Combinational Logic-Decoders(basic)

[PolyFX]

Homework Statement

I have a basic question regarding the truth table for decoders and encoders.

Let's say for a 3 to 8 line decoder with inputs x y z and outputs F0...F7

The truth table is

x y z | F0 F1 F2 F3 F4 F5 F6 F7
0 0 0 1 0 0 0 0 0 0 0
0 0 1 0 1 0 0 0 0 0 0
0 1 0 0 0 1 0 0 0 0 0
0 1 1 0 0 0 1 0 0 0 0
1 0 0 0 0 0 0 1 0 0 0
1 0 1 0 0 0 0 0 1 0 0
1 1 0 0 0 0 0 0 0 1 0
1 1 1 0 0 0 0 0 0 0 1Now consider the truth table for a 2 to 4 encoder with Enabler.

E A B | F0 F1 F2 F3
0 0 0 1 0 0 0
0 0 1 0 1 0 0
0 1 0 0 0 1 0
0 1 1 0 0 0 1My question is how are these inputs acquired. For example what makes input of E=0 A=1 and B=1 go to output F3 and not F2?

Homework Equations

No equations needed that I can think of.

The Attempt at a Solution

Well I assume this is a very basic question(no calculations involved) so I am not sure how to "attempt" a solution to this.

-Thank you

 

[LightHero]

for your time The question you are asking is how the encoder works. It is an electronic circuit that takes two or more inputs and produces a single output. The output is determined by the combination of the inputs. In the case of the 2-4 encoder, it takes two inputs (A and B) and produces four outputs (F0, F1, F2, and F3). The combination of A and B determines which output is active. For example, if A=1 and B=1, then the output F3 is active.