#NumberSystems

[sunbeaminfo]

Number System Convertion :- Shortcut methods to convert Binary, Octal and Hexadecimal Number System

1) To convert Binary to Octal we need to make binary numbers in group of Three (3) bits starting from LSB, and convert that binary groups to its equivalent. 2) To convert Binary to Hexadecimal we need to make binary numbers in group of Four (4) bits starting from LSB, and convert that binary groups to its equivalent. 3) To convert Octal to binary write binary equivalent of each octal number using Three (3) bits. 4) To convert Hexadecimal to binary write binary equivalent of each Hexadecimal number using Four (4) bits.

[vangold]

Day 1 - Locked In - Timelapse

Now after one night of Rendering (and way too less sleep *cough* gods praise the coffee e__e) here's now finally also the drawing video of the first day of Inktober. I still have some issues angling the cam properly with the new house's setting. However I appreciate to finally have a desk where it doesn't look like we're suffering through an earthquake everytime I erase something XD

Btw as a sucker for alternative numbersystems I decided to try one out this year I didn't use for Inktober yet. Lexie recommended me the Cistercian numbers. Deffo a nice alternative to the Roman ones I now had way too often these last few years :P

[cattutorialsblogs]

STRUCTURE OF CAT EXAM

The Common Admission Test (CAT) is a online-primarily based examination that is conducted annually with the aid of the Indian Institutes of Management (IIMs) for admission into control programs provided by pinnacle business colleges in India. The CAT examination is designed to test a candidate's aptitude, hassle-fixing skills, and logical reasoning competencies which you can prepare with the best CAT Best Online Coaching. In this text, we will talk the shape of the CAT examination in detail.

The CAT exam is divided into three sections:

Verbal Ability and Reading Comprehension (VARC)

Data Interpretation and Logical Reasoning (DILR)

Quantitative Ability (QA)

The exam is conducted in English, and applicants are given a hundred and twenty mins (40min each segment) to finish the check. The general wide variety of questions in the CAT exam varies each yr, and the exam is carried out in three periods.

Section 1: Verbal Ability and Reading Comprehension (VARC) 

The VARC phase consists of 24 questions which might be divided into two parts: Reading Comprehension and Verbal Ability. The Reading Comprehension part consists of passages that are followed by way of a hard and fast of questions. The Verbal Ability element consists of questions on para-jumbles, sentence correction, vocabulary, and grammar.

Section 2: Data Interpretation and Logical Reasoning (DILR) 

The DILR segment includes  20 questions which are divided into  parts: Data Interpretation and Logical Reasoning. The Data Interpretation part consists of questions about graphs, charts, tables, and diagrams. The Logical Reasoning part includes questions about puzzles, seating arrangements, blood relations, and other comparable subjects.

Section 3: Quantitative Ability (QA) 

The QA phase consists of 22 questions that cover topics which include mathematics, algebra, geometry, numbersystem opportunity, and records. The questions in this section require applicants to apply mathematical ideas and follow them to resolve troubles.

Marking Scheme: 

Each query inside the CAT examination incorporates three marks, and there is bad marking for incorrect solutions. For each wrong answer, one mark is deducted, and there may be no terrible marking for questions that aren't attempted. The CAT exam does not have a sectional time restriction, and applicants can move back and forth between the sections.

Scoring and Percentile: 

The CAT examination is a high-stakes exam, and the rating acquired through candidates is used by pinnacle business faculties to shortlist candidates for his or her control programs. The rating obtained by means of a candidate is transformed into a percentile score, which is used to rank applicants towards each different. The percentile rating is calculated primarily based at the quantity of applicants who appeared for the examination, and the performance of the candidate in each section. Let's start your CAT exam preparation to get 99%itle with Best CAT Online Coaching.

Preparation Strategy: 

Preparing for the CAT examination requires a based approach and a clean knowledge of the exam sample and syllabus. Candidates are cautioned to start their training well earlier and to awareness on building a robust foundation within the simple principles of arithmetic, English, and logical reasoning. Candidates can discuss with diverse examine substances, on-line guides, and education facilities to useful resource their guidance.

Mock Tests: 

Mock exams are an critical a part of CAT exam practise as they assist applicants to get a sense of the real exam and to identify their strengths and weaknesses. Candidates are recommended to take as many mock checks as possible and to analyze their performance to enhance their ratings.

Tips for Success: 

To succeed inside the CAT exam, applicants need to have a strong conceptual knowledge of the subjects protected inside the exam. Candidates are advised to practice often, manage their time effectively, and remain calm and composed at some point of the exam.

