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4 states

because

small counter can be constructed using larger counter by skipping the states. this known as modify count , correct number of the states can be determined by lowest neutral counter which is greater than our modified count . A mod-7 has 3 states

lowest neutral counter is 8 and our modified counter is 7.mod 8 has 3 states therefore , it is closer to 8 .5,6,7 have 3 states,and 9 to 16 counters have 4 states

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Q: How many states does a mod 14 counter have?
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