To solve the logic circuit problem:

Step 1: Analyze the circuit

The circuit consists of:

• Inputs: A = 0, B = 1, C = 1.
• Logic gates: A NOT gate, an OR gate, and an AND gate.
• Outputs: X (output of OR gate) and Y (output of AND gate).

Step 2: Solve for intermediate and output values

1. NOT Gate Output (inverts A):

   • Input: $A = 0$
   • Output: $\text{NOT A} = 1$

2. OR Gate Input and Output:

   • Inputs: $\text{NOT A} = 1$, $B = 1$
   • Output: $X = \text{NOT A} \lor B = 1 \lor 1 = 1$

3. AND Gate Input and Output:

   • Inputs: $C = 1$, $B = 1$
   • Output: $Y = C \land B = 1 \land 1 = 1$

Step 3: Combine outputs into binary number

The outputs $X$ and $Y$ represent the binary number $XY = 11$ (where $X$ is the first bit and $Y$ is the second bit).

Step 4: Convert binary to decimal

Binary $11$ equals decimal $3$.

Final Answer:

The decimal equivalent of the binary number $XY$ is: 3

Would you like me to explain the circuit's functionality further or clarify the logic gate operations?

Here are 5 related questions to explore:

1. How does each type of logic gate (AND, OR, NOT) function?
2. What is the truth table for the given logic circuit?
3. How do binary numbers convert into decimal form?
4. How would the output change if input $A$ were $1$?
5. Can this circuit be simplified further?

Tip: Always create a truth table for such problems to systematically analyze all possible outputs.