Simplify the same Boolean function

$f(a,b,c,d)=(a^{\text{'}}+c{)}^{\text{'}}d+c^{\text{'}}(a+b{d}^{\text{'}})$

to be the sum of its minterms by obtaining its truth table first.

Find and show the truth table of this function.

Explain each step of the truth table and why the values change they way they did

Write the sum of minterms of this function explaining each step.

Implement the sum of minterms of this function and connect $a,b,c$ and $d$ to $0,1,$

$0$ and clock, respectively. Show and explain the completed circuit.

Go through each of the possible inputs with both circuit outputs on the same

waveform and explain how the waveform indicates the equations are the same.

$$ Set the delay of all gates to be $2ns.$ Set the rising edges of $d$ to be reference

lines. Show the waveforms of $d$ and output $f.$ Indicate the delay from the rising

edge of $d$ to the corresponding edge of $f.$ Explain why the delay is as you

observed.