Create a new file called bitmath.cpp$.$ In this file, write a program that asks the user for an operation, collects its arguments $($which are unsigned ints$),$ then computes the result and prints all the numbers in binary, hexadecimal, and decimal.

$[$wendy@neverland lab$3]$$ $./$bitmath

Operation:

add

First operand:

$32$

Second operand:

$57$

$0$b$000000000000000000000000001000000$x$0000002032$

$0$b$000000000000000000000000001110010$x$0000003957$

$0$b$000000000000000000000000010110010$x$0000005989$

You'll need to support four operations:

see This operation takes one operand, and simply prints it $($example below$).$

add This operation takes two operands, prints both operands, then prints the result of adding the two operands together.

sub This operation behaves the same as add, but performs subtraction.

mul This operation behaves the same as add, but performs multiplication.

Sounds easy? There's a catch: You may not use any of the standard arithmetic operators. The characters $+,-,*,/,$ and $\%$ may not appear anywhere in your program, and you can only use functions from the iostream, iomanip, and string headers. Implement your own arithmetic functions using the bitwise operators: ~$,$ &$,|,^,<<,$ and $>>($comparison operators are allowed as well$).$ All of the inputs are unsigned ints $(32-$bit unsigned integers$),$ and the output should be exactly the same as if you had used the $+,-,$ and $*$ operators on these unsigned ints.

When printing, print leading zeros on your binary and hexadecimal numbers $($these should always have $32$ and $8$ digits, respectively$).$ Print two spaces between each representation of a number. The decimal representation should be left$-$aligned.

$[$wendy@neverland lab$3]$$ $./$bitmath

Operation:

see

First operand:

$283476581$

$0$b$000100001110010110000010011001010$x$10$e$58265283476581$