Question: How many states does a 3-bit counter have?
Options:
4
6
8
16
Correct Answer: 8
Solution:
A 3-bit counter can represent 2^3 = 8 different states.
How many states does a 3-bit counter have?
Practice Questions
Q1
How many states does a 3-bit counter have?
4
6
8
16
Questions & Step-by-Step Solutions
How many states does a 3-bit counter have?
Step 1: Understand what a 3-bit counter is. A 3-bit counter uses 3 bits to represent numbers.
Step 2: Know that each bit can be either 0 or 1. So, for each bit, there are 2 possible values.
Step 3: Since there are 3 bits, you need to calculate the total number of combinations. This is done by raising 2 (the number of values per bit) to the power of 3 (the number of bits).
Step 4: Calculate 2^3. This means 2 multiplied by itself 3 times: 2 * 2 * 2.
Step 5: Perform the calculation: 2 * 2 = 4, and then 4 * 2 = 8.
Step 6: Conclude that a 3-bit counter can represent 8 different states.
Binary Representation – A 3-bit counter uses binary digits (bits) to represent numbers, where each bit can be either 0 or 1.
Exponential Growth – The number of states in a binary counter is calculated using the formula 2^n, where n is the number of bits.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
