*Digital Design,Principles and Practices*

*3e*by John F. Wakerly frustrated me on the characteristic equation of S-R latch.

In the chapter describing sequential circuit,John just list the characteristic equations in a table without even a word for explaination.It reads the equation of S-R latch is \( Q* = S + R' \cdot Q\).

I thought it over and over,again and again with the conclusion that this equation is wrong.When both S and R are 1,Q*(the next state of Q) should be 0.However,according to this equation,\(Q* = 1 + 0 \cdot Q\),we could calculuate that \(Q* = 1\) which is obvious wrong.

After wikipediaed S-R latch,I found there is a condition \(S \cdot R = 0 \)for this equation of High-Active S-R latch in http://books.google.com/books?id=4s...zTF&sig=ewGWuNX8g_4KozJuL5VyAS2yErc#PPA343,M1

So,My final question comes.Why does we need this condition for the equation?Why don't we just use \(Q* = S \cdot R' + R' \cdot Q\) so that we could emit the condition \(S \cdot R = 0\)

Thanks in advance.

MichealY.