Building DFF and Register using multiplexors

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Building DFF and Register using multiplexors

Building DFF using Nands has been discussed in other posts. A student was wondering about building Register using a multiplexor.

DFF built with muxes

Register built with muxes

The multiplexors must be hazard free to be used in asynchronous sequential circuits like these.

Don't combine the left-most 2 muxes into a 4-way mux. A hazard free 4-way is much bigger than two hazard free 2-ways.

In Logisim, these circuits initialize to unknown output (shown as "x"). In the real world they would initialize to unknown random 0s or 1s.

Here is the Logisim file for these circuits: mux-dff-reg.circ