Binary Numeral System

Powerful Essays
‫‪Save from: www.uotechnology.edu.iq/dep-cs‬‬

‫‪1stclass‬‬
‫‪Logic Design‬‬
‫تركيب الحاسبت والتصوين الونطقي‬

‫الركاء األصطناعي - أهنيت البياناث‬
‫استاذة الواده: م.هيساء عبدعلي خضر‬

2012\2011

‫ﻣﻴﺴﺎء ﻋﺒﺪ ﻋﻠﻲ ﺧﻀﺮاﻟﺪﺑﺎس‬

‫اﻟﺠﺎﻣﻌﺔ اﻟﺘﻜﻨﻮﻟﻮﺟﻴﺔ/ﻗﺴﻢ ﻋﻠﻮم اﻟﺤﺎﺳﻮب‬

Contents
Lectured One: Number system operation
1- Decimal numbers.
2- Binary numbers.
3- Octal numbers.
4- Hexadecimal numbers.
Lectured Two: Binary arithmetic
1- Binary Addition.
2- Binary Subtraction.
3- 1 's and 2 's Complement of Binary Number.
4- Hexadecimal Addition &Subtraction.
5- Octal Addition &Subtraction.
6- Gray Code.
7- Access3 code.
Lectured Three: Logic Gats
1- Set of Gats AND, OR, NOT, XOR, NOR, NAND, BUFFER.
2- HALF-ADDER.
3- FULL- ADDER.
Lectured Four: Boolean Algebra &Logic Simplification
1- Rules of Boolean algebra.
2- Examples
3- Demorgan 's theorems.
4- Example.
5- Sun of Product (SOP).
6- Product of Sum (POS).
Lectured Five: Karnaugh map
1- Three – variable karnaugh map.
2- Four – variable karnaugh map.
Lectured Six: Combinational Logic
1- The NAND Gate as a Universal Logic Element.
2- The NOR Gate as a Universal Logic Element.
3- Bit Parallel Adder.
4- Example.
2

2012\2011

‫ﻣﻴﺴﺎء ﻋﺒﺪ ﻋﻠﻲ ﺧﻀﺮاﻟﺪﺑﺎس‬

‫اﻟﺠﺎﻣﻌﺔ اﻟﺘﻜﻨﻮﻟﻮﺟﻴﺔ/ﻗﺴﻢ ﻋﻠﻮم اﻟﺤﺎﺳﻮب‬

Lectured Seven:
1- Decoders.
2-Encoders.
3- Multiplexers.
4- Demultiplexers
Lectured Eight: Flip-Flop
1- SR Flip-Flops.
2- D Flip-Flops.
3- JK Flip-Flops.
Lectured Nine: Shift Register
1- Serial in \ Serial out shift Register
Lectured Ten: Binary Counter
1- Asynchronous Binary Counter.
2- Synchronous Binary Counter.

References
1- Computer System Architecture Third Edition
M. Morris Mano
2- Digital Fundamentals Eight Edition
FLOYD
3- Digital Fundamentals Ninth Edition
FLOYD
4-Fundamentals of Digital Logic and
Microcomputer Design Fifth edition
M.RAFIQZZAMAN
3

2012\2011

‫ﻣﻴﺴﺎء ﻋﺒﺪ ﻋﻠﻲ ﺧﻀﺮاﻟﺪﺑﺎس‬

‫اﻟﺠﺎﻣﻌﺔ اﻟﺘﻜﻨﻮﻟﻮﺟﻴﺔ/ﻗﺴﻢ ﻋﻠﻮم اﻟﺤﺎﺳﻮب‬

First course



References: (0.6875)10

You May Also Find These Documents Helpful

  • Powerful Essays

    Numeral System

    • 2502 Words
    • 11 Pages

    A numeral system (or system of numeration) is a writing system for expressing numbers, that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. It can be seen as the context that allows the symbols "11" to be interpreted as the binary symbol for three, the decimal symbol for eleven, or a symbol for other numbers in different bases. Ideally, a numeral system will: * Represent a useful set of numbers (e.g. all integers, or…

    • 2502 Words
    • 11 Pages
    Powerful Essays
  • Good Essays

    Dean UNIT1: NUMBER SYSTEMS & CODES • Philosophy of number systems • Complement representation of negative numbers • Binary arithmetic • Binary codes • Error detecting & error correcting codes • Hamming codes Switching Theory and Logic Design HISTORY OF THE NUMERAL SYSTEMS: A numeral system (or system of numeration) is a linguistic system and mathematical notation for representing numbers of a given set by symbols in a consistent manner. For example, It allows the numeral "11" to be interpreted…

