By Noel M. Morris (auth.)
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14 TRANSISTOR-TRANSISTO R LOGIC (TTL) The development of TTL represented a break from conventional designs and was made possible by developments in monolithic IC production techniques. One basic form of TTL gate, a NAND When any input line is at the logic '0' level, the current flowing in R 1 is diverted to that line. The flow of base--emitter current causes TR1 to saturate, thereby causing TR1 collector voltage to fall to the logic '0' level; that is, the collector signal of TR1 is the AND function of the inputs.
Y Further, if we let E = W. Y, and F = W. X . F =X. (iV. Y). (W. X. Y=W+Y = (B +C). (A+ C) (De Morgan) =A. B +B. C +A. C +C. C (distributive law) = A . B +B. C +A . C + 0 (theorem 8) =A. B +B. C +A. C (theorem 1) = A . B . (C +C)+ (B . C + B . C)+ (A . C +A . 6) Solution The first step is to write the equation in the form f = W. D, where = M . N = (B. C). (A . C) Applying De Morgan's theorem once more gives X (A . B. C +A . B . C + B . C +A . C)+ (B . C +A . C) = (A. c. c. (A+ 1)) +(B. c +A. X.
10 Which of the following is equal to logic '0': (a) A+ 1, (b) A . A, (c) A+ A . A, (d) A+ 1, (e) (A+ B). B . (A+ A. B)? 11 Show that A . B. C . 15 +A . B . C +A. C . D +A . C . D +C. D =C. (D +A). 6 is simply equivalent to WAND X, that is, input Y is redundant and plays no part in the operation of the system. 1 Use truth tables to verify that (a) A+ B. C . D = (A+ B). D. 2 Use truth tables to verify De Morgan's theorem (a) A . B = A+ B, (b) A + B = A. B. 3 Show that A . B. E + B . C + B . E = B +A .