Simplify the following Boolean function F in sum$-$of$-$products form using a four variable map.

$F(a,b,c,d)=ab{c}^{\text{'}}{d}^{\text{'}}+b{c}^{\text{'}}d+a^{\text{'}}cd+b^{\text{'}}d+ad+a^{\text{'}}{b}^{\text{'}}c{d}^{\text{'}}+b^{\text{'}}c{d}^{\text{'}}$

Fill in the K$-$map.

Note: You can use TAB to move between fields, then use the up$/$down arrows to choose from each

dropdown menu. This is standard for Canvas dropdown questions.

Indicate your K$-$map groups by listing all cells in a group in each group, using the cell number

in binary.

Example $1-$ a group consisting of all the cells in top row should be indicated as: $00000001$

$00100011$

Example $2-$ a group consisting of the four cells in the leftmost column should be indicated as:

$0000010010001100$

group $1=$

group $2$

group $3=$

group $4=$

group $5=$

Write your final SOP Boolean expression.

$F(m,n,p,q)=$