Problem Set #$1$: Truth Tables and Boolean Equations

Derive a truth table and sum$-$of$-$products representation for a function:

Inputs: consist of $3$ values $$ A$,$ B$,$ C $$ that may be either True or False

Output: a single value $$ X $$ that is True when two and only two adjacent inputs are true

Please produce the following:

A truth table $($ASCII format$)$ for this function

A Sum$-$of$-$Products representation for this function. In your Sum$-$of$-$products representation, please use the following C$++$ conventions for describing boolean operations:

$!$A $=$ NOT $($A$)$

A && B $=$ A AND B

A $||$ B $=$ A OR B

Deliverables

A single $.$pdf file containing your responses. Please be sure your name, date, course number are present in the PDF$.$

Only a single PDF file will be accepted. A straightforward solution is to use Google Docs and then download a PDF$.$

Please avoid submitting a photograph of a handwritten solution due to room for errors resulting from handwriting or other errors.

Grading

This assignment is worth $20$ points divided evenly across the two problems: the truth table and the corresponding logic equation.