4. [6 marks] The Boolean operator NOR () is functionally complete. This means that you can write a Boolean expression using one or more NOR operators that produces the same truth

table as each of the logical operators AND, OR, and NOT. For each of these three operators( v. write a Boolean expression that is equivalent using only the operator. In each case, prove that your expressions are equivalent using Boolean algebra. Submit the file a1q4.pdf.