Design a 3:8 Decoder using 5:32 Decoder

Thread starter Fatima Hasan
Start date Dec 23, 2018
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Decoder Design

In summary, a 3:8 decoder is a combinational circuit that takes in three inputs and produces eight outputs. It is commonly used in circuits to minimize the number of logic gates required and simplify the circuit design. A 3:8 decoder can be designed using a 5:32 decoder by connecting the appropriate outputs as inputs. The advantages of using a 3:8 decoder include simplifying circuit design and efficient use of resources. However, it can only handle three input signals and produce eight output signals, making it limited for circuits that require a larger number of inputs or outputs.

Dec 23, 2018

Fatima Hasan

Homework Statement

a) Design a 3:8 Decoder using 5:32 Decoder.
b) Design a 5:32 Decoder using 3:8 Decoder.

Homework Equations

The Attempt at a Solution

( X₃ and X₄ are grounded , because we need 3 inputs only )
Could someone check my answer please ?

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Dec 23, 2018

berkeman

Mentor

Are your a and b answers swapped?

1. How does a 3:8 decoder work?

A 3:8 decoder is a combinational circuit that takes in three inputs and produces eight outputs. The three inputs represent a binary number, and the outputs correspond to the eight possible combinations of the three inputs. The output that corresponds to the binary number input will be set to a logic high (1), while all other outputs will be set to a logic low (0).

2. What is the purpose of using a 3:8 decoder in a circuit?

A 3:8 decoder is commonly used in circuits that require multiple output signals based on a binary input. It is helpful in minimizing the number of logic gates required and simplifying the circuit design.

3. How do you design a 3:8 decoder using a 5:32 decoder?

To design a 3:8 decoder using a 5:32 decoder, you will need to use the five inputs of the 5:32 decoder as the three inputs for the 3:8 decoder. The remaining 27 outputs from the 5:32 decoder can be used as the eight outputs for the 3:8 decoder. By connecting the appropriate outputs from the 5:32 decoder to the inputs of the 3:8 decoder, you can create a circuit that behaves as a 3:8 decoder.

4. What are the advantages of using a 3:8 decoder?

One of the main advantages of using a 3:8 decoder is that it simplifies the circuit design by reducing the number of logic gates required. It also allows for a more efficient use of space and resources, making it a cost-effective option for circuits that require multiple output signals based on a binary input.

5. Are there any limitations to using a 3:8 decoder?

One limitation of using a 3:8 decoder is that it can only handle three input signals. If more inputs are required, a different decoder with a higher input-to-output ratio would need to be used. Additionally, the 3:8 decoder can only produce eight output signals, so it may not be suitable for circuits that require a larger number of output signals.