Question

simplify the following bollean expression to a minimum number of literals. (where not x is given by x') f = a'c' a'bc b'c

Answer 1

We can start simplifying the boolean expression by using the absorption law, which states that a variable ANDed with its complement is equivalent to 0.

Using this law, we know that a'bc + a'c' = a'c'.

So, f = a'c' + b'c.

Next, we can use the distributive law, which states that a variable ORed with the product of two other variables is equivalent to the sum of the variable ORed with each of the individual variables.

Using this law, we can simplify f further:

f = a'c' + b'c
= a'c' + b'cc'
= a'c' + b'c(c'+c)
= a'c' + b'cc' + b'c
= a'c' + 0 + b'c
= a'c' + b'c

This is the minimum form of the boolean expression, with only two literals.