Let , find
A) 1,296
B) 4
C) 5
D) 6
E) 0

Question

Let  , find 
A) 1,296 
B) 4 
C) 5 
D) 6 
E) 0

Quizplus · Accepted Answer

This question is testing our understanding of hexadecimal addition. To add in hexadecimal, we first write down the numbers as usual, but then add using the following table:

```
+---+---+---+---+---+---+---+---+
|   | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
+---+---+---+---+---+---+---+---+
| 0 | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
+---+---+---+---+---+---+---+---+
| 1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
+---+---+---+---+---+---+---+---+
| 2 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
+---+---+---+---+---+---+---+---+
| 3 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
+---+---+---+---+---+---+---+---+
| 4 | 4 | 5 | 6 | 7 | 8 | 9 | A |
+---+---+---+---+---+---+---+---+
| 5 | 5 | 6 | 7 | 8 | 9 | A | B |
+---+---+---+---+---+---+---+---+
| 6 | 6 | 7 | 8 | 9 | A | B | C |
+---+---+---+---+---+---+---+---+
| 7 | 7 | 8 | 9 | A | B | C | D |
+---+---+---+---+---+---+---+---+
| 8 | 8 | 9 | A | B | C | D | E |
+---+---+---+---+---+---+---+---+
| 9 | 9 | A | B | C | D | E | F |
+---+---+---+---+---+---+---+---+
| A | A | B | C | D | E | F |10 |
+---+---+---+---+---+---+---+---+
| B | B | C | D | E | F |10 |11 |
+---+---+---+---+---+---+---+---+
| C | C | D | E | F |10 |11 |12 |
+---+---+---+---+---+---+---+---+
| D | D | E | F |10 |11 |12 |13 |
+---+---+---+---+---+---+---+---+
| E | E | F |10 |11 |12 |13 |14 |
+---+---+---+---+---+---+---+---+
| F | F |10 |11 |12 |13 |14 |15 |
+---+---+---+---+---+---+---+---+
```

We start by adding the least significant digit, which is 8 in both numbers. 8+1=9 in decimal, which is 9 in hexadecimal. So the rightmost digit of our sum is 9.

Next, we add the middle digit, which is A in both numbers. A+A=14 in decimal, which is E in hexadecimal. So the middle digit of our sum is E.

Finally, we add the most significant digit, which is 1 in both numbers. 1+1=2 in decimal, which is 2 in hexadecimal. So the leftmost digit of our sum is 2.

Putting it all together, we get:

```
  11ead0bc_8e91_7e0a_99a0_4bca634a06fa_TB6988_11
+                                    _TB6988_11
-------------------------------------------------
  11ead0bc_8e91_7e0b_99a0_e144e261b819_TB6988_11
```

Thus, the answer is C) 5.

Let , Find