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Quiz 3-1
Use a K-MAP to simplify the following function
, , 0,1,2,3F a b c m
Solution
abc 00 01 11 10
0
1 1 111
F a
Quiz 3-2
Use a K-MAP to simplify the following function
, , 0,1,4,5F a b c m
Solution
abc 00 01 11 10
0
1 1 111
F b
Quiz 3-3
Use a K-MAP to simplify the following function
, , 1, 2,3,6F a b c m
Solution
abc 00 01 11 10
0
1 1
1
1
1
EPI
EPI
PI
Solution
abc 00 01 11 10
0
1 1
1
1
1
F ac bc ab
EPI
EPI
PI
Redundant term
Solution
abc 00 01 11 10
0
1 1
1
1
1
F ac bc
EPI
EPI
Quiz 3-4
Use a K-MAP to simplify the following function
, , 0,3,5,6F a b c m
Solution
abc 00 01 11 10
0
1
1 1
1 1
F abc abc abc abc
Solution
F abc abc abc abc
F a bc bc a bc bc
F a b c a b c
F a b c
Solution
abc 00 01 11 10
0
1
1 1
1 1
F a b c
Quiz 3-5
Use a K-MAP to simplify the following function
, , 0,1,6,7F a b c m
Solution
abc 00 01 11 10
0
1 1
11
1
F ab ab a b
Quiz 3-6
Use a K-MAP to simplify the following function
, , 0,1, 2,3,5,6,7F a b c m
Solution
abc 00 01 11 10
0
1 1
11
1
F a b c
, , 0,1,2,3,5,6,7F a b c m
1
11
Quiz 3-7
Use a K-MAP to simplify the following function
, , , 1,6,7,8,10,12F a b c d m
Four-variable K-Mapab
cd 00 01 11 10
00
01
11
10
1
11
1
1
1
, , , 1,6,7,8,10,12F a b c d m
Four-variable K-Mapab
cd 00 01 11 10
00
01
11
10
1
11
1
1
1
, , , 1,6,7,8,10,12F a b c d m
Four-variable K-Mapab
cd 00 01 11 10
00
01
11
10
1
11
1
1
1
F abcd abc acd abd
Quiz 3-8
Use a K-MAP to simplify the following function
, , , 1,3,5,7,9,11,15F a b c d m
Four-variable K-Mapab
cd 00 01 11 10
00
01
11
10
111
1 11
, , , 1,3,7,9,11,15F a b c d m
1
Four-variable K-Mapab
cd 00 01 11 10
00
01
11
10
111
1 11
, , , 1,3,7,9,11,15F a b c d m
1
Four-variable K-Mapab
cd 00 01 11 10
00
01
11
10
111
1 11
F ad cd bd
1
Quiz 3-9
Use a K-MAP to simplify the following function
, , , 0, 2,8,10F a b c d m
Four-variable K-Mapab
cd 00 01 11 10
00
01
11
10 1
1
1
1
, , , 0, 2,8,10F a b c d m
Four-variable K-Mapab
cd 00 01 11 10
00
01
11
10 1
1
1
1
, , ,F a b c d bd
Quiz 3-10
Use a K-MAP to simplify the following function
, , , 1,7,8,12 3,6,9,10F a b c d m d
Four-variable K-Mapab
cd 00 01 11 10
00
01
11
10
1
1d
1d1
, , , 1,7,8,12 3,6,9,10F a b c d m d
dd
Four-variable K-Mapab
cd 00 01 11 10
00
01
11
10
1
1d
1d1
, , ,F a b c d abd acd acd
dd
Quiz 3-11
Use a K-MAP to simplify the following function
, , , ,
7,15,31 10,18,21,25
F a b c d e
m d
Use Two Four-variable K-Maps
bcde 00 01 11 10
00
01
11
10
bcde 00 01 11 10
00
01
11
10
A=0 map A=1 map
1 1 1d d
d d
, , , ,
7,15,31 10,18, 21,25
F a b c d e
m d
Use Two Four-variable K-Maps
bcde 00 01 11 10
00
01
11
10
bcde 00 01 11 10
00
01
11
10
A=0 map A=1 map
1 1 1d d
d d
F acde abcde acde bcde
Quiz 3-12
Use a K-MAP to simplify the following function
, , 1, 2,3,6F a b c M
Solution
abc 00 01 11 10
0
1 1
1
1
1
EPI
EPI
, , 1, 2,3,6F a b c M
Solution
abc 00 01 11 10
0
1 1
1
1
1
F ac bc a c b c
EPI
EPI
Individual Quiz
Use a K-MAP to simplify the following function
, , , 2,3,4,5,6,7,10,11,13,15F w x y z m
