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U. Glaeser

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gi<br />

pi<br />

FIGURE 9.22(b) Carry skip circuit that excludes conflict during signal transient.<br />

FIGURE 9.22(c) Effect of signal conflict on circuit delay.<br />

according to the following Boolean equations if the carry-in signal c i−1 to the ith 1-bit full adder is<br />

determined:<br />

© 2002 by CRC Press LLC<br />

g<br />

p<br />

i+1<br />

i+1<br />

c i = g i + p ic i−1<br />

p<br />

i+3<br />

c i-1 c i+3<br />

Signal Voltage (Vs )<br />

c i+3(B)<br />

c i+3(A)<br />

p i<br />

p i+1<br />

p i+2<br />

~g<br />

0 t 1 t 2<br />

(p i+3=0→1)<br />

(p i+3=1→0)<br />

c i+1 = g i+1 + p i g i + p i+1p i c i−1<br />

c i+2 = g i+2 + p i+2 g i+1 + p i+2 p i+1 g i + p i+2 p i+1 p i c i−1<br />

p<br />

i+2<br />

i+2<br />

~g<br />

i+3<br />

c i-1<br />

V s(A)<br />

V s(B)<br />

c i+3<br />

Time<br />

node B<br />

(9.42)<br />

(9.43)<br />

(9.44)

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