How Computer Represent Data

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Presentation transcript:

How Computer Represent Data Number system Manner of Counting Several different number systems exist To Computer everything is a number Alphabets, numbers, punctuation marks, sound, pictures, computer instructions For example “Here are some words.”

Decimal Numbers Used by humans to count Latin word deci mean 10 Also called Base 10 Have 10 distinct digits 0 1 2 3 4 5 6 7 8 9 10 is a two-digit number Digits combine to make larger numbers

Binary Number System Switch has two states Off represents 0, On is 1 Latin bi means 2 Used by computers to count Two distinct digits, 0 and 1 0 and 1 combine to make numbers represent a quantity >1 it uses two (or more) digits Pattern repeats indefinitely

Data Representation A computer circuit represents the 0 or the 1 electronically by the presence or absence of an electrical charge

Number Conversion Decimal to Binary and Binary to Decimal Decimal to Octal and Octal to Decimal Decimal to Hexadecimal and Hexadecimal to Decimal Binary to Hexadecimal Octal to Hexadecimal Hexadecimal to Binary and Octal

Decimal To Binary 1

Decimal To Binary (151)10 = (10010111)2 (113)10 = 11100012

Binary to Decimal

Binary to Decimal

Binary to Decimal 111001111012 = 185310 110110102 = 21810

Exercise Decimal to Binary

Decimal to Octal 432110 = 103418

Octal to Decimal

Octal to Decimal

Exercise Decimal to Octal

Octal to Decimal/Decimal to Octal 7438 = 48310 265258 = 1160510 185310 = 34758

Binary to Hexadecimal

Hexadecimal to Binary

Hexadecimal to Decimal

Decimal to Hexadecimal

Decimal to Hexadecimal

Binary to Hexadecimal

Hexadecimal to Binary and Octal

Octal to Hexadecimal

Binary to Hexadecimal (10110101010101)2 (1100010010)2

Octal to Hexadecimal (344)8 (1422)8

Complement of a Number

Complement of a Decimal Number

Complement of a Octal Number

Complement of a Binary Number

Logic Gates

AND Gate: Block Diagram and Truth Table

OR Gate: Block Diagram and Truth Table

NOT Gate: Block Diagram and Truth Table

NAND Gate: Block Diagram and Truth Table

NOR Gate: Block Diagram and Truth Table

XOR Gate: Block Diagram and Truth Table

Number System - Assignment Decimal Binary Octal Hexadecimal (786)10 (555)10 (228)10 (10110011)2 (111100011)2 (111110101100)2 (10341)8 (3475)8 (22466)8 (2D55)16 (BEEF)16