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PROBLEMS
Zybook Sections 1.11-1.13
#1
Let variables T represent being tall, H being heavy, and F being
fast. Let's consider who is not tall as short, not heavy as light, and not
fast as slow. Write a Boolean expression to represent each of the
following:
(a) You may ride a particular amusement park ride only if you are
either tall and light, or short and heavy.
(b) 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.
(c) You are eligible to play on a particular basketball team if you are
tall and fast, or tall and slow. Simplify this equation.
(d) You are NOT eligible to play on a particular football you are
short and slow, or if you are light. Simplify to sum-of-
products form.
(e) You are eligible to play on both the basketball and football teams
above, based on the above criteria. Hint: combine the two
equations into one equation by ANDing them.
#2
Use algebraic manipulation to convert the following equation to
minimal sum-of-products form:
$F = a'b (c + d')+a (b'+c)+a (b + d) c$
#3
For $F = abc + a'b$, use DeMorgan's Law to find the inverse of
the equation and reduce to sum-of-products form.
Hint: Start with $F' = (abc + a'b)'$
