5.2 Numbering systems

Question 1

the most common numbering systems are

Answer 1

Decimal - base10
Binary - base2
Octal - base8
Hexadecimal - base16

Question 2

decimal (base10) number system has its origin

Answer 2

from counting on the fingers

digit comes from the latin word digitus meaning finger

Question 3

base is the number of different digits including zero in the number system e.g.

Answer 3

octal or base8 = 0 to 7
hexadecimal or base16 = 0 to F

Question 4

the value of the largest digit of a numbering system is one less than the base

Answer 4

. the value of the smallest digit in the number system is zero

Question 5

the standard shorthand from of writing numbers is known as the positional notation

Answer 5

.

Question 6

the most common numbering system used in everyday life

Answer 6

decimal. the digit at the far right is called the least significant digit (LSD) and the digit at the far left is the most significant digit (MSD)

Question 7

octal system is a shorthand method of

Answer 7

representing three- bit binary words

Question 8

binary coded decimal

Answer 8

.