In end, the CAT examination is a fantastically competitive exam that assessments a candidate's flair, trouble-fixing competencies, and logical reasoning abilties.

[learningpoweracademy]

Welcome to our comprehensive discussion on the Number System and Prime Numbers, tailored specifically for CTET Maths Paper 1 preparation. In this detailed session, we delve deep into the fundamental concepts of number theory, exploring the intricacies of prime numbers and their significance within the context of the CTET exam.

ctetmaths #numbersystem #ctet2024

[pratapmukku]

Difference between Decimal Number System and Binary Number System | Numb...

[projectcubicle1]

Introduction to one’s complement: Definition, working, and conversions

Introduction to one’s complement: Definition, working, and conversions

In the number system, one’s complement is used to represent the negative number in 0 & 1 integers. The one’s complement is the transpose of the binary numbers. Each number system like decimal, hexadecimal, binary, etc. can be converted into one’s complement. In the post, we will learn the definition, working, and conversions of various number systems. And we will also suggest you a one's complement calculator to ease the process.

What is one’s complement?

According to Wikipedia: This is a system of numbers in which negative numbers are represented by the transpose of the binary number representation of their equivalent positive numbers. In this number system, a number can be converted from positive to negative or negative to positive by calculating its one’s complement. This is, all the zero values of binary numbers should be converted into one and all the ones into zeros. Working of one’s complement Follow the below steps to convert any number system. First of all, convert the number systems into decimal or base 10 number systems. - Then convert the decimal number into a binary number system or base 2 number system. - After getting the result of a binary number, invert zeros into ones and ones into zeros. - In the case of a negative decimal number, convert the number into a binary number according to the positive number then invert the symbols to take the binary number of a decimal number. - Then take the transpose of the negative binary number. You can convert ASCII, hexadecimal numbers, decimal numbers, and binary numbers into one’s complement by following the above-mentioned steps.

How to convert binary, decimal, and hex numbers?

Let us discuss how to convert the decimal, binary, and hexadecimal numbers briefly. Binary to one’s complement A binary number system is a base two number system in which 0 & 1 numerals are involved. Binary numbers can be represented in one’s complement. You have to follow the below steps to convert the binary number into one’s complement. - Take the binary number. - Invert the numerals of the binary numbers. - The inverted value will be one’s complement of the binary number. Example Convert 11100101 into one’s complement. Solution Step 1: Take the given base two number. 11100101 Step 2: Now invert the numerals of the base 2 number. 1 1 1 0 0 1 0 1 0 0 0 1 1 0 1 0 Hence, 00011010 is the one’s complement of the given base 2 number. Decimal to one’s complement The decimal number system is a base 10 number system in which 0 to 9 numerals are involved. The decimal number system can be represented as one’s complement. Follow the below steps to convert a decimal number into one’s complement. - Take the positive or negative base 10 number. - Convert the decimal number into a binary number. - Invert the numerals of the binary numbers. - The inverted value will be one’s complement of the positive binary number. - In the case of a negative base 10 number, convert it into the binary number according to the positive decimal number then invert the numerals to take the binary number of a decimal number. - Then take the transpose of the negative binary number. - The result will be the one’s complement of the base 10 number system. Example 1: For a positive base 10 number Convert 123 into one’s complement. Solution Step 1: First of all, convert the given base 10 number into base 2 number system. 2 123 2 61 – 1 2 30 – 1 2 15 – 0 2 7 – 1 2 3 – 1 1 – 1   Hence, 1111011 is a base 2 number of 123. Step 2: Now invert the numerals of the binary number to get the one’s complement. 1 1 1 1 0 1 1 0 0 0 0 1 0 0 Hence, 0000100 is one’s complement of 123. You can also use a one’s complement calculator to convert the number systems into one’s complement. Follow the below steps to use this tool. Step-1: Select the number system.

Step 2: Select the bits.

Step-3: Input the given number.

Step 4: Hit the calculate button to get the result.

Step 5: Press the show more button to view the solution with steps.

