Page 1047 - The Mechatronics Handbook

b

b

a
a
c
(a) (b) c c
b

a
(c) c

FIGURE 36.13 Three-variable K-map formats: (a) three-dimensional, (b) three-dimensional left and right halves,
(c) two-dimensional.

bc
a 00 01 11 10
0
abc abc abc abc
a 1
abc abc abc abc
(a) (b) c

FIGURE 36.14 Three variable two-dimensional K-map formats: (a) minterm labels, (b) composite scale labels.

c
cde d d
ab 000 001 011 010 100 101 111 110
0 1 3 2 4 5 7 6
00
8 9 11 10 12 13 15 14
b 01
b
a 0 1 24 25 27 26 28 29 31 30 b
0 1 11
0 a
10 16 17 19 18 20 21 23 22
2 3
a 1
(a) (d) e e
d
def e e
b
bc abc 000 001 011 010 100 101 111 110
a 00 01 11 10 0 1 3 2 4 5 7 6
0 1 3 2 000
0
8 9 11 10 12 13 15 14
4 5 7 6 001
a 1
(b) 24 25 27 26 28 29 31 30 c
011
c
b
c 010 16 17 19 18 20 21 23 22
cd
ab 00 01 11 10
0 1 3 2 32 33 35 34 36 37 39 38
00 100
4 5 7 6 40 41 43 42 44 45 47 46
01 101
a c
11 12 13 15 14 b 56 57 59 58 60 61 63 62
111
a b
10 8 9 11 10 48 49 51 50 52 53 55 54
110
(c) d (e) f f

FIGURE 36.15 Formats for K-maps for functions of 2–6 independent variables with conformal coordinate scales:
(a) two-variable case f(a, b), three-variable case f(a, b, c); (c) four-variable case f(a, b, c, d); (d) five-variable case
f(a, b, c, d, e); (e) six-variable case f(a, b, c, d, e, f ).
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