. 2015 Mar 2;7(1):89–94. doi: 10.1016/j.jare.2015.02.006

Table 2.

Circuit LPs at different time instants.

Inputs	T = 0	T = δ₁	T = δ₂	T = δ₁ + δ₃	T = δ₁ + δ₂	T = δ₂ + δ₃	T = δ₁ + δ₂ + δ₃	Merged LP
a b c	d e f	d e f	d e f	d e f	d e f	d e f	d e f
0 0 1	‘000’ LP_1,0	‘000’	‘010’	‘010’	‘011’	‘011’	‘011’	LP₁
LP_1,_δ₁	LP_1,_δ₂	LP_{1, δ1+δ3}	LP_1,_δ_1+δ2	LP_1,_δ₂₊_δ₃	LP_1,_δ₁₊_δ₂₊_δ₃

0 1 1	‘000’	‘010’	‘010’	‘011’	‘011’	‘011’	LP₁
LP_1,_δ₁	LP_1,_δ₂	LP_1,_δ₁₊_δ₃	LP_1,_δ₁₊_δ₂	LP_1,_δ₂₊_δ₃	LP_1,_δ₁₊_δ₂₊_δ₃
1 0 1	‘000’	‘010’	‘010’	‘011’	‘011’	‘011’	LP₁
LP_1,_δ₁	LP_1,_δ₂	LP_1,_δ₁₊_δ₃	LP_1,_δ₁_+δ₂	LP_1,_δ₂₊_δ₃	LP_1,_δ₁₊_δ₂₊_δ₃
1 1 0	‘100’	‘100’	‘101’	‘111’	‘110’	‘110’	LP₂
LP_2,_δ₁	LP_2,_δ₂	LP_2,_δ₁₊_δ₃	LP_2,_δ₁₊_δ₂	LP_2,_δ₂₊_δ₃	LP_2,_δ₁₊_δ₂₊_δ₃
1 1 1	‘100’	‘110’	‘111’	‘111’	‘110’	‘110’	LP₃
LP_2,_δ₁	LP_3,_δ₂	LP_3,_δ₁₊_δ₃	LP_2,_δ₁_+δ₂	LP_2,_δ₂₊_δ₃	LP_2,_δ₁₊_δ₂₊_δ₃

0 0 0	‘011’ LP_2,0	‘011’	‘001’	‘001’	‘001’	‘000’	‘000’	LP₄
LP_3,_δ₁	LP_3,_δ₂	LP_4,_δ₁₊_δ₃	LP_3,_δ₁_+δ₂	LP_3,_δ₂₊_δ₃	LP_3,_δ₁₊_δ₂₊_δ₃
0 1 0	‘011’	‘001’	‘001’	‘001’	‘000’	‘000’	LP₄
LP_3,_δ₁	LP_3,_δ₂	LP_4,_δ₁₊_δ₃	LP_3,_δ₁_+δ₂	LP_3,_δ₂₊_δ₃	LP_3,_δ₁₊_δ₂₊_δ₃
1 0 0	‘011’	‘001’	‘001’	‘001’	‘000’	‘000’	LP₄
LP_3,_δ₁	LP_3,_δ₂	LP_4,_δ₁₊_δ₃	LP_3,_δ₁₊_δ₂	LP_3,_δ₂₊_δ₃	LP_3,_δ₁₊_δ₂₊_δ₃
1 1 0	‘111’	‘101’	‘100’	‘110’	‘111’	‘110’	LP₅
LP_4,_δ₁	LP_4,_δ₂	LP_5,_δ₁₊_δ₃	LP_4,_δ₁₊_δ₂	LP₄, _δ₂₊_δ₃	LP_2,_δ₁₊_δ₂₊_δ₃
1 1 1	‘111’	‘111’	‘110’	‘110’	‘110’	‘110’	LP₆
LP_4,_δ₁	LP_5,_δ₂	LP_6,_δ₁₊_δ₃	LP_4,_δ₁₊_δ₂	LP_2,_δ₂₊_δ₃	LP_2,_δ₁₊_δ₂₊_δ₃

0 0 0	‘110’ LP_3,0	‘010’	‘011’	‘011’	‘001’	‘001’	‘000’	LP₇
LP_5,_δ₁	LP_5,_δ₂	LP_7,_δ₁₊_δ₃	LP_3,_δ₁_+δ₂	LP_5,_δ₂_+δ₃	LP_3,_δ₁₊_δ₂₊_δ₃
0 1 0	‘010’	‘011’	‘011’	‘001’	‘001’	‘000’	LP₇
LP_5,_δ₁	LP_5,_δ₂	LP_7,_δ₁₊_δ₃	LP_3,_δ₁_+δ₂	LP_5,_δ₂_+δ₃	LP_3,_δ₁₊_δ₂₊_δ₃
1 0 0	‘010’	‘011’	‘011’	‘001’	‘001’	‘000’	LP₇
LP_5,_δ₁	LP_5,_δ₂	LP_7,_δ₁₊_δ₃	LP_3,_δ₁_+δ₂	LP_5,_δ₂_+δ₃	LP_3,_δ₁_+δ₂_+δ₃
0 0 1	‘010’	‘011’	‘011’	‘011’	‘011’	‘011’	LP₈
LP_5,_δ1	LP_5,_δ₂	LP_7,_δ₁₊_δ₃	LP_1,_δ₁_+δ₂	LP_1,_δ₂_+δ₃	LP_1,_δ₁₊_δ₂₊_δ₃
0 1 1	‘010’	‘011’	‘011’	‘011’	‘011’	‘011’	LP₈
LP_5,_δ₁	LP_5,_δ₂	LP_7,_δ₁₊_δ₃	LP_1,_δ₁_+δ₂	LP_1,_δ₂_+δ₃	LP_1,_δ₁₊_δ₂₊_δ₃
1 0 1	‘010’	‘011’	‘011’	‘011’	‘011’	‘011’	LP₈
LP_5,_δ₁	LP_5,_δ₂	LP_7,_δ₁₊_δ₃	LP_1,_δ₁_+δ₂	LP_1,_δ₂_{+ δ}₃	LP_1,_δ₁₊_δ₂₊_δ₃