Decoder

Question

Which of following statement is true ?

S1. Any boolean function can be realized using decoder

s2. One multiplexer can realize 1 function at a time

a) S1 is true

b) S2 is true

3) Both are true

d) none of them

Answer 1

Both are true 

One multiplexer is used for one function as it has only one output line 

and decoder can be used to implement any function as if we have n input line it give 2ⁿ output line , one for each minterm. 

Comments

Oh! so you mean we can implement every function with Multiplexer but one at a time since it has only 1 output Line

Whereas we can implement multiple function at a same time in decoder because of maximum 2 ^ lines possible . So we could just used all the necessary Minterms and OR them

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Yea, Many function can be implented by using decoder.

example :- half adder can be implemented by (2:4) decoder , where among 4 Output  one output will be selected for sum and one for carry .

Answer 2

I marked answer "a" because a multplexer can realize only 1 function at a time 

whereas decoder can implement all Boolean Function since all the minterms are only output AM i right ?

They say both of them are true ! 

Comments

both are true

 

any function can be written in terms of minterms

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any function can be realissed by mux but due to one output ;ine at one time it can realise only fuction

but in decoder case all the function can be expressed in minterms form and we need one or gate to combine them

so both r right m i true sir?

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Yes :)