A B C

$000$

$010$

$100$

$111$

$001$

$011$

$100$

$111$

to

complete this problem, start by looking at the truth table and focus on the rows where the output is

$$

$1$

$$

$.$

$$For each of these rows, you will need to write the corresponding minterm. A minterm is a product of the variables A

$,$

$$B

$,$

$$and C

$,$

$$where you use the variable directly if it is

$$

$1$

$$

$,$

$$and use its complement

$($

denoted with an apostrophe, like A

$\text{'}$

$)$

$$if it is

$$

$0$

$$

$.$

Once you have written the minterms for all rows with output

$$

$1$

$$

$,$

$$combine them using a logical OR

$($

addition

$)$

$$to create the Sum of Products

$($

SOP

$)$form$.$ this SOP expression will be your final answer

Constructing a Truth Table

What is the sum of product forms for this truth table?$$form