Chapter 4: Q5RE (page 307)
Convert to octal and hexadecimal representations.
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Prove or Disprove that there are three consecutive odd positive integers that are primes, that is odd primes of the form , and .
Convert each of the integers in Exercise 6 from a binary expansion to a hexadecimal expansion.
a) (1111 0111)2
b) (1010 1010 1010)2
c) (111 0111 0111 0111)2
d) (1010 1010 1010 101)2
Give a procedure for converting from the hexadecimal expansion of an integer to its octal expansion using binary notation as an intermediate step.
What is the least common multiple of each pair in Exercise 25?
a)
b)
c)
d)
e)
f) 1111, 0
Show that is an irrational number. Recall that an irrational number is a real number that cannot be written as the ratio of two integers.
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