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Digital Electronics: Principles, Devices and Applications

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442 <strong>Digital</strong> <strong>Electronics</strong>J A = BC (11.2)K A = B + C (11.3)J B = A (11.4)K B = A + C (11.5)J C = AB (11.6)K C = A + B (11.7)The above expressions can now be used to implement combinational circuits to generate J A , K A ,J B , K B , J C <strong>and</strong> K C inputs. Figure 11.27 shows the complete counter circuitCJ CBJ BAJ AFF-CClkFF-BClkFF-AClkCK CBK BAK AClock-InFigure 11.27Counter with an arbitrary sequence.The design procedure illustrated above can be used to design a synchronous counter for any givencount sequence with the condition that no state occurs more than once in one complete cycle of thegiven count sequence as the design cannot h<strong>and</strong>le a situation where a particular present state has morethan one future state.

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