Question

given that the input a is false and the input c is true, how would the value of input b affect the final output?
answer
the output will be true no matter what the value of input b is.
the output will be false no matter what the value of input b is.
if b is true then output will be true. if b is false then output will be false.
if b is true then output will be false. if b is false then output will be true.

Explanation:

Step1: Evaluate NOT A

$\text{NOT false} = \text{true}$

Step2: Evaluate first OR gate

$\text{true OR } B = \text{true}$ (since OR with true is always true, regardless of B)

Step3: Evaluate NOT of first OR result

$\text{NOT true} = \text{false}$

Step4: Evaluate NOT C

$\text{NOT true} = \text{false}$

Step5: Evaluate second OR gate

$\text{false OR false} = \text{false}$

Step6: Evaluate final NOT gate

$\text{NOT false} = \text{true}$

Answer:

The output will be true no matter what the value of input B is.