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CHAPTER 7

CHAPTER 7. DESIGNING SEQUENTIAL SYSTEMS. T 1 = x´q 1 + xq´ 1 q 2 T 2 = x´q 2 + xq´ 2 + xq´ 1 q 2 z = q 1 q 2. z = x´ + q 1 q 2 D 1 = x´ + q´ 1 + q´ 2 D 2 = xq´ 2 + xq´ 2. J 1 = 1 K 1 = xq 2 J 2 = x´ K 2 = x´. D A = xAC´ + xBC

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CHAPTER 7

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  1. CHAPTER 7 DESIGNING SEQUENTIAL SYSTEMS

  2. T1 = x´q1 + xq´1q2 T2 = x´q2 + xq´2 + xq´1q2 z =q1q2

  3. z =x´ + q1q2 D1 = x´ + q´1 + q´2 D2 = xq´2 + xq´2 J1= 1 K1 = xq2 J2 = x´K2 = x´

  4. DA = xAC´ + xBC DB = x´A + x´B + x´C DC = x´A + x´B + x´C´ + AC´ z = A + BC JD =KD =CBA JC =KC =BA JB =KB =A JA =KA = 1

  5. JA =KA = 1 JB =KB =x´A +xA´ JC =KC =x´BA +xB´A´

  6. 0, 3, 2, 4, 1, 5, 7, and repeat

  7. D1 = q´2q3 + q2q´3 D2 = q´1q´2q´3 + q´1q2q3 + q1q´2q3 D3 = q´2

  8. q1 = 1, q2 = 1, and q3 = 0 D1 = q´2q3 + q2q´3 = 00 + 11 = 1 D2 = q´1q´2q´3 + q´1q2q3 + q1q´2q3 = 001 + 011 + 100 = 0 D3 = q´2 = 0

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