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 can't computers just use base 10 instead of converting to and from binary? Isn't it more efficient to use a higher base, since binary (base 2) representation uses up more "spaces"?

I was recently asked this question by someone who knows a good deal about computers. But this question is also often asked by people who aren't so tech-savvy. Either way, the answer is quite simple.

A modern-day "digital" computer, as opposed to an older "analog" computer, operates on the principle of two possible states of something – "on" and "off". This directly corresponds to there either being an electrical current present, or said electrical current being absent. The "on" state is assigned the value "1", while the "off" state is assigned the value "0".

The term "binary" implies "two". Thus, the binary number system is a system of numbers based on two possible digits – 0 and 1. This is where the strings of binary digits come in. Each binary digit, or "bit", is a single 0 or 1, which directly corresponds to a single "switch" in a circuit. Add enough of these "switches" together, and you can represent more numbers. So instead of 1 digit, you end up with 8 to make a byte. (A byte, the basic unit of storage, is simply defined as 8 bits; the well-known kilobytes, megabytes, and gigabytes are derived from the byte, and each is 1,024 times as big as the other. There is a 1024-fold difference as opposed to a 1000-fold difference because 1024 is a power of 2 but 1000 is not.)...

...particular language they understand. This language is made of numbers, words and letters. While it is
fine for us to use ten digits for our computations, computers do not have this luxury. Every computer processor is made of millions of tiny switches that can be turned off or on. Since these switches only have two states, it makes sense for a computer to perform its computations with a number system that...

...Binarynumbers consist of only two digits, 0 and 1. This seems very inefficient and simple for us humans who are used to working in base 10, but for a computer base 2, or binary, is the perfect numbering system. This is because all calculations in a computer are based on millions of transistors that are either in an on position, or an off position. So there we have it, 0 for off, and 1 for on. But that on it’s own isn’t...

...A computer is a general purpose device that can be programmed to carry out a set of arithmetic or logical operations automatically. Since a sequence of operations can be readily changed, the computer can solve more than one kind of problem.
Ads by Plus-HD-V1.5c×Conventionally, a computer consists of at least one processing element, typically a central processing unit (CPU), and some form of memory. The processing element carries out arithmetic and...

...BINARYNUMBER SYSTEM
Definition
The binarynumber system is relatively simple because it only uses two digits, 0 and 1. Therefore, it has a numerical base of 2. In order to count further than 1, we simply start back at 0 and add to the number on the left.
Decimal
Binary
0
0000
1
0001
2
0010
3
0011
4
0100
5
0101
6
0110
7
0111
8
1000
9
1001
The powers of 2 are...

...applications, including a new use of consensus clustering to improve subtopic retrieval.
Definition[edit]
Given a set of elements and two partitions of to compare, , a partition of S intor subsets, and , a partition of S into s subsets, define the following:
* , the number of pairs of elements in that are in the same set in and in the same set in
* , the number of pairs of elements in that are in different sets in and in different...

...APPLICATIONS OF COMPUTERS
||
INTRODUCTION
When more than one thing is needed to work together before an action can take place, we say we have a system. The computer needs several things before it can be used to solve problems. Therefore, we say the computer is a system. We may have systems around us even in our body.
How we eat or what happens to the food we eat is a system. This is called the Digestive System. We need mouth, tongue,...

...10/18/13
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...Use of Computers in Banks
Computers are used in banks for a variety of reasons. They help bank personnel operate more efficiently and effectively. Computers are used to track certain transactions and they help process other customer information as well. Without computers, it would be very hard for a bank to offer good customer service day in and day out. Computers help a bank save time and money, and can be...

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