describe in your own words how a clocked SR latch works. Your answer must also include a labelled schematic diagram of your clocked SR latch.

A clocked SR latch is a type of flip-flop that is used to store a single bit of information and is synchronized by a clock signal. Unlike the basic SR latch, the clocked SR latch has an additional input, the clock input, which controls when the inputs S and R are allowed to affect the output Q.

The circuit diagram of a clocked SR latch is shown below:

       _____
S ----|     |
      |     |
      |     |-----Q
      |     |    |
      |     |____|
      |
      |       _____
      |      |     |
      |      |     |
      |------|     |-----Q'
      |      |_____|
      |
      |
CLK --|_______|

In the diagram, S and R represent the set and reset inputs, respectively, and Q and Q' represent the complementary outputs of the latch. The clock input is denoted by CLK.

When the clock input is high, the latch is said to be "transparent," because any changes to the S and R inputs will immediately affect the output Q. When the clock input is low, the latch is said to be "latched," because the output Q is "latched" or held at its current state until the clock input goes high again.

Here's how the clocked SR latch works:

1. When the clock input is high, the latch is transparent, and the outputs Q and Q' will follow the inputs S and R, respectively.
2. When the clock input goes low, the outputs Q and Q' are latched at their current state.
3. While the clock input is low, any changes to the inputs S and R will not affect the outputs Q and Q'. Instead, the changes will be "stored" in the circuit, and will only affect the outputs when the clock input goes high again.
4. When the clock input goes high again, the latch becomes transparent once more, and the outputs Q and Q' will immediately follow any changes to the inputs S and R.

Overall, the clocked SR latch is a useful circuit for storing a single bit of information in a synchronized manner, and is commonly used in digital circuits such as microprocessors and memory systems.