Consider the following collection: o 1 2 3 4 5 6 789 10 11 12 13 14 15 16 17 18

Question

Consider the following collection: o 1 2 3 4 5 6 789 10 11 12 13 14 15 16 17 18 19 1 Question this be p. Define the bit string that defines the positions the odd numbers in the collection. Let Question Define the bit string that defines the positions of the even numbers in the collection, Let this be q Question Define the bit string that defines the positions of the prime numbers in the collection. Let his be r Question Using p, q, and r, what expression defines all elements of the collection? Question Using p, q, and r, what expression defines all elements that are odd prime numbers? Question Using p, q, and r, what expression defines non-prime even numbers?

Explanation / Answer

p = 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1

q = 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0

r = 0 0 1 1 0 1 0 1 0 0 0 1 0 1 0 0 0 1 0 1

All elements : p AND q AND r

Odd prime numbers : p AND r

Non-prime even numbers : q AND NOT r

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