Digital Design (4th Edition)

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1 Synchronous Sequential Logic Chapter 5 Partially adapted from Maciej Ciesielski Un. Of Massachusetts
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12 Other Flip Flops s D flip flops requires smallest number of gates. s Thus, they are commonly used s Other flip flops are • JK flip flops • T flip flops
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13 Three operations of flip flops s Three operations that can be performed with flip flops are • Set it to 1 • Reset it to 0 • Complement its output s D flip flop can only set and reset s JK has two inputs and can perform all three operations JK flip flop s J input sets to 1 s K input resets to 0 s When both inputs are enabled, output is complemented.
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14 JK flip flop s The function of the D input: D=JQ’+K’Q • When J=1 AND K=0, D=Q’+Q=1 • When J=0 AND K=1, D=0 • When J=1 AND K=1, D=Q’ (complemented) • When J=0 AND K=0, D=Q (unchanged) T (toggle) flip flop s It is a complementing ff. s J and K are tied together (Fig a) • When T=0 (J=K=0), no change • When T=1 (J=K=1), complement s Can be constructed from D ff (Fig b) • When T=0, D=Q (no change) • When T=1, D=Q’ (complement) Q T Q T Q T D + = =
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15 Characteristic Tables Q(t) refers to the presents state. Q(t+1) refers to the next state. Characteristic Equations s D flip flop Q(t+1)=D s JK flip flop Q(t+1)=JQ’+K’Q s T flip flop Q T Q T Q T t Q + = = + ) 1 (
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20 Analysis with JK flip-flops s For D flip-flops, state equation is the same as the input equation. s
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This note was uploaded on 01/13/2011 for the course CENG 275 taught by Professor Suleymantosun during the Spring '10 term at Ankara Üniversitesi.

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Chapter5 - Synchronous Sequential Logic Chapter 5 Partially...

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