Discussion
The output of a 2-input multiplexer is connected back to one of its inputs as shown in the figure.
Match the functional equivalence of this circuit to one of the following options.
Answer: B
The circuit is equivalent to a D latch.
The output Q is fed back to input 0, the external data line goes to input 1, and S selects between them:
- S = 1: Q follows input 1, so the output tracks the data while S is high (the latch is transparent).
- S = 0: Q takes input 0, which is Q itself, so the output holds its last value.
Following the data while an enable is high and holding it while the enable is low is a level-sensitive D latch, with S as the enable. A D flip-flop changes only on a clock edge, which needs two latches in a master-slave arrangement. A half-adder has two outputs, sum and carry, and no memory, and a demultiplexer routes one input to one of several outputs.
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