Consider a 10x4 Decimal to Binary Encoder. i. Draw a block diagram to show inputs and outputs. ii. Draw a truth table to depict the input and corresponding output values. iii. Draw... Consider a 10x4 Decimal to Binary Encoder. i. Draw a block diagram to show inputs and outputs. ii. Draw a truth table to depict the input and corresponding output values. iii. Draw a circuit diagram for the Encoder.

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Understand the Problem

The question is asking to create a block diagram, a truth table, and a circuit diagram for a 10x4 Decimal to Binary Encoder, which involves displaying the input-output relationship and the basic design of the encoder.

Answer

Draw a block diagram for 10 inputs and 4 outputs. Create a truth table mapping 0-9 to binary. Design the circuit using logic gates.

For a 10x4 encoder:

  1. Block Diagram: Draw a box with 10 inputs labeled 0-9 on one side and 4 outputs labeled as B0, B1, B2, and B3 on the other side.

  2. Truth Table:

    • Input 0: Outputs 0000
    • Input 1: Outputs 0001
    • Input 2: Outputs 0010
    • Input 3: Outputs 0011
    • Input 4: Outputs 0100
    • Input 5: Outputs 0101
    • Input 6: Outputs 0110
    • Input 7: Outputs 0111
    • Input 8: Outputs 1000
    • Input 9: Outputs 1001
  3. Circuit Diagram: Use OR, AND, and NOT gates to control the flow of signals from each decimal input to the corresponding binary output.

Answer for screen readers

For a 10x4 encoder:

  1. Block Diagram: Draw a box with 10 inputs labeled 0-9 on one side and 4 outputs labeled as B0, B1, B2, and B3 on the other side.

  2. Truth Table:

    • Input 0: Outputs 0000
    • Input 1: Outputs 0001
    • Input 2: Outputs 0010
    • Input 3: Outputs 0011
    • Input 4: Outputs 0100
    • Input 5: Outputs 0101
    • Input 6: Outputs 0110
    • Input 7: Outputs 0111
    • Input 8: Outputs 1000
    • Input 9: Outputs 1001
  3. Circuit Diagram: Use OR, AND, and NOT gates to control the flow of signals from each decimal input to the corresponding binary output.

More Information

Encoders are essential components in digital electronics, converting decimal inputs to binary representations efficiently.

Tips

Ensure each input decimally maps exactly to its binary output without overlap. Verify circuit connections carefully.

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