Question

Assignment 2: Boolean Simplification and K-Map A B C X Y 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 0 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 1 1 0 0 Figure 1 1. The truth table in figure 1 has 3 inputs; A, B and C and 2 outputs; X and Y. a. Derive the POS expression for each output X and Y. b. Derive the SOP expression for each output X and Y. c. Simplify the expressions in (b) to their simplest SOP form using the Boolean Algebra. d. Draw the K-Maps for each output X and Y and extract the simplest SOP expressions for each output. Compare the answer to (c). e. Draw the circuits for each simplified expression.

          Assignment 2: Boolean Simplification and K-Map
A
B
C
X
Y
0
0
0
0
1
0
0
1
0
1
0
1
0
1
1
0
1
1
1
0
1
0
0
0
0
1
0
1
1
0
1
1
0
1
1
1
1
0
0
Figure 1
1. The truth table in figure 1 has 3 inputs; A, B and C and 2 outputs; X and Y.
a. Derive the POS expression for each output X and Y.
b. Derive the SOP expression for each output X and Y.
c. Simplify the expressions in (b) to their simplest SOP form using the Boolean
Algebra.
d. Draw the K-Maps for each output X and Y and extract the simplest SOP
expressions for each output. Compare the answer to (c).
e. Draw the circuits for each simplified expression.

Assignment 2: Boolean Simplification and K-Map
A
B
C
X
Y
0
0
0
0
1
0
0
1
0
1
0
1
0
1
1
0
1
1
1
0
1
0
0
0
0
1
0
1
1
0
1
1
0
1
1
1
1
0
0
Figure 1
1. The truth table in figure 1 has 3 inputs; A, B and C and 2 outputs; X and Y.
a. Derive the POS expression for each output X and Y.
b. Derive the SOP expression for each output X and Y.
c. Simplify the expressions in (b) to their simplest SOP form using the Boolean
Algebra.
d. Draw the K-Maps for each output X and Y and extract the simplest SOP
expressions for each output. Compare the answer to (c).
e. Draw the circuits for each simplified expression.

Added by Jessica P.

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