(i)
(i) A Football Association coach analyses 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 perform well.
The inputs are:
INPUTS
C Centre players perform well
D Defenders perform well
F Forward players perform well
G Goalkeeper perform well
(In all 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]
Draw the truth table for the inputs and outputs given above and write the
SOP expression for X(C, D, F, G)
(ii) Reduce the above expression X (C, D, F, G) by using 4-variable Karnaugh map,
showing the various groups (i.e. octal, quads and pairs).
Draw the logic gate diagram for the reduced expression. Assume that the variables
and their complements are available as inputs.
