Please show all work and the code, output

will upvote if correct

C$++$

Hamming Transmitter

Assignment: The last assignment was to create a Hamming Receiver which could receive a binary input, calculate if and where an incorrect bit was to be found, and then return the corrected for of that. This assignment will involve the other half of the Hamming Code, with the creation of a Transmitter that can be checked using the Receiver from last week. Given a decimal number, your code must convert the decimal number into binary, and insert the three necessary check bits that validate it as being correctly assembled and received.

FOR YOUR ASSIGNMENT: Please display the following results:

$-1$ The Original Decimal Number

$-2$ The Correct Form of the resulting Hamming Code

Keep in mind that you$$ve already built a Hamming Receiver, and you may feed your results from the Hamming Transmitter into the Receiver to make sure it$$s working correctly. Please use the following numbers:

$1$: $15$

$2$: $7$

$3$: $12$

$4$: $2$

$5$: $6$

Please don$$t forget that your original Hamming Receiver should cut the work on this assignment in half, and you$$ll also be able to use it to test that your Hamming Transmitter is correctly encoding the check bits.