A Football Association coach analyzes the criteria for a win/draw of his team depending on the following conditions: If the Centre and Forward players perform well but Defenders do not perform well.
or
If Goalkeeper and Defenders perform well but the Centre players do not perform well.
or
If all the players perform well.
The inuts are :
Inputs |
|
C |
Centre players perform well. |
D |
Defenders perform well. |
F |
Forward players perform well. |
G |
Goalkeeper performs well. |
(In all of the above cases 1 indicates yes and 0 indicates no)
Output: X – Denotes the win/draw criteria [1 indicates win/draw and 0 indicates defeat in all cases.]
Reduce X(C, D, F, G) using Karnaugh’s Map.
Draw the logic gate diagram for the reduced POS expression for X (C, D, F, G ) using AND and OR gate.
You may use gates with two or more inputs. Assume that the variable and their complements are available as inputs.