Изменения

<tex>f(1,0,0,0) = a_{0000} \oplus a_{1000} = 1 \Rightarrow ,</tex> следовательно <tex>a_{1000} = 1</tex>

<tex>f(0,1,0,0) = a_{0000} \oplus a_{0100} = 0 \Rightarrow ,</tex> следовательно <tex>a_{0100} = 0</tex>

<tex>f(0,0,1,0) = a_{0000} \oplus a_{0010} = 0 \Rightarrow ,</tex> следовательно <tex> a_{0010} = 0</tex>

<tex>f(0,0,0,1) = a_{0000} \oplus a_{0001} = 0 \Rightarrow ,</tex> следовательно <tex> a_{0001} = 0</tex>

<tex>f(1,1,0,0) = a_{0000} \oplus a_{1000} \oplus a_{0100} \oplus a_{1100} = 1 \Rightarrow ,</tex> следовательно <tex> a_{1100} = 0</tex>

<tex>f(1,0,1,0) = a_{0000} \oplus a_{1000} \oplus a_{0010} \oplus a_{1010} = 0 \Rightarrow , </tex> следовательно <tex> a_{1010} = 1</tex>

<tex>f(1,0,0,1) = a_{0000} \oplus a_{1000} \oplus a_{0001} \oplus a_{1001} = 0 \Rightarrow , </tex> следовательно <tex> a_{1001} = 1</tex>

<tex>f(0,1,1,0) = a_{0000} \oplus a_{0100} \oplus a_{0010} \oplus a_{0110} = 1 \Rightarrow , </tex> следовательно <tex> a_{0110} = 1</tex>

<tex>f(0,1,0,1) = a_{0000} \oplus a_{0100} \oplus a_{0001} \oplus a_{0101} = 0 \Rightarrow , </tex> следовательно <tex> a_{0101} = 0</tex>

<tex>f(0,0,1,1) = a_{0000} \oplus a_{0010} \oplus a_{0001} \oplus a_{0011} = 0 \Rightarrow , </tex> следовательно <tex> a_{0011} = 0</tex>

<tex>f(1,1,1,0) = a_{0000} \oplus a_{1000} \oplus a_{0100} \oplus a_{0010} \oplus a_{1100} \oplus a_{1010} \oplus a_{0110} \oplus a_{1110} = 1 \Rightarrow , </tex> следовательно <tex> a_{1110} = 0</tex>

<tex>f(1,1,0,1) = a_{0000} \oplus a_{1000} \oplus a_{0100} \oplus a_{0001} \oplus a_{1100} \oplus a_{1001} \oplus a_{0101} \oplus a_{1101} = 0 \Rightarrow , </tex> следовательно <tex> a_{1101} = 0</tex>

<tex>f(1,0,1,1) = a_{0000} \oplus a_{1000} \oplus a_{0010} \oplus a_{0001} \oplus a_{1010} \oplus a_{1001} \oplus a_{0011} \oplus a_{1011} = 1 \Rightarrow , </tex> следовательно <tex> a_{1011} = 0</tex>

<tex>f(0,1,1,1) = a_{0000} \oplus a_{0100} \oplus a_{0010} \oplus a_{0001} \oplus a_{0110} \oplus a_{0101} \oplus a_{0011} \oplus a_{0111} = 0 \Rightarrow , </tex> следовательно <tex> a_{0111} = 1</tex>

<tex>f(1,1,1,1) = a_{0000} \oplus a_{1000} \oplus a_{0100} \oplus a_{0010} \oplus a_{0001} \oplus a_{1100} \oplus a_{1010} \oplus a_{1001} \oplus a_{0110} \oplus a_{0101} \oplus a_{0011} \oplus a_{1110} \oplus a_{1101} \oplus a_{1011} \oplus a_{0111} \oplus a_{1111} = 0 \Rightarrow , </tex> следовательно <tex> a_{1111} = 1</tex>

<tex> a_3 = P(0,0,0) \oplus P(0,0,1) \oplus P(0,0,1) \oplus P(0,0,1) \oplus P(0,1,0) \oplus P(0,1,0) \oplus P(0,1,0) \oplus P(0,1,1) = P(0,0,0) \oplus P(0,1,0) \oplus P(0,0,1,0) \oplus P(0,1,1), </tex>