# Computer number system

How to count to on two hands Video transcript - [Voiceover] For as long as human beings have been around we've been counting things, and we've been looking for ways to keep track and represent those things that we counted.

The first computer to use the binary number system was probably the Z1, started by Konrad Zuse in It was a mechanical computer, not fully programmable, but is still considered a computer.

Who suggested the use of the binary number system for use by computers?

## Number System Conversions

Long before we had digital computers we hadmachines that were fully capable of processing binary information. Although Babbage dabbled withdecimal machines, even he saw the benefits of using binary; by farthe simplest method of implementing a numeric system at the machinelevel.

Refers to the schemes implemented in digital computer and calculator hardware and software to represent numbers. What is the advantage of using octal number system in computers?

When dealing with large quantity of binary numbers of many bits, it is easy and more efficient for us to write the numbers in octal form.

This system is used to express large numbers as used in computers e. Moreover, octal multiplication and division are more easy than the hexadecimal number system. Many computer systems though not all Computer number system numbers internally in base two, by using large numbers of heavily miniaturized devices called bistables.

Bistables really are a class of devices, like "cars" for instance. Various technologies will implement bistables in various ways, but like "cars", they will all implement some basic common functionality. In the case of the bistable this basic functionality is the fact that they can only have one of two states, at any one time: The "on" state of a bistable represents a binary "1" and the "off" state represents a binary "0".

Thus, the decimal number 3 binary 11 for example can be represented by two bistables, each of them in their "on" state. Because bistables have two possible states, they can only be used to represent base two numbers for which only two possible digits 1 and 0 are needed.

Therefore computers are said to operate in base two.

However, any number can be converted from any base to any base, so any decimal number one can think of can also be stored by a computer in base two, with no disadvantage.

Any content that can be represented numerically can also be represented by binary numbers and therefore computers are able to employ various quantities of bistables to represent all sorts of contents, from images to text to software. With 1 being on or active, and 0 being off or inactive.

Why do computers operate on binary number system instead of decimal number system?

Number Systems and Number Representation 1. 2 For Your Amusement The Decimal Number System Name • “decem” (Latin) => ten Characteristics Computer programmers often use the octal number system 15 Why? Decimal-Octal Equivalence 16 . Computer Number System Showing top 8 worksheets in the category - Computer Number System. Some of the worksheets displayed are Number systems base conversions and computer data, Computer fundamentals number systems dr robert harle, Number systems and number representation, 1 number systems, Number systems exercises, Chapter 1 the binary number. Number Systems and Number Representation 1. 2 For Your Amusement Goals of this Lecture Help you learn (or refresh your memory) about: • The binary, hexadecimal, and octal number systems • Finite representation of unsigned integers • Finite representation of signed integers Computer programmers often use the hexadecimal number.

Digital computers use binary representations because it is by far the simplest representation to implement.

Computers use various methods to represent a binary digit a bitsuch as switches that are either on or off, or capacitors that can be filled or drained of electric charge via transistors.

The more rapidly it can switch an individual bit between these two states the more quickly it will operate, but it must also be able to "read" the state just as rapidly.

With only two possible states this is extremely simple because the computer only needs to test if a signal of any kind is above or below a given threshold. If we were to attempt to do the same thing with a decimal system, the computer would need to differentiate between 10 possible states using 9 thresholds per digit.

In binary, the computer can easily differentiate between 16 possible states using just 4 bits and therefore 4 thresholds. Thus binary is clearly the more efficient way to represent digital information. Why was the binary number system adopted for use in computers? The binary number system was adopted for use in computers because it is the only thing computers understand.

Number system used with computers?

The binary numeral systemor base-2 number systemis a numeral system that represents numeric values using two symbols, usually 0 and 1. More specifically, the usual base - 2 system is a positional notation with a radix of 2.

Owing to its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used internally by all modern computers. Why does the computer use the binary number system? A computer can only distinguish between two states: So it can only use two numbers.

Because the first computer consisted of rows of switches which were either on - or off. The binary number system uses a 1 and 0 in place of the on and off functions.

Computers are electrical machines, so we are pretty much forced to use it as the lowest level of communication. Binary is used in all computers because at the hardware leveleverything is simply on or off1 or 0.A computer can understand the positional number system where there are only a few symbols called digits and these symbols represent different values depending on the position they occupy in the number.

Number Systems and Number Representation 1. 2 For Your Amusement The Decimal Number System Name • “decem” (Latin) => ten Characteristics Computer programmers often use the octal number system 15 Why?

Decimal-Octal Equivalence 16 . Number systems and computers Computers store all data as binary digits, but we may need to convert this to a number system we are familiar with.

Computer programs and data are often represented (outside the computer) using octal and hexadecimal number systems because they are a short hand way of representing binary numbers/5/ 7. A computer number format is the internal representation of numeric values in digital computer and calculator hardware and software.

Normally, numeric values are stored as groupings of bits, named for the number of bits that compose them. You probably already know what a number system is - ever hear of binary numbers or hexadecimal numbers?

Simply put, a number system is a way to represent numbers. We are used to using the base number system, which is also called decimal. Other common number systems include base (hexadecimal), base-8 (octal), and base-2 (binary).

The Significance of the Bit A bit (Binary digIT) is merely 0 or 1 It is a unit of information since you cannot communicate with anything less than two states The use of binary encoding dates back to the s with.

What is Computer Number System