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How many different states does a 3-bit asynchronous counter have?
- a)2
- b)4
- c)8
- d)16
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
How many different states does a 3-bit asynchronous counter have?a)2b)...
In a n-bit counter, the total number of states = 2n.
Therefore, in a 3-bit counter, the total number of states = 23 = 8 states.
Therefore, in a 3-bit counter, the total number of states = 23 = 8 states.
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Community Answer
How many different states does a 3-bit asynchronous counter have?a)2b)...
Solution:
A 3-bit asynchronous counter is a digital circuit that counts from 0 to 7 in binary. Each flip-flop in the counter represents one bit, and the number of possible states is determined by the number of bits.
To determine the number of different states, we need to consider the binary representation of each state.
- In a 3-bit counter, the binary representation of the states ranges from 000 to 111.
- The first bit can take on two values: 0 or 1.
- The second bit can also take on two values: 0 or 1.
- The third bit can also take on two values: 0 or 1.
Hence, to find the total number of states, we multiply the number of choices for each bit:
2 * 2 * 2 = 8
Therefore, a 3-bit asynchronous counter has 8 different states.
Therefore, the correct answer is option 'C' (8).
A 3-bit asynchronous counter is a digital circuit that counts from 0 to 7 in binary. Each flip-flop in the counter represents one bit, and the number of possible states is determined by the number of bits.
To determine the number of different states, we need to consider the binary representation of each state.
- In a 3-bit counter, the binary representation of the states ranges from 000 to 111.
- The first bit can take on two values: 0 or 1.
- The second bit can also take on two values: 0 or 1.
- The third bit can also take on two values: 0 or 1.
Hence, to find the total number of states, we multiply the number of choices for each bit:
2 * 2 * 2 = 8
Therefore, a 3-bit asynchronous counter has 8 different states.
Therefore, the correct answer is option 'C' (8).
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