How many flip-flops are required to produce a divide-by-16 device?a.2b.3c.8d.4
Question
How many flip-flops are required to produce a divide-by-16 device?a.2b.3c.8d.4
Solution
The answer is d. 4.
Here's why:
A flip-flop is a circuit that can hold a binary digit, either a 0 or a 1. It's the simplest form of a sequential circuit, which means it changes state based on a sequence of inputs.
A divide-by-N device is a counter that sequences through N states for every cycle of input. In this case, we're looking for a divide-by-16 device, which means it needs to sequence through 16 states.
In binary, 16 is represented as 10000. This is a 5-bit number, but since we start counting from 0, we only need 4 bits to represent numbers up to 15 (which is 1111 in binary).
Therefore, we need 4 flip-flops to produce a divide-by-16 device. Each flip-flop holds one bit, so four flip-flops can hold a 4-bit number, which is enough to sequence through 16 states.
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