For the function F = a\'d\' + a\'c + b\'cd\' + cd: List all the variables. List
ID: 3664698 • Letter: F
Question
For the function F = a'd' + a'c + b'cd' + cd: List all the variables. List all the literals. List all the product terms. Let variables T represent being tall, H being heavy, and F being fast. Let's consider anyone who is not tall as short, not heavy as light, and not fast as slow. Write a Boolean equation to represent the following: You may ride a particular amusement park ride only if you are either tall and light, or short and heavy. You may NOT ride an amusement park ride if you are either tall and light, or short and heavy. Use algebra to simplify the equation to sum of products. You are eligible to play on a particular basketball team if you are tall and fast, or tall and slow. Simplify this equation. You are NOT eligible to play on a particular football team if you are short and slow, or if you are light. Simplify to sum of products form. You are eligible to play on both the basketball and football teams above, based on the above criteria.Explanation / Answer
Answer Q8
Function F =a’d’+a’c+b’cd+cd is in the form of Sum of Product Terms in which four terms are used .
We know Product terms are also reffered as MinTerms which contains variables whose values can be either 0 or 1. If a variable is represented as a then it is considered as 1 and if it is represented as a' then is considered as 0.
Literals are the variables used in terms of boolean expression of the function. In above function F there are four terms are used and each term containing some of the variable either with over bar(a') or without over bar (like a)
a) There are four variable used in above given function i.e. a,b,c,d
b) There are five literal in given function these are a’,d’, c, b’,d used in each terms like a' and d' in first term, a' and c in second term, b' and c and d' in third term, c and d in fourth term
c) There are four product terms used in above function of SOP i.e. (a’d’),(a’c),(b’cd’) and (cd)