Why binary number system

A single binary digit like "0" or "1" is called a "bit". For example is five bits long. The word bit is made up from the words " b inary dig it ". Example: What is 2 in Decimal? Example: What is 1. The "1" on the left side is in the ones position, so that means 1. Example: What is The processor works by reacting to an input of 0s and 1s in specific manner and then returning an output based on the decision. The decision itself happens in a circuit called a logic gate, each of which requires at least one transistor, with the inputs and outputs arranged differently for different operations.

In mathematics and mathematical logic , Boolean algebra is the branch of algebra in which the values of the variables are the truth values true and false and this is usually denoted in binary 1 and 0 respectively.

Boolean algebra has been fundamental in the development of digital electronics. In algebra we make use of decimal numbers , whereas the Boolean algebra uses truth values , true 1 and false 0. A logic gate is a tiny circuit used in processors for making a logical decision which is based on Boolean algebra. Boolean Algebra is used to analyze and simplify the digital logic circuits.

It uses only the binary numbers i. It is also called as Binary Algebra or Logical Algebra. This is the most comprehensive and unique C omputer Science And Programming Fundamentals course Online which will give you in depth understanding of most important fundamental concepts in computer science And Programming.

Home About Course Contents 1. Introduction To Computer Science 2. Introduction To Computer System 2 A. How Computer Works? Binary Number System 4. Computer System Memory 4 A. Virtual Memory 4 B. What Is Machine Cycle? Intel Architecture 6. Computer Bus System 7. Operating System 9. Data Structures And Algorithms Computer Programming Fundamentals 10 A. Object Oriented Programming.

Procedural Programming 10 C. Programming Paradigms Software Engineering Web Design And Development Computer Engineering Android Development Java Programming Basics Computer Organization And Architecture 1. What Is Control Unit? What Is Instruction Format? What Is Machine Instruction? Binary Number System. And therefore, we need to communicate with the computer only using Binary Code The binary code is also alternately referred as machine language or machine code.

Binary Numbers System. Table Of Contents. What Is Number Systems? How Data Represented In Binary. Binary Numbers And Logic Gates. Types Of Number Systems. So we add zero times two, that's zero. There's a one in the fours place. So we add one times four, that's four. So so far, we've got four plus one, and then there's a zero in the final place, the eights place, that's zero times eight or zero.

So we've got zero plus four plus zero plus one, which equals five in decimal. Let's try converting a bigger binary number to decimal. We know that this equals five. What happens if we add four more digits to the left of these four digits? Let's start by figuring out what each place represents. One way of doing that is just to double the previous places. So this place here is 16, this place is 32, this place is 64, and this place is Another way of doing this is to calculate the powers of two.

So this place is two to the fourth, which is This is two to the fifth, which is This is two to the sixth, And this is two to the seventh, Okay, so now we know what each place represents.

Now we can add these numbers up. We know already that these one's equal five. We already did that. Now, let's add in what we've added here. So we have a one in the So that means we're going to add 16 to the number. Then there's a zero in the So that's just gonna be zero. There's a one in the 64, so that's going to be And there's a zero in the , so that'll be zero.