Question

In: Computer Science

Consider a system which has to accept prefix arithmetic expressions consisting of ‘+’(binary addition) , ‘-‘(binary...

Consider a system which has to accept prefix arithmetic expressions consisting of ‘+’(binary addition) , ‘-‘(binary subtraction), ‘*’(multiplication), ‘~’(unary subtraction), single digit numbers and compute their value.

Examples:

  1. +12 → 3
  2. ++12 → fail
  3. +*123 → 5
  4. *+123 → 9
  5. +123 → fail

What parts would be required for such a system?

How do these parts relate to the concepts studied?

Could you write a program to implement such a system?

(Layout of the structure and the logic of the system, what are the components of such a system? Justification the possibility(or lack there of) of implementing such a system.)

Solutions

Expert Solution

Unary Operators:

The Unary Operators need a single operand. For instance, operations like incrementing/decrementing a value by one, negating an expression, or inverting the value of a Boolean.

Following are the Unary Operators supported in Java:

Operator

Description

+

Unary plus Operator; indicates a positive value

-

Unary minus Operator; negates an expression

++

Increment Operator; increments a value by 1

--

Decrement Operator; decrements a value by 1

!

Logical complement Operator; inverts the value of a Boolean

Java sample Program for Unary operations:

=====================================================

public class UnaryOperator

{

public static void main(String[] args) {

    int result_value = +10; // indicates positive value 10

    System.out.println(result_value);

    result_value --; // decrements the value of 10 by 1

    System.out.println(result_value);

    result_value ++; // increments the value of 9 by 1

    System.out.println(result_value);

    result_value = - result_value;// this minus operator negates an expression

    System.out.println(result_value);

    booleanisPass = false;

    System.out.println(isPass);

    System.out.println(!isPass);//o/p is inverted isPass value i.e. true

    }

}

Output:

Prefix and Postfix:

The increment/decrement operators are used before (prefix) or after (postfix) the operand. Even though, both the values will return the original value being incremented/decremented by one. The only difference is the prefix operator evaluates the operand to the incremented value, whereas the postfix version evaluates the operand to the original value.

Sample java program for prefix and postfix:

=======================================================

public class PreAndPost

{

        public static void main(String[] args)

{

        int a = 5;

            System.out.println(a++); // output is 5  

            System.out.println(a); // output is 6       

            System.out.println(++a); // output is 7

            System.out.println(a++); // output is 7

            System.out.println(a); // output is 8

        }

}

Output:

Operator

Name

Type

!

Logical NOT

Unary

&

Address-of

Unary

( )

Cast Operator

Unary

*

Pointer dereference

Unary

+

Unary Plus

Unary

++

Increment

Unary

Unary negation

Unary

––

Decrement 1

Unary

~

complement

Unary

,

Comma

Binary

!=

Inequality

Binary

%

Modulus

Binary

%=

Modulus assignment

Binary

&

Bitwise AND

Binary

&&

Logical AND

Binary

&=

Bitwise AND assignment

Binary

*

Multiplication

Binary

*=

Multiplication assignment

Binary

+

Addition

Binary

+=

Addition assignment

Binary

Subtraction

Binary

–=

Subtraction assignment

Binary

–>

Member selection

Binary

–>*

Pointer-to-member selection

Binary

/

Division

Binary

/=

Division assignment

Binary

<

Less than

Binary

<<

Left shift

Binary

<<=

Left shift assignment

Binary

<=

Less than or equal to

Binary

=

Assignment

Binary

==

Equality

Binary

>

Greater than

Binary

>=

Greater than or equal to

Binary

>>

Right shift

Binary

>>=

Right shift assignment

Binary

^

Exclusive OR

Binary

^=

Exclusive OR assignment

Binary

|

Bitwise inclusive OR

Binary

|=

Bitwise inclusive OR assignment

Binary

||

Logical OR

Binary


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