6A Flashcards
(81 cards)
Although any numbering system is possible, ____ are used in electronics and subsequently computers.
two
Binary has a base of ____.
two
Hexadecimal has a base of _____.
sixteen
Why do computers use the binary numbering system?
Because, the digits, 1 and 0, represent a logic situation of
yes/no, or true/false as well as the electronic state of on/off
The modern binary system was devised by who?
Gottfried Leibniz
The modern binary system was devised in what year?
1689
Gottfried Leibniz based his system on
that of the ____ and _____.
Chinese and early Egyptians
Decimal symbols, the numbers 0 through 9 that we use today, are referred to as _________, because the Europeans adopted them from the Arabic form of writing.
Arabic numerals
What is the RADIX?
The RADIX is written as a subscript to a number
The radix is also referred to as the _____ of the number system.
BASE
What does LSD stand for when talking about parts of a number?
Least Significant Digit
What does MSD stand for when talking about parts of a number?
Most Significant Digit
What is the LSD?
The digit that carries the least weight (value) is known as the least significant digit (LSD).
In this course, the LSD can safely be assumed to be on the extreme ____ of the number.
Right
What is the MSD?
The most significant digit (MSD) is the digit that carries the most weight
It is the digit to the extreme ____ of a number.
Left
Although zero has no numerical value, it serves the very important function as a _______ in mathematics.
place holder
The decimal system uses digits _ through _ with _ as the base or radix.
0 through 9
10 as the base or radix
In the binary system, ONLY a _ and a _ can occur.
0 and a 1
The binary system uses the digits 0 and 1, therefore __ is the radix or base subscript that the binary number system uses.
2
A binary string of ____ binary digits, or bits, can represent any of ___ possible values and can correspond to a variety of different symbols, letters or instructions.
8 binary digits
256 possible values
Binary is the method that computers use to “think” but that is very hard for humans to read, so programmers created a special code for talking to computers. It’s called ______________.
hexadecimal code
The hexadecimal number system uses the first ___ Arabic symbols followed by ____ alpha characters to write all numbers.
Ten arabic symbols (0-9)
Six alpha characters (A-F)
Since sixteen different symbols are used, the radix or base is ____.
16