    • 3756 Words
    • 16 Pages
    Good Essays
  • Good Essays

    Numerals

    • 1169 Words
    • 5 Pages

    A numeral is a word class (part of speech) designating numbers or related to specifying quantities and any other countable divisions. All numerals are divided into cardinal numbers and ordinal numbers. Cardinal numbers indicate number, quantity or amount and are used in counting. 0 | Zero (nought) | 10 | Ten | | | 1 | One | 11 | Eleven | | | 2 | Two | 12 | Tvelve | 20 | Twenty | 3 | Three | 13 | Thirteen | 30 | Thirty | 4 | Four | 14 | Fourteen | 40 | Forty (no "u") | 5 | Five |…

    • 1169 Words
    • 5 Pages
    Good Essays
  • Powerful Essays

    Binary System Of Gender

    • 2362 Words
    • 10 Pages

    Soto
Perelló

 1
 Eva Soto Perelló Professor Donna Singleton English Comp. 15 April 2010 Why There Is No Need For a
Binary
System
of
Gender

 Every
human
being
is,
from
birth,
placed
in
different
categories
depending
on
the
 social
conditions.
Society’s
assumptions
about
gender,
race,
creed
and
culture
are
 used
to
define
one’s
identity,
ignoring
individuality.
The
factors
that
have
the
 greatest
impact
on
one’s
lifestyle,
such
as
gender,
are
those
that
are
supposedly
 predetermined
by
nature
and
not
chosen…

    • 2362 Words
    • 10 Pages
    Powerful Essays
  • Satisfactory Essays

    Binary and Hexadecimal Numbering Systems Video Notes Utilize other resources as you can Khan Academy is excellent resource Base 10 (Decimal or normal math) 0 represents nothing 1=1 2=2 3=3 4=4 5=5 6=6 7=7 8=8 9=9 10=10 Reuses symbols after 10 #’s Base 2 (Binary) 0 or 1 (only two digits to represent everything, uses 20,1,2,3,4,etc.) 10=2 (one 2 and 0 ones) 1010=10 (0 ones, 1 two, 0 fours and 1 eight) 11=3 (one 1 and one 2) 100=4 ( one 4, 0 twos, and 0 ones) 101=5 (one 4 and…

    • 284 Words
    • 2 Pages
    Satisfactory Essays
  • Good Essays

    Binary Code

    • 627 Words
    • 3 Pages

    William Smith Com 202 6 July 2008 Binary Code The first known occurrence of the binary numeral system is around the 8th century BC. It was created by the ancient Indian writer Pingala. He came across this as a method to describe prosody. This type of numeration system is a descendant of the Old Kingdom’s Eye of the Horus. A full set of eight trigrams and sixty four hexagrams, which are analog to the three bit and six bit binary numerals, are known to the ancient Chinese as I Ching…

    • 627 Words
    • 3 Pages
    Good Essays
  • Satisfactory Essays

    Binary Compounds

    • 470 Words
    • 2 Pages

    BINARY COMPOUNDS -Compose of two kinds of atom Polyatomic Ion | Name | OH-1 | hydroxide | SO4-2 | sulfate | PO4-3 | phosphate | NO3-1 | nitrate | CO3-2 | carbonate | HCO3-1 | hydrogen carbonate or bicarbonate | ClO3-1 | chlorate | NH4+1 | ammonium | TWO NON-METALS - Give the name of the positive ion followed by the negative ion ending with -ide -Greek prefixes are used CO-carbon monoxide CO2-carbon dioxide NO-nitrogen…

    • 470 Words
    • 2 Pages
    Satisfactory Essays
  • Better Essays

    INTRODUCTION The Babylonians used a sexagesimal (base 60) numeral system to make astronomical calculations, from which the use of 60 seconds in a minute and 60 minutes in an hour is derived. I will research how the Babylonians used this system to measure time. I have chosen the topic Babylonian time system as it relates history and math. I find it fascinating how in the past, people had to come up with elaborate theories and intricate systems from scratch, as compared to how modern day mathematicians…

    • 1255 Words
    • 6 Pages
    Better Essays
  • Good Essays

    Binary Opposition

    • 415 Words
    • 2 Pages

    5. Binary Opposition Definition: A binary opposition is a pair of related terms or concepts that are opposite in meaning. It is an anthropological term proposed by Claude Levi-Strauss, one of the key figures of structuralism. Levi-Strauss borrowed concept from linguist de Saussure and Roman Jakobson that culture is like the language system, and the language system is about differences, and is composed of pairs of oppositions. Therefore Levi-Strauss held that cultures are structured, and are…

    • 415 Words
    • 2 Pages
    Good Essays
  • Powerful Essays

    Binary Tree

    • 4816 Words
    • 20 Pages

    Binary Trees Page: 1 Binary Trees by Nick Parlante This article introduces the basic concepts of binary trees, and then works through a series of practice problems with solution code in C/C++ and Java. Binary trees have an elegant recursive pointer structure, so they are a good way to learn recursive pointer algorithms. Contents Section 1. Binary Tree Structure -- a quick introduction to binary trees and the code that operates on them Section 2. Binary Tree Problems -- practice problems…

    • 4816 Words
    • 20 Pages
    Powerful Essays