Bitwise OR: 1011 0110 | 0000 1111 — OR gate
coresetting the low nibble
Answer
10111111
Why this example is worth doing
Bitwise OR with a mask sets bits rather than clearing them, which is the complementary operation to the AND mask on the previous page — AND with a 0 clears, OR with a 1 sets, and XOR with a 1 toggles. The page presents all three as one table because they are almost always taught separately and then confused. Setting the low nibble here turns B6 into BF, which the linked base converter shows in hex.
Try your own input in the OR gate. Truth table, symbol and algebraic form for A + B, with a live two-input toggle.
How the answer is reached
Column by column
A10110110
B00001111
result10111111
| bit | A | B | result |
|---|---|---|---|
| 7 | 1 | 0 | 1 |
| 6 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 |
| 4 | 1 | 0 | 1 |
| 3 | 0 | 1 | 1 |
| 2 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 |
| 0 | 0 | 1 | 1 |