The truth table for a Boolean expression is shown on figure1.  A, B, C, D are inputs and Y is the output Write the Boolean expression on SOP form Y = f (A, B, C, D) Minimize the function using Karnaugh Map (K Map) Draw the minimized function using logic gates

Systems Architecture
7th Edition
ISBN:9781305080195
Author:Stephen D. Burd
Publisher:Stephen D. Burd
Chapter3: Data Representation
Section: Chapter Questions
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The truth table for a Boolean expression is shown on figure1.

 A, B, C, D are inputs and Y is the output

  • Write the Boolean expression on SOP form

Y = f (A, B, C, D)

  • Minimize the function using Karnaugh Map (K Map)
  • Draw the minimized function using logic gates
A B C D Y
000000
2
3
Truth Table
1000
00
00
4
5
6
0 1
0
1
0 1
7
0
1
8
1
0
9
1
0
10 1 0
11 1 0
12 1
13 1
14 1
15 1
1| 0
1 0 1
1 1
1
0
0
0
1
0
0 1
1 1 1
0
0
1
0
1
1
1 0
1
1
1
1
00
1
1 1
0
1
1
1
0
1
10
10
1 1
1 1
Transcribed Image Text:A B C D Y 000000 2 3 Truth Table 1000 00 00 4 5 6 0 1 0 1 0 1 7 0 1 8 1 0 9 1 0 10 1 0 11 1 0 12 1 13 1 14 1 15 1 1| 0 1 0 1 1 1 1 0 0 0 1 0 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 00 1 1 1 0 1 1 1 0 1 10 10 1 1 1 1
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