Operators & Mathematical Expression

8/18/2019 Operators & Mathematical Expression

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Operators and

MathematicalExpressions


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Mathematical Expressions

An expression can be a constant, avariable, or a combination of constantsand variables combined with operators.

Can create complex expressions usingmultiple mathematical operators.

Example mathematical expressions

2heighta + b / c


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Using Mathematical Expressions

Can be used in assignment statements,with cout, and in other types of

statements Examples:

area = 2 * PI * radius;

cout


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Assignment tatement

Uses the e!ual sign = operator "as a single variable on the left side and

a value on the right side Copies the value on the right into thevariable on the leftx = 5; = !; = #;

x = x + ; = + #;

= 5 + x + ;


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#perators

$hese are the symbols that tells thecompiler to perform a speci%c

mathematical or logical manipulation.Types of Operators:

&. Arithmetic

'. (elational). *ogical


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Arithmetic #perators

SYMBOL OPERATION EXAMPLE a$s

+ addition a$s = % + &; '

subtraction a$s = % &; #

* multiplication a$s = % * &; 2'

/ division

a$s = % / &; 2

modulus a$s = % &; '


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+recedence of #perators


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Associativity of #perators

unary negation- associates right to left * / + all associate left to right parentheses ( ) can be used to override the

order of operations

2 + 2 * 2 2 = #

(2 + 2) * 2 2 = !

2 + 2 * (2 2) = 2

(2 + 2) * (2 2) =


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7ivision 4- #perator

C00 division operator /- performs integerdivision if both operands are integers

cout


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Modulus - #perator

C00 modulus operator %- computes theremainder resulting from integer division

cout


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Algebraic Expressions

Multiplication re!uires an operator

Area = lw is written as ,rea = l * w;

$here is no exponentiation operator Area = s2 is written as ,rea = -ow(s.2);

+arentheses may be needed to maintainorder of operations

is written as

= (2')/(x2x');12

12

x x

y ym

−

−

=


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Mathematical 'l(e)raic

Expression

Mathematical 'l(e)raic

Expression in *++

a)c a , ) , c

a + )c a + ) , c

y3 po- .y 30 or y , y , y

a

) + c

a / .)+c0

a.a+)0 a , .a + )0


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ome +rede%ned ;unctions inC00

+rede%ned functions 6 are functions thatare built into C00 to perform somestandard operations.

$hese functions were prede%ned for you,meaning that you didn


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ome +rede%ned ;unctions inC00

$he header %le re!uired formathematical functions is 0i$clude


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(elational #perators

Used to compare numbers todetermine relative order

(elational #perators:1 Greater than

< Less than

1= Greater than or equal to


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(elational Expressions

(elational expressions are >ooleani.e., evaluate to true or 3alse)

Examples:'2 1 5 is true%


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(elational Expressions

Assigns for 3alse, ' for true

7o not confuse = and ==


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*ogical #perators

Used to create relational expressionsfrom other relational expressions.ometimes referred to as >oolean

operators.

AND New relational expression is true if bothexpressions are true

66 OR New relational expression is true if eitherexpression is true

NOTReverses the value of an expression;true expression becomes false, andfalse becomes true

7o(ical Operators:


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$ruth $able for the 99 logical A?7-operator

alue ofExpression1

alue ofExpression

alue ofExpression1 99

Expression

$rue $rue $rue

$rue ;alse ;alse;alse $rue ;alse

;alse ;alse ;alse


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$ruth $able for the logical #(-#perator

alue ofExpression

1

alue ofExpression

alue ofExpression

1 Expression

$rue $rue $rue

$rue ;alse $rue

;alse $rue $rue

;alse ;alse ;alse


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*ogical #perator Examples

i$t x = '2. = 5. = #;

(x 1 ) ( 1 ) true

(x 1 ) ( 1 ) 3alse

(x


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*ogical +recedence

8i(hest

7o-est 66

Example: (2 < &) 66 (5 1 !) (% 1 4)

is true because A?7 is done before #(


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More on +recedence

Example:

= @ ' 0 BB / 5 is true

Hi!"st Arithmetic Operators

Relational Operators

Lo#"st Loical Operators


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nowledge ChecD

Evaluate the following logical expressions:

a&/, b'3, c6/ d&3

&. b d FF cG6/ BB c &33'. a &/ FF &'3 @ 3

). G )3 G b- BB c6/ FF 50/ d


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That in 'll

Thin(s, od May eloriedG


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$hanD youG

+repared by: +rof. *(I ?atividad

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