You are required to completely implement the Java program given to convert a decimal number

into binary and binary number into decimal.

An Incomplete program is given below;

class Stack

$\{$

int size $=5$;

int$[]$ arr $=$ new int$[$size$]$;

int top $=-1$;

public void push$($int element$)$

$\{$

if $($top $<$ size $-1)$

$\{$

top$++$;

arr$[$top$]=$ element;

System.out.println $("$Element Added $"+$ element$)$;

$\}$

else

System.out.println $("$Stack is Full"$)$;

$\}$

public int pop$()$

$\{$

int element$=0$;

if $($top $>=0)$

$\{$

element $=$ arr$[$top$]$;

top$--$;

$\}$

else

$\{$

System.out.println $("$Stack is empty"$)$;

$\}$

return element;

$\}$

public static void main $($String args$[])$

$\{$

$//$You are required to write your code here

$\}$

$\}$

Converting Binary to Decimal and vice versa

Part I

Converting Decimal Number to Binary.

Algorithm

Step $1$: Take a number in decimal

Step $2$: while the number is greater than $0$:

Step $2\mathrm{.}1$: Push the remainder after dividing the number by $2$ into stack.

Step $2\mathrm{.}2$: set the number as number $/2.$

Step $3$: Pop elements from stack and print the binary number

Part II

Converting Binary to Decimal

Algorithm

Step $1$: Start with a binary string and a decimal value set to $0.$

Step $2$: Starting with the first character of the string, push each digit into the stack.

Step $3$: Pop digit out of the stack, multiplying it by $2^$n$,$ n$=[0,$string size $-1].$

Step $4$: Repeat step $3$ until stack is empty. $...$

Step $5$: Print out the answer.

You are required to completely implement the Java program given to convert a decimal number

into binary and binary number into decimal.

Develop an interactive main that gives users two options.

$1.$ Enter $1$ to convert from decimal to binary

$2.$ Enter $2$ to convert from binary to decimal.

$(8$ marks$)$

Implement two methods.

boolean isempty$()$

$(1$ marks$)$

boolean isFull$()$

$(1$ marks$)$

please provide a full code based on the information given above in java