Number Systems

Unit 1 

Number Systems, Binary Arithmetic,Fixed-point and Floating point representation of numbers,BCD Codes, Error detecting and correcting codes, Character Representation – ASCII, EBCDIC, Unicode

Number Systems
A Number System is defined as a set of symbols or digits, which are formatted by certain rulesand are bounded by specific operations over them. The total number of digits in a numbersystem is called its BASE or RADIX.
Two types of Number Systems are:

Positional Number System

Non-Positional Number System

NON-POSITIONAL NUMBER SYSTEM
It does not rely on the position of the number, but rather on the symbols to decide
the value of a number. Example Roman number uses symbols as I,V,X,L,C,M etc.
Characteristics:
1. It uses symbols such as I for 1, II for 2.
2. Eachsymbol represent same value regardless of its position in the number.
3. The symbols are simply added to find value of the number
Difficulty:
1. It is difficult to perform arithmetic with such numbers.

POSITIONAL NUMBER SYSTEM
It relies on the position of the number to illustrate its value. According to it, every number
consists of its face value (value associated with the digit) or its place value (value
associated with its weight i.e. position ), which is always a power of its base.
Example: Decimal number.
Characteristics:
1. It uses symbols such as digits.
2. Each symbol represent different value depending of its position in the number.
3. The value of a number is determined by:

1. The digit itself.
2. The position of the digit.
3. The base of the number system.

IMPORTANT LINKS HARE
TYPES OF NUMBER SYSTEMS | CONVERSATION
LINKS
Number Systems | Binary Arithmetic | Fixed-point and Floating point representation of numbers |  BCD Codes | Error detecting and correcting codes | Character Representation – ASCII, EBCDIC, Unicode
ALL LINKS HARE
UNIT 1 ALL LINKS HARE Click me
UNIT 2 ALL LINKS HARE Click me
UNIT 3 ALL LINKS HARE Click me
UNIT 4 ALL LINKS HARE Click me
UNIT 5 ALL LINKS HARE Click me
UNIT 6 ALL LINKS HARE Click me
UNIT 7 ALL LINKS HARE Click me
UNIT 8 ALL LINKS HARE Click me
SYLLABUS

Unit 1

Number Systems | Binary Arithmetic | Fixed-point and Floating point representation of numbers | BCD Codes | Error detecting and correcting codes | Character Representation – ASCII, EBCDIC, Unicode

Unit 2

Boolean Algebra | Boolean Theorems | Boolean Functions and Truth Tables | Canonical and Standard forms of Boolean functions | Simplification of Boolean Functions – Venn Diagram, Karnaugh Maps.

Unit 3

Unit 4

Unit 5 

Sequential logic: Characteristics | Flip-flops | Clocked RS,D type, JK,T type and Master slave Flip-flops | State table | State diagram and state equation | flip-flop excitation table

Unit 6

Sequential Circuit: designing register | serial input serial output (SISO) | Serial input parallel output (SIPO) | Parallel input serial output (PISO) | Parallel input parallel output(PIPO) and shift register | designing Counters-ASYNCHRONOUS and SYNCHRONOUS binary counters | modulo-N Counters and Up Down counters

Unit 7

Memory and I/O Device: memory parameters | semiconductor RAM,ROM |magnetic and optical  storage device | flash memory |  I/O device and their controllers

Unit 8

Instruction design & I/O Organisation: machine instruction |  instruction set selection | instruction cycle | instruction format and addressing mode | I/O interface | interrupt structure | program controlled | interrupt-controlled and DMA transfer | I/O channels | IOP