Question

Which circuit that controls the segments of a 7-segment display most represents a function in truth table form? mux, decoder, or minimal SOP?

Which (mux, decoder, or minimal SOP) most represent the circuit in sum of minterms form?

If required to quickly prototype a circuit for testing, which would you choose if the circuit were described using a truth table? (mux, decoder, or minimal SOP)

If creating a final design for mass production, which would you choose (mux, decoder, or minimal SOP) to implement a seven segment display and why?

Answer 1

A) Which circuit that controls the segments of a 7-segment display most represents a function in truth table form? mux, decoder, or minimal SOP?

The answer is Decoder. The truth table of 7-segment display is as follows

So here A,B,C,D are the inputs and a,b,...,g are the outputs

It decodes the inputs A,B,C,D to the respective outputs

Hence Decoder

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B) Which (mux, decoder, or minimal SOP) most represent the circuit in sum of minterms form?

When we do the k-map for all outputs a,b,...,g, the sum of minterms are

So answer is minimal Sum of Products i.e., SOP form

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C) If required to quickly prototype a circuit for testing, which would you choose if the circuit were described using a truth table? (mux, decoder, or minimal SOP)

Quick prototyping is done to check the functionality of the circuit by making use of already available circuits.

Since truth table is similar to that of decoder circuit, Decoders are used for prototyping.

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D)

If creating a final design for mass production, which would you choose (mux, decoder, or minimal SOP) to implement a seven segment display and why?

For creating an IC for mass production, there are certain constraints that need to be met

Area, Power, Timing

Minimal SOP requires so many logic gates for its implementation. As a result, area is more and different delays will be present. Hence not preferred.

So optimized decoder is used for mass production since 7 segment display acts as a decoder