d$)$ Design a logic circuit with three inputs whose output will be high only when most inputs are high. $F(ABC)=m_1+m_3+m_4+m_6+m_7$

i$.$ Draw the truth table $($TT$)$ for the above expression.

$[4$ marks$]$

ii$.$ Write the SOP expression for the output from the above TT$.$

$[1$ mark$]$

iii. Simplify the output $($SOP$)$ by using Karnaugh Map only.

$[5$ marks$]$

iv$.$ Draw the logic circuit for the final expression.

$[5$ marks$]$