A⊕B=A"B+AB"
(A⊕B)"=(A"B+AB")"=AB+A"B"=A⊙B
A⊕B⊕C=(A"B+AB")C"+(A"B+AB")"C
=A"BC"+AB"C"+A"B"C+ABC 每項的三個元素中有奇數個1
=∑m(1,2,4,7)
在四元素函式中的表現為:
(A⊕B⊕C)"=[(A⊕B)⊕C]"=(A⊕B)⊙C
=(A⊕B)"C"+(A⊕B)C =(A⊙B)C"+(A⊕B)C
=ABC"+A"B"C"+AB"C+A"BC 取反後,每項的三個元素中有奇數個0
=∑m(0,3,5,6)
======================
A⊕B⊕C⊕D
=(A⊕B⊕C)D"+(A⊕B⊕C)"D
=(A"BC"+AB"C"+A"B"C+ABC)D"+(ABC"+A"B"C"+AB"C+A"BC)D
=A"BC"D"+AB"C"D"+A"B"CD"+ABCD"+ABC"D+A"B"C"D+AB"CD+A"BCD
=∑m(4,8,2,14,13,1,11,7)=∑m(1,2,4,7,8,11,13,14)
還是這樣:每項的四個元素中有奇數個1
可想而知:(A⊕B⊕C⊕D)"=∑m(0,3,5,6,9,10,12,15)
A⊕B=A"B+AB"
(A⊕B)"=(A"B+AB")"=AB+A"B"=A⊙B
A⊕B⊕C=(A"B+AB")C"+(A"B+AB")"C
=A"BC"+AB"C"+A"B"C+ABC 每項的三個元素中有奇數個1
=∑m(1,2,4,7)
在四元素函式中的表現為:
(A⊕B⊕C)"=[(A⊕B)⊕C]"=(A⊕B)⊙C
=(A⊕B)"C"+(A⊕B)C =(A⊙B)C"+(A⊕B)C
=ABC"+A"B"C"+AB"C+A"BC 取反後,每項的三個元素中有奇數個0
=∑m(0,3,5,6)
======================
A⊕B⊕C⊕D
=(A⊕B⊕C)D"+(A⊕B⊕C)"D
=(A"BC"+AB"C"+A"B"C+ABC)D"+(ABC"+A"B"C"+AB"C+A"BC)D
=A"BC"D"+AB"C"D"+A"B"CD"+ABCD"+ABC"D+A"B"C"D+AB"CD+A"BCD
=∑m(4,8,2,14,13,1,11,7)=∑m(1,2,4,7,8,11,13,14)
還是這樣:每項的四個元素中有奇數個1
可想而知:(A⊕B⊕C⊕D)"=∑m(0,3,5,6,9,10,12,15)