Perform the operation, if possible.
-Let A = an ad B = . . Find A + B.

Question

Perform the operation, if possible.
-Let A =  an ad B =  . . Find A + B.

Quizplus · Accepted Answer

To add two numbers in base 16, we add each column separately, regrouping when necessary. The addition proceeds as follows: 
```
   1  1  e  b  b  1  7  b_2  9  f  b  _4  9  a  0_2  a  f  d  c_2  7  d  3  1  e  f  2  a  9 8  f  f_TB 8 5 9 1 _1 1
+ 1  1  e  b  b  1  7  b_2  9  f  b  _4  9  a  1_2  a  f  d  c_ _d  9  5  c  d  c  f  b  c  2  f  e_TB 8 5 9 1 _1 1
---------------------------------------------------------------------------------------
  2  3  D  7  6  3  F  7_5  3  E  7  _9  3  4  B_5  5  E  B  9  1  8  8  6  F  5  4  1  6  5  4  F_TB 1 0 C 2 _2  2
```
Therefore, A + B = 23d763f75e b91886f54165 4f_TB8591_11, which corresponds to answer choice C. Start with the rightmost digit and add the corresponding digits of A and B. If the sum exceeds the base 29, then carry over the difference to the next column to the left.
```
F + 1 = 10 (carry over 1)
F + 1 = 10 (carry over 1)
8 + a = 22 (carry over 1)
9 + d = 18 (carry over 1)
b + c = 19 (carry over 0)
7 + f = 16 (carry over 0)
1 + b = 12 (carry over 0)
1 + 2 = 3
```
Thus, A + B = 11ebb17b_29fb_49a4_afdc_61d9e3553f3f_TB8591_11.

Perform the Operation, If Possible