Algebra Know-It-ALL

(Marvins-Underground-K-12) #1

144 Review Questions and Answers


Question 1-7
In the octal numeration system, what follows 7? What follows 47? What follows 77? What
follows 577?

Answer 1-7
In the octal system, 7 is followed by 10, 47 is followed by 50, 77 is followed by 100, and 577
is followed by 600.

Question 1-8
What is the main advantage of the binary numeration system?

Answer 1-8
It has only two states, which can be represented by the on/off states of simple switches. This
makes the binary system ideal for use in electronic systems such as computers.

Question 1-9
In the binary numeration system, what follows 10? What follows 100? What follows 111?
What follows 1101?

Answer 1-9
In the binary system, 10 is followed by 11, 100 is followed by 101, 111 is followed by 1000,
and 1101 is followed by 1110. Note that there are no commas in large binary numerals, as
there usually are in large decimal numerals.

Question 1-10
In the hexadecimal numeration system, what follows 10? What follows FF? What follows
999? What follows FFF?

Answer 1-10
In the hexadecimal system, 10 is followed by 11, FF is followed by 100, 999 is followed by
99A, and FFF is followed by 1,000.

Chapter 2

Question 2-1
What’s the difference between a set and an element?

Answer 2-1
A set is a collection of elements. The elements of a set are also called its members. If we want
to call a number or variable x an element of a set X, then we write x∈X. We can also say that
x belongs to X, or that x is in X. If some other number or variable y is not an element of set X,
then we write y∉ X. A set can be an element of another set.
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