OR operator |, so this grouping is not correct.
((A | ~B) & C) | D
Incorrect. The AND operator & is evaluated before the OR operator |, but the NOT operator ~ is evaluated first.
A | ~(B & C) | D
Incorrect. The AND operator & is evaluated before the OR operator |, but the NOT operator ~ is evaluated first.
