Question

K map for the output Z2, X3 X4 X1 X2 00 01 11 10 00 0 1 1 0 01 1 1 0 0 11 0 1 0 1 10 1 0 0 1 I have created the above K map based on the given truth table by only selecting groups of 1's Simplifying Boolean Expressions, Variable in yellow? X2 X3 X4 Variable in red ? X1 X2 X4 Variable in blue? X1 X2 X3 Variable in green ?X1 X3 X4 Variable purple ? X1 X2 X4 F, Z2 = X2 X3 X4 + X1 X2 X4 + X1 X2 X3 + X1 X3 X4 + X1 X2 X4 Simplified Z2 =

          K map for the output Z2,
X3 X4
X1 X2
00
01
11
10
00
0
1
1
0
01
1
1
0
0
11
0
1
0
1
10
1
0
0
1
I have created the above K map based on the given truth table by only selecting groups of 1's
Simplifying Boolean Expressions,
Variable in yellow? X2 X3 X4
Variable in red ? X1 X2 X4
Variable in blue? X1 X2 X3
Variable in green ?X1 X3 X4
Variable purple ? X1 X2 X4
F, Z2 = X2 X3 X4 + X1 X2 X4 + X1 X2 X3 + X1 X3 X4 + X1 X2 X4
Simplified Z2 =

K map for the output Z2,
X3 X4
X1 X2
00
01
11
10
00
0
1
1
0
01
1
1
0
0
11
0
1
0
1
10
1
0
0
1
I have created the above K map based on the given truth table by only selecting groups of 1's
Simplifying Boolean Expressions,
Variable in yellow? X2 X3 X4
Variable in red ? X1 X2 X4
Variable in blue? X1 X2 X3
Variable in green ?X1 X3 X4
Variable purple ? X1 X2 X4
F, Z2 = X2 X3 X4 + X1 X2 X4 + X1 X2 X3 + X1 X3 X4 + X1 X2 X4
Simplified Z2 =

Added by Juan Jos- T.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Manisha Sarker

01/11/2023

Step 1

Step 1: The K-map is given in the image. Show more…

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K map for the output Z2, X3 X4 X1 X2 00 01 11 10 00 0 1 1 0 01 1 1 00 11 0 1 01 10 1 00 1 Ο Ο Ο Ο I have created the above K map based on the given truth table by only selecting groups of 1's Simplifying Boolean Expressions, Variable in yellow→ X2 X3 X4 Variable in red → X1 X2 X4 Variable in blue→ X1 X2 X3 Variable in green→X1 X3 X4 o Variable purple → X1 X2 X4 Ο F, Z2 = X2 X3 X4 + X1 X2 X4 + X1 X2 X3 + X1 X3 X4 + X1 X2 X4 Simplified Z2 =