P4: Design a 1-to-8 demultiplexer using only 1-to-4 demultiplexers. No additional gates can be used.

Question

Question

Answer 1

Answer #1

a 1:8 demux has 3 select lines 1 input line and 8 output lines.

according to the select line value an output line is selected to send the input.

now,

a 4:1 demux has 2 select line and 1 input and 4 output lines.

in order to convert a 1:4 to 1:8.

we will need 2 1:4 demux's

we can connect the las of the select lines to the select line of the 1:4 demux and the MSB can be connected to the enable of the demux.

the first mux will enable at A=0 hence a not gate is used there to connect A to the enable pin.

and second mux will run at A=1 hence a is connected directly to enable of the second.

the diagram for the demux is shown below:

Answer 2

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