A given circuit has $6$ input bits, $D[5$:$0]$ and a $3-$bit output, $Y[2$:$0],$ and functions as follows:

if$(!$D$[0])$ Y $=3\text{'}$b$101$

else if$($D$[1])$ Y $=3\text{'}$b$011$

else if$($D$[2])Y=3^{\text{'}}b001$

else if$($D$[3]Y=3^{\text{'}}b110$

else if$($D$[4])Y=3^{\text{'}}b100$

else if$($D$[5])Y=3^{\text{'}}b010$

else

$Y=3^{\text{'}}b111$

$2\mathrm{.}1$ Fill in the truth tables, showing minterms only$),$ using only as many lines as you

require. $(7$ points$)$ Use $x$ or $?$ for don't care input values. Please read the question carefully and all steps $2.$ A given circuit has $6$ input bits, D$[5$: $0]$ and a $3-$bit output, Y$[2$: $0],$ and functions as follows: $[$ if $($D$[5]==1)$ Y$=3^\text{'}$b $111$; else if $($D$[4]==1)$ Y$=3^\text{'}$ b $110$; else if $($D$[3]==1)$ Y$=3^\text{'}$ b $010$; else if $($D$[2]==1)$ Y$=3^\text{'}$ b $011$; else if $($D$[1]==1)$ Y$=3^\text{'}$ b $001$; else if $($D$[0]==1)$ Y$=3^\text{'}$ b $000$; else Y$=3^\text{'}$b $10$ X $]2\mathrm{.}1$ Fill in the truth table, using as many lines as you require $(7$ pts$)$ Use x or $?$ for don't care input values$\mathrm{.}2\mathrm{.}2$ Generate Boolean logic for each of the three output bits. $(18$ pts$)$

Y$[2]=$

Y$[1]=$

Y$[0]=$