Chapter 1 Flashcards
What is the Denary Number System?
A system that uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
Also known as the ‘base 10’ system.
What is the Binary Number System?
A system that only uses two digits: 1 and 0.
Also known as the ‘base 2’ system.
What is Ones’ Complement?
Represents positive numbers.
128 64 32 16 8 4 2 1
What is Two’s Complement?
Represents negative numbers.
-128 64 32 16 8 4 2 1
What is Overflow?
The number produced in the previous example is outside the range of values which can be represented by the 8 bits ➔ This causes overflow.
For -128 64 32 16 8 4 2 1: +127 is the largest value
For 128 64 32 16 8 4 2 1: +256 is the largest value
Binary Subtraction Steps:
For example: 93 - 66
We have a positive number, 93, and a negative number, -66:
1. Convert the two numbers into binary (93 and 66)
2. Find the two’s complement of 66
3. Add the two binary numbers
What is the Hexadecimal Number System?
A number system that uses 16 digits:
0 1 2 3 4 5 6 7 8 9 A B C D E F
Also known as the ‘base 16’ system.
Split it into groups of 4 bits (starting for right to left) and then find the equivalent hex digits
When is the Hexadecimal System used and why?
- When developing new software
- When trying to trace errors in programs
- Memory dump (the contents of a computer memory output to screen or printer)
Because it is easier to work with hex than it is to work with binary.
What is the Binary-Coded Decimal (BCD) System?
A system that uses a 4-bit code to represent each denary digit (0-9).
Stored either as:
◦Half a byte
◦Two codes stored together to form one byte
When is the BCD System used?
To represent decimal/monetary values accurately.
For example on a: calculator, digital clock.
What are ASCII Codes?
To represent text, a character set is required.
ASCII (American Standard Code for Information Interchange) is a system code representing letters, numbers, characters and control codes.
Standard ASCII character set consists of 7-bitcodes:
2^7 = 128 different characters (0 to 127 denary)
What are Extended ASCII Codes?
Extended ASCII consists of 8-bit codes.
2^8 = 256 different characters (0 to 255 denary).
128 - 255 denary are non-English and drawing characters.
Use of 1 byte per character.
What is Unicode?
Allows characters of all the languages of the world; supporting many OS, search engines and internet browsers used globally.
First 128 characters the same as ASCII.
Use of up to 4 bytes per character.
How can images be stored either as?
Bit-map image or Vector image
What is a bit-map image?
Image that is made up of a two-dimensional matrix of pixels (picture elements).
What is image resolution?
The number of pixels that make up an image.
E.g.: 4096x3192=12738656 pixels
What is bit depth?
The number of bits used to represent a pixel (the colour).
E.g.: 8 bits
What is colour depth?
The number of possible colours which can be represented.
E.g.: 2^8 = 256 colours
What is screen resolution?
The number of horizontal pixels and the number of vertical pixels that make up a screen display.