An L-M flip-flop works as follows: If LM = 00, the next state of the flip-flop is 1. If LM = 01, the next state of the flip-flop is the same as the present state. If LM = 10, the next state of the flip-flop is the complement of the present state. If LM = 11, the next state of the flip-flop is 0. (a) Complete the following table (use don’t-cares when possible):   (b) Using this table and Karnaugh maps, derive and minimize the input equations for a counter composed of three L-M flip-flops which counts in the following sequence: ABC = 000, 100, 101, 111, 011, 001, 000, . . .

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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An L-M flip-flop works as follows:
If LM = 00, the next state of the flip-flop is 1.
If LM = 01, the next state of the flip-flop is the same as the present state.
If LM = 10, the next state of the flip-flop is the complement of the present state.
If LM = 11, the next state of the flip-flop is 0.
(a) Complete the following table (use don’t-cares when possible):

 

(b) Using this table and Karnaugh maps, derive and minimize the input equations
for a counter composed of three L-M flip-flops which counts in the following
sequence: ABC = 000, 100, 101, 111, 011, 001, 000, . . .

Present State
Next State
Qt
M
1
1
1
1
Transcribed Image Text:Present State Next State Qt M 1 1 1 1
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