# Binary Numeral System

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‫‪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.
Lectured Two: Binary arithmetic
2- Binary Subtraction.
3- 1 's and 2 's Complement of Binary Number.
6- Gray Code.
7- Access3 code.
Lectured Three: Logic Gats
1- Set of Gats AND, OR, NOT, XOR, NOR, NAND, BUFFER.
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.
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

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