  Example 2: For a negative base 10 number Convert -133 into one’s complement. Solution Step 1: First of all, convert the given corresponding positive decimal number into base 2 number system. 2 133 2 66 – 1 2 33 – 0 2 16 – 1 2 8 – 0 2 4 – 0 2 2 – 0 1 – 0   Hence, 10000101 is a base 2 number of 133. Step 2: Now invert the numerals of the binary number to get the binary number of -133. 1 0 0 0 0 1 0 1 0 1 1 1 1 0 1 0 Hence, 01111010 is binary number of -133. Step 3: Take the transpose of a negative binary number. 0 1 1 1 1 0 1 0 1 0 0 0 0 1 0 1 Hence, 10000101 is one’s complement of -133. Hexadecimal to one’s complement The hexadecimal number system is a base 16 number system in which 0 to 15 numerals are involved. The base 16 number can be represented in one’s complement. Follow the below steps to convert hex to one’s complement. - Convert the given base 16 number into a decimal number system. - Convert the base 10 number into a binary number. - Invert the numerals of the base 2 number. - The inverted value will be one’s complement of the binary number. Example Convert 125 into one’s complement. Solution Step 1: First of all, convert the given base 16 number into a decimal number. 293 is the decimal number of 125. Step 2: Convert 293 into binary number. 2 293 2 146 – 1 2 73 – 0 2 36 – 1 2 18 – 0 2 9 – 0 2 4 – 1 2 2 – 0 1 – 0 Hence, 100100101 is a binary number of 293. Step 3: Now invert the numerals of the base 2 number. 1 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 1 0 Hence, 011011010 is one’s complement of the given base 16 number. Summary: Try One's Complement Calculator   Now you are witnessed that the conversion of any number system into one’s complement is not difficult. You can easily convert the base 2, base 10, and base 16 number system just by learning the above post and using a one's complement calculator too. Read the full article

[meatcumputer]

[philearning]

Fundamentals of Digital Circuits - An excellent introduction to digital concepts and basic design techniques of digital circuit Pedagogical Features · Several fully worked-out examples · Short questions with answers at the end of each chapter · Fill in the blanks and objective type questions with answers · Chapter-end review questions and problems Buy Now: https://bit.ly/2Z0xZhD #DigitalCircuits #BooleanAlgebra #NumberSystems #BinaryCodes #DisplayDevices #Algorithm https://www.instagram.com/p/CCRGqTeHY7c/?igshid=mlh9vdswezh4

[deepakmathematics]

#numbersystems #sscchsl #ssccgl #shorttricks #numbersystems #numbers #deepak_maths #puzzles #numbersystems #logicalmaths #quantitativeaptitudequiz #study #mathstudent #solving #short_method #shorttricks #mathtrick #solvingmathproblems #mathproblems #sscmtsexam #math #mathematics #rrbgroupd #rrbntpc #puzzletopuzzle #logical #truemathematics #bankexam #bankpreparation #realmath #reasoning #quantitativeaptitudequiz #mathforall #helpinghands . Follow @thedeepakmaths Follow @thedeepakmaths Follow @thedeepakmaths https://www.instagram.com/p/CCA_T6UpHiC/?igshid=86ke4d1f7pn3

[logicxonomy]

How to find the number of divisors

In this article, we will explore the divisor concepts, including the number of factors, prime factors, and the fascinating properties of the sum and product of factors. By understanding these concepts, you will gain valuable insights into the relationships between numbers and unlock the secrets hidden within their divisors.

The divisor or factor of any number divides it without leaving any remainder. For example, let’s consider the number 12. The divisors or factors of 12 are 1,2,3,4,6 and 12.

To find the total number of divisors of any number, we use the prime factorization method given below.

For example, the prime factorization of any number (N) is p^a×q^b×r^c, Here p,q, and r are the prime numbers (2,3,5,7,11,…etc.) and a,b, and c are their respective exponents.

The total number of divisors of N= (a+1)×(b+1)×(c+1)

Example: Find the number of divisors of 360

360=2³×3²×5¹

The number of factors= (3+1)×(2+1)×(1+1)=24

24 factors= {1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360}

Que 1: Find the number of prime factors of 360.

Solution: Three Prime factors={2,3,5}

Que 2: Find the number of odd factors of 360.

Solution: Remove 2³ from the prime factorization

Remaining Part= 3²×5¹

Number of odd factors= (2+1)×(1+1)=6

Que 3: Find the number of even factors of 360.

Solution: 360=2³×3²×5¹=2×[2²×3²×5¹]

Even Factors= 2K

K=2²×3²×5¹

Number of even factors= (2+1)×(2+1)×(1+1)=18

Que 4: Find the number of factors of 360 that are divisible by 12.

Solution: 360=2³×3²×5¹=2²×3×[2¹×3¹×5¹]

Required factor=12K

K=[2¹×3¹×5¹]

Number of required factors= (1+1)×(1+1)×(1+1)=8

Que 5: Find the number of factors of 360 which are perfect squares.

Solution: 360=2³×3²×5¹

Possible pairs={(2⁰, 2²)×(3⁰, 3²)×(5⁰)}

Number of required factors= 2×2×1=4

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