Number System  Formulas, Examples, Shortcuts and Video
Number System Shortcuts  Page 2
Number System Important Questions  Page 3
Number System Video Lecture  Page 4
NUMBER SYSTEM FACTS AND FORMULAS
A number system is nothing more than a code. For each distinct quantity there is an assigned symbol. The most familiar number system is the decimal system which uses 10 digits, that is, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
The main advantage of its simplicity and long use. Most of the ancient societies used this system. Even in our everyday life we use this system and is sometimes being taken as the natural way to count. Since this system uses 10 digits it is called a system to base 10. A binary number system is a code that uses only two basic symbols, that is, 0 and 1. This system is very useful in computers. Since, in this system, only two symbols are there, it can be used in electronic industry using ‘on’ and ‘off’ positions of a switch denoted by the two digits 0 and 1.
Decimal Number System :
Decimal number system used 10 digits, 0 through 9, that is, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
Binary Number System :
Binary means two. The binary number system uses only two digits, 0 and 1.
Basic or Radix :
The basic or radix of a number system is equal to the number of digits or symbols used in that number system. For example, decimal system uses 10 digits, so that base of decimal system (this is, decimal numbers) is 10.
Binary numbers have base 2.
A subscript attached to a number indicates that base of the number. For example, means binary 100. stands for decimal 100.
Weights: In any number to a given base, each digit, depending on its position in the number has a weight in powers of the base.
Note: Decimal to Binary Conversion
Step 1 : Divide the number by 2.
Step 2 : Divide Quotient of Step 1 by 2.
Continue the process till we get quotient = 0 and remainder as 1.
Then, the remainder from down upwards written form left to right give the binary number.
Illustration 4 Convert decimal 23 to binary.
Solution Images
Reading the remainders upwards and writing from left to right we get the binary equivalent of decimal 23 as 10111.
That is, Binary 10111 is equivalent to decimal 23 or we can write .
Note : Binary to Decimal Conversion
Following steps are involved to convert a binary number to its decimal equivalent.
Step 1 : Write the binary number.
Step 2 : Write the weights ,… under the binary digits starting from extreme right.
Step 3 : Cross out any weight under a zero, that is, weight under zeros in the binary number should be deleted.
Step 4 : Add the remaining weights.
Binary Addition : In binary number system there are only 2 digits, that is, 0 and 1. In decimal system we carry 1 for every 10 whereas in binary system we carry 1 for every 2. Hence, rules of addition are as under.
0+0=0
0+1=1
1+0=1
1+1=10
Latest Jobs

 Type
 Job Notification
 Job
 PGCIL Recruitment of EXECUTIVE TRAINEE in Electrical discipline through GATE 2020.
 Location
 GurugramHaryana, India
 Date Posted
 18 Sep 2019

 Type
 Job Notification
 Job
 Sri Guru Tegh Bahadur Khalsa College Recruitment of 54 Assistant Professor  Last Date 15092019
 Location
 DelhiDelhi, India
 Date Posted
 18 Sep 2019

 Type
 Job Notification
 Job
 State Bank of India Recruitment of 56 MEDICAL OFFICER.
 Location
 Anywhere
 Date Posted
 18 Sep 2019

 Type
 Job Notification
 Job
 RAILWAY RECRUITMENT CELL (RRC)  118 MultiTasking Staff  Last Date 15102019
 Location
 Anywhere
 Date Posted
 18 Sep 2019

 Type
 Job Notification
 Job
 Jesus and Mary College Recruitment for the post of PRINCIPAL. Last Date 04102019
 Location
 DelhiDelhi, India
 Date Posted
 18 Sep 2019

 Type
 Job Notification
 Job
 NCERT Recruitment of Manager, Accountant, PRO and others  Last Date 21 days from the date of publishing.
 Location
 DelhiDelhi, India
 Date Posted
 18 Sep 2019

 Type
 Job Notification
 Job
 Sri Guru Gobind Singh College of Commerce Recruitment of ASSISTANT PROFESSORS  28092019
 Location
 DelhiDelhi, India
 Date Posted
 18 Sep 2019

 Type
 Job Notification
 Job
 Engineers India Limited Recruitment of Piping Stress (Mechanical), Planning (Civil), Planning (Mechanical)
 Location
 DelhiDelhi, India
 Date Posted
 18 Sep 2019

 Type
 Job Notification
 Job
 Maitreyi College  University of Delhi  Recruitment of 71 Assistant professor  Last Date 27092019
 Location
 DelhiDelhi, India
 Date Posted
 18 Sep 2019

 Type
 Job Notification
 Job
 Kudremukh Iron Ore Company  KIOCL Recruitment of COMPANY SECRETARY, MANAGER, CONSULTANT and More Last Date 27092019
 Location
 BengaluruKarnataka, India
 Date Posted
 18 Sep 2019