半加器、全加器、串行进位加法器、并行进位加法器
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半加器
s = a xor b
c = a and b
半加器、全加器、串行进位加法器、并行进位加法器

全加器
si = ai xor bi xor Ci-1
Ci = (ai xor bi) and Ci-1 or (ai and bi)
半加器、全加器、串行进位加法器、并行进位加法器

串行进位加法器
半加器、全加器、串行进位加法器、并行进位加法器

并行进位加法器(超前进位加法器)
进位生成项 Gi = Ai and Bi
进位递归条件 Pi = Ai xor Bi
进位表达式 Ci=(Ai and Bi) or ((Ai xor Bi) and Ci-1)
= Gi or (Pi and Ci-1)
和表达式 Si = Ai xor Bi xor Ci = Pi xor Ci-1
递推公式:
S0 = P0 xor C0-1
C0 = G0 or (P0 and C0-1)
S1 = P1 xor C0
C1 = G1 or (P1 and C0)
= G1 or (P1 and G0) or (P1 and P0 and C0-1)
S2 = P2 xor C1
C2 = G2 or (P2 and C1)
= G2 or (P2 and G1) or (P2 and P1 and G0) or
(P2 and P1 and P0 and C0-1)
S3 = P3 xor C2
C3 = G3 or (P3 and C2)
= G3 or (P3 and G2) or (P3 and P2 and G1) or
(P3 and P2 and P1 and G0) or
(P3 and P2 and P1 and P0 and C0-1)

