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In a Johnson's counter, all the negative triggered J-K flip-flops are used. Initially all the flip-flops are in reset condition and the outputs are Q3Q2Q1Q0 = 0000. What are the outputs of the flip-flops after the fifth negative going pulse?

In a Johnson's counter, all the negative triggered J-K flip-flops are used. Initially all the flip-flops are in reset condition and the outputs are Q3Q2Q1Q0 = 0000. What are the outputs of the flip-flops after the fifth negative going pulse? Correct Answer Q<span style="position: relative; line-height: 0; vertical-align: baseline; bottom: -0.25em; font-size: 10.5px; user-select: auto;">3</span>Q<span style="position: relative; line-height: 0; vertical-align: baseline; bottom: -0.25em; font-size: 10.5px; user-select: auto;">2</span>Q<span style="position: relative; line-height: 0; vertical-align: baseline; bottom: -0.25em; font-size: 10.5px; user-select: auto;">1</span>Q<span style="position: relative; line-height: 0; vertical-align: baseline; bottom: -0.25em; font-size: 10.5px; user-select: auto;">0</span> = 1110

Concept:

Johnson Counter:

  • The Johnson counter is similar to the Ring counter.
  • The only difference between the Johnson counter and the ring counter is that the outcome of the last flip flop is passed to the first flip flop as an input.
  • But in the Johnson counter, the inverted outcome Q' of the last flip flop is passed as an input.
  • The remaining work of the Johnson counter is the same as a ring counter.
  • The Johnson counter is also referred to as the Creeping counter.

 

JK flip flop:

  • The JK flip flop is basically a gated SR flip-flop with the addition of a clock input circuitry that prevents the illegal or invalid output condition that can occur when both inputs S and R are equal to logic level “1”.
  • Due to this additional clocked input, a JK flip-flop has four possible input combinations, “logic 1”, “logic 0”, “no change” and “toggle”.

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Truth Table:

 

Input Output
Description
J K Q
0 0 0 Memory
no change
0 1 0 Set Q » 1
1 0 1 reset Q » 0
1 1 0 Toggle
 

Solution:

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  Q0 Q1 Q2 Q3
0 0 0 0 0
1 0 0 0 1
2 0 0 1 1
3 0 1 1 1
4 1 1 1 1
5 1 1 1 0

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