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Show how to implement x ⊕ y in four instructions with and-or-not logic.
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Show how to implement x ⊕ y
in four instructions with and-or-not logic.
Analyze the show how to implement x ⊕ y in four instructions with and-or-not logic..
Examples
Example 1
Input:
"test_input_1"
Output:
"output_1"
Example 2
Input:
"test_input_2"
Output:
"output_2"
Hints
Hint 1
Recall that XOR (⊕) outputs true only when inputs differ. How can you combine AND, OR, and NOT to achieve this behavior?
Hint 2
Consider that (x AND NOT y) OR (NOT x AND y) implements ⊕. How can you express this using only AND, OR, and NOT gates?
Hint 3
Notice that x ⊕ y = (x OR y) AND NOT (x AND y). How can you derive this expression step-by-step using the given logic gates?
Show how to implement x ⊕ y in four instructions with and-or-not logic.
Analyze the show how to implement x ⊕ y in four instructions with and-or-not logic..