布尔表达式化简的具体方法。

Question

    a（x+y）Z'+y（x'+Z')
    b  x'z（xy+y'z'+yZ）
    C  y'（xz'+y'z）'
    d  (y+z）'（×+y）'
                                                                                             

Answer 1

(x+y)z' + y(x'+z') 
= xz'+yz'+yx'+yz'
= (x+y+y)z'+yx'
= (x+y)z'+yx'
= xz'+yz'+yx'
= xz'+yx'

  x'z(xy+y'z'+yz)
= x'zxy+x'zy'z'+x'zyz
= 0 + 0 + x'yz
= x'yz

  y'(xz'+y'z)'
= y' + (xz'+y'z)'
= y' + (xz')'(y'z)'
= y' + (x'+z)(y+z')
= y' + x'z + yz'
= y' + z' + x'z
= y' + z' + x'
= (xyz)' //这一步要不要取决于你的电路设计

  (y+z')'(x'+y)'
= (y+z'+x'+y)'
= (x'+y+z')'
= xy'z