Simple hexadecimal addition question

[neshepard]

Homework Statement

I have to hex numbers, x1100 and x3301, that I want to add. I tried to convert them to binary and and them, then convert back to hex-wrong. Tried a straight 1100+3301 addition with the answer being hex, and even used my ti-89 to add them, it can do conversions so why not.

Homework Equations

The Attempt at a Solution

For the conversion to binary and back I got x4401- told me it's wrong.
For the straight hex addition I got x4402-told me it's wrong.
For the ti-89 I got x1131-and of course it's wrong.

How do I add these and what is the answer?

 

[DoctorBinary]

You add them like you would in base 10, only using base 16 symbols and doing carries for sums >= 16. Your problem is very simple though, since hex symbols and carries >=16 don't occur:

1100
3301
-----
4401

Converting to binary works similarly, with base 2 symbols and carries for sums >=2:

  1000100000000
 11001100000001
 --------------
100010000000001

0b100010000000001 = 0x4401

 

[vk6kro]

The calculator in Windows does it OK. Switch it to Scientific mode.

The answer is 4401 which you can confirm by converting everything to decimal and adding in decimal
1100 hex is 4352 decimal
3301 hex is 13057 decimal
decimal total =17409 which is 4401 in hex.

 

[neshepard]

Thanks. I got that answer and webassign said it was wrong so I will find out from the professor what the deal is.

 

[mugaliens]

The calculator in Windows does it OK. Switch it to Scientific mode.

The answer is 4401 which you can confirm by converting everything to decimal and adding in decimal
1100 hex is 4352 decimal
3301 hex is 13057 decimal
decimal total =17409 which is 4401 in hex.

I added them in hex, got 4401 hex, and converting to decimal, 17409 decimal. Same as you. And 100010000000001 binary.

To the OP: If the webassign solution is telling you it's wrong, well, then, it certainly wouldn't be the first time an instructor got the answer wrong! However, before you accuse him of getting a wrong answer, please make sure you copied the original two numbers correctly!