DISCRETE MATH

DISCRETE MATH

DISCRETE MATH

DISCRETE MATH

DISCRETE MATH

PLEASE ANSWER THE FOLLOWING

Question 5 8 pts Spell out your first name and your last name. Let m be the number of characters in your first name and n be the number of characters in your last name. Suppose a Boolean function is described as follows: X y Z F(x,y,z) where a=1 if m and n are both even, a otherwise a=0 0 b b=1 if m is even or n is odd, otherwise b=0 c=1 if m is odd or n is even, O C otherwise c=0 d=1 if m and n are both odd, O O otherwise d=0 O P O O O O 0 0 O 0 a) What is the disjunctive normal form for F(x,y,z)? b) What is the conjunctive normal form for F(x,y,z)? c) Use part a to describe F(x,y,1) and then find its dual