Question: 3. The NOR function, denoted by a b ~ (a b); i.e., the NOR is true precisely when the (inclusive) OR is

3. The NOR function, denoted by a ↓ b ≡ ~ (a ˅ b); i.e., the NOR is true precisely when the (inclusive) OR is false.

a. Give the truth table for the two-input NOR function.

b. Show that the NOR operator can be used to simulate each of the AND, OR, and NOT operators.

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