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Fill in the following Karnaugh map using 1,0,X f= A'B'+A'B'C'+A'BD'+AC'D+A'BD+AB'CD'+ABCD' \ AB CD \ 00 01 11 10 00 ? ? ? ? 01 ? ? ? ? 11 ? ? ? ? 10 ? ? ? ? (b) By the above map, find the minimum sum of product for f and f' (c) Find the minimum product to sum for f

Fill in the following Karnaugh map using 1,0,X f= A'B'+A'B'C'+A'BD'+AC'D+A'BD+AB'CD'+ABCD' \ AB CD \ 00 01 11 10 00 ? ? ? ? 01 ? ? ? ? 11 ? ? ? ? 10 ? ? ? ? (b) By the above map, find the minimum sum of product for f and f' (c) Find the minimum product to sum for f

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Fill in the following Karnaugh map using 1,0,X

f= A'B'+A'B'C'+A'BD'+AC'D+A'BD+AB'CD'+ABCD'

\ AB        
CD \ 00 01 11 10
  00 ? ? ? ?
  01 ? ? ? ?
  11 ? ? ? ?
  10 ? ? ?

?

 

 

(b) By the above map, find the minimum sum of product for f and f'

(c) Find the minimum product to sum for f

Expert Solution
Step 1

f= A'B'+A'B'C'+A'BD'+AC'D+A'BD+AB'CD'+ABCD'

 

there are four variables.

Using property  A+A'=1

f=A'B'(C+C')(D+D')+A'B'C'(D+D')+A'B(C+C')D'+A(B+B')C'D+A'B(C+C')D+AB'CD'+ABCD'

 

f= A'B'CD +A'B'CD' + 'A'B'C'D + A'B'C'D' + A'B'C'D + A'B'C'D' + A'BCD' + A'BC'D' + ABC'D +AB'C'D + A'BCD +A'BC'D + AB'CD'+ ABCD'

 

f=A'B'CD +A'B'CD' + 'A'B'C'D + A'B'C'D' + A'BCD' + A'BC'D' +A'BCD +A'BC'D + ABC'D  +ABCD' +AB'CD'

 

 

 

Step 2

(a)

Based on above expression, filled K map is shown below

                      Electrical Engineering homework question answer, step 2, image 1

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