The logical expressions are
- (X NOR Y ) OR Z ⇒ [tex](\bar X \bar + \bar Y) + Z[/tex]
- (A NAND B) AND NOT C ⇒ [tex](\bar A \bar \cdot\bar B) \cdot \bar C[/tex]
How to determine the logical expressions?
Logical expression 1
X and Y are linked by the NOR gate.
So, we have:
X NOR Y
The X NOR Y is linked to Z by the OR gate.
So, we have:
(X NOR Y) OR Z
Hence, the logical expression is (X NOR Y ) OR Z ⇒ [tex](\bar X \bar + \bar Y) + Z[/tex]
Logical expression 2
A and B are linked by the NAND gate.
So, we have:
A NAND B
The A NAND B is linked to C by the AND gate.
So, we have:
(A NAND B) AND C
Hence, the logical expression is (A NAND B) AND NOT C ⇒ [tex](\bar A \bar \cdot\bar B) \cdot \bar C[/tex]
See attachment for the truth tables
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