Computer Science

In the following truth table x and y are inputs and B and D are outputs:

InputOutput
xyBD
0000
0111
1001
1100

Answer the following questions:

(i) Write the SOP expression for D.
(ii) Write the POS expression for B

Boolean Algebra

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Answer

(i) Write the SOP expression for D.

xyDMin
Terms
000
011x'y
101xy'
110

SOP expression = x'y + xy'

(ii) Write the POS expression for B

xyBMax
Terms
000x+y
011
100x'+y
110x'+y'

POS expression = (x+y).(x'+y).(x'+y')

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