Exploring the Number System

What is the base of the decimal number system?

• 8

• 16

• 10

• 2

Convert the binary number 1010 to decimal.

• 10

• 11

• 1011

• 1000

What is the hexadecimal equivalent of the decimal number 255?

• FF

• F0

• F1

• FE

Define a rational number and give an example.

• 3/4

• 5

• 1/2

• -3/4

What is the difference between a prime number and a composite number?

• Prime numbers have exactly two distinct positive divisors; composite numbers have more than two.

• Prime numbers have more than two distinct positive divisors; composite numbers have exactly two.

• Prime numbers are always even; composite numbers are always odd.

• Prime numbers can be divided by any number; composite numbers cannot.

Convert the decimal number 45 to binary.

• 110101

• 101010

• 101101

• 100111

What is the value of the digit 7 in the number 7,482 in the decimal system?

• 700

• 7000

• 70

• 7,000

Explain what an irrational number is and provide an example.

• The number 5

• The number pi divided by 2

• The square root of 2

• The fraction 1/2

How many bits are in a byte?

• 16

• 32

• 4

• 8

What is the binary representation of the decimal number 13?

• 1001

• 1110

• 1010

• 1101