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
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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
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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
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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
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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
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Binary Number System: Conversion of Decimal number to Binary number: Set up the problem. For this example‚ let’s convert the decimal number 15610 to binary. Write the decimal number as the dividend inside an upside-down "long division" symbol. Write the base of the destination system (in our case‚ "2" for binary) as the divisor outside the curve of the division symbol. Write the integer answer (quotient) under the long division symbol‚ and write the remainder (0 or 1) to the right of the
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The modern binary number system‚ the basis for binary code‚ was discovered by Gottfried Leibniz in 1679 and appears in his article Explication de l’Arithmétique Binaire. The full title is translated into English as the "Explanation of the binary arithmetic"‚ which uses only the characters 1 and 0‚ with some remarks on its usefulness‚ and on the light it throws on the ancient Chinese figures of Fu Xi."[1] (1703). Leibniz’s system uses 0 and 1‚ like the modern binary numeral system. Leibniz encountered
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1.3 digital data located on a PDAs being represented in binary system? 1.3.1 Storing number Refer to Catherine‚ (2015) Binary describes a numbering scheme in which there are only two possible values for each digit: 0 and 1. The term also refers to any digital encoding/decoding system in which there are exactly two possible states. In digital data memory‚ storage‚ processing‚ and communications‚ the 0 and 1 values are sometimes called "low" and "high‚" respectively. In digital circuits there is no
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The binary numeral system‚ or base-2 number system‚ represents numeric values using two symbols‚ 0 and 1. More specifically‚ the usual base-2 system is a positional notation with a radix of 2. Because of its straightforward implementation in digital electronic circuitry using logic gates‚ the binary system is used internally by almost all modern computers. Why Computers Use Binary Binary numbers – seen as strings of 0’s and 1’s – are often associated with computers. But why is this? Why
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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
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