Problem_#03] If the output is a "1" for the decoders shown below, Find the input given that A3 is the MSB. Ao A1 Ao A1 A2 A3 A2 A3 (b) (a)

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**Problem #03**: If the output is a “1” for the decoders shown below, find the input given that A<sub>3</sub> is the MSB (Most Significant Bit).

### Diagram Explanation:

The problem presents four logic circuit diagrams labeled (a) to (d). Each diagram involves logic gates and digital inputs A<sub>0</sub>, A<sub>1</sub>, A<sub>2</sub>, and A<sub>3</sub>, which are inputs to the decoders.

#### Diagram (a):
- An inverter (NOT gate) is connected to input A<sub>0</sub>.
- The outputs from the inverter and lines for inputs A<sub>1</sub>, A<sub>2</sub>, and A<sub>3</sub> feed into an AND gate.

#### Diagram (b):
- Inverters (NOT gates) are connected to inputs A<sub>0</sub> and A<sub>1</sub>.
- Outputs from these inverters, along with lines for inputs A<sub>2</sub> and A<sub>3</sub>, feed into an AND gate.

#### Diagram (c):
- All inputs (A<sub>0</sub>, A<sub>1</sub>, A<sub>2</sub>, A<sub>3</sub>) connect directly to an AND gate without inversion.

#### Diagram (d):
- Inverters (NOT gates) are connected to inputs A<sub>0</sub>, A<sub>1</sub>, and A<sub>2</sub>.
- Inputs from these inverters and the direct line for A<sub>3</sub> feed into an AND gate.

To solve the problem, determine the specific input combinations for each logic circuit that results in an output of "1," with the condition that A<sub>3</sub> is the most significant bit.
Transcribed Image Text:**Problem #03**: If the output is a “1” for the decoders shown below, find the input given that A<sub>3</sub> is the MSB (Most Significant Bit). ### Diagram Explanation: The problem presents four logic circuit diagrams labeled (a) to (d). Each diagram involves logic gates and digital inputs A<sub>0</sub>, A<sub>1</sub>, A<sub>2</sub>, and A<sub>3</sub>, which are inputs to the decoders. #### Diagram (a): - An inverter (NOT gate) is connected to input A<sub>0</sub>. - The outputs from the inverter and lines for inputs A<sub>1</sub>, A<sub>2</sub>, and A<sub>3</sub> feed into an AND gate. #### Diagram (b): - Inverters (NOT gates) are connected to inputs A<sub>0</sub> and A<sub>1</sub>. - Outputs from these inverters, along with lines for inputs A<sub>2</sub> and A<sub>3</sub>, feed into an AND gate. #### Diagram (c): - All inputs (A<sub>0</sub>, A<sub>1</sub>, A<sub>2</sub>, A<sub>3</sub>) connect directly to an AND gate without inversion. #### Diagram (d): - Inverters (NOT gates) are connected to inputs A<sub>0</sub>, A<sub>1</sub>, and A<sub>2</sub>. - Inputs from these inverters and the direct line for A<sub>3</sub> feed into an AND gate. To solve the problem, determine the specific input combinations for each logic circuit that results in an output of "1," with the condition that A<sub>3</sub> is the most significant bit.
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