# Computer number system

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. Ever see crazy binary numbers and wonder what they meant?

## Number System Conversions

Ever see numbers with letters mixed in and wonder what is going on? What is a Number System? 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 hexadecimalbase-8 octaland base-2 binary. There are many different ways to represent a color, but one of the most common is the RGB color model.

Using this model, every color is made up of a combination of different amounts Computer number system red, green, and blue. You may be wondering how colors relate to number systems.

In short, on a computer, any color is stored as a large number: Your job is to guess how much red, green, and blue is in the background color of the activity below.

The values for red, green, and blue can range from 0 to Feel free to use the various hints provided to help you out. You can see what your guess looks like using the Check Guess button. And if the background color happens to make the text difficult to read, hit New Color.

Right now, it may seem tricky, but hopefully by the end of the article, it will seem easy. Looking at Base 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, If you answered 12, you are thinking in base First, you go through all the digits: Once you hit 9, you have no more digits to represent the next number.

So, you change it back to 0, and add 1 to the tens digit, giving you The right-most digit represents the number of ones, the next digit represents the number of tens, the next the number of hundreds, etc.

Visualizing Base Confused by these descriptions? Imagine a large number, like We can represent that with two groups of one thousand, three groups of one hundred, four groups of ten, and seven individual blocks.

Base Mathematically You may have noticed a pattern by now. As you saw, there are 2 groups of a thousand. There are 3 groups of a hundred.

That may seem strange, but any number to the power of 0 equals 1, by definition. This is essentially the definition of base To get a value of a number in base, we simply follow that pattern. Here are a few more examples: We all know what value a base number is because we always use base, and it comes naturally to us.

Base-8 On to base-8, also called octal. Base-8 means just what is sounds like: Remember how in base we had ten digits? Now, in base-8, we are limited to only eight digits: We count the same way as we normally would, except with only eight digits.

Instead of a lengthy explanation, simply try out the demo below by clicking Count Up 1 to see how counting in base-8 works.

You should notice a similar pattern to before; after we get to 7, we run out of different digits for any higher number. We need a way to represent eight of something. So we add another digit, change the 7 back to 0, and end up with 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.

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.

## Binary and hexadecimal number systems

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.

A computer number format is the internal representation of numeric values in digital computer and calculator hardware and software. When typing numbers, formatting characters are used to describe the number system, for example _B or 0b_ for binary and 0F8H or 0xf8 for hexadecimal numbers.

Converting . A number system in computer is a set of values used to represent different leslutinsduphoenix.com example, a number system can be used to represent the number of students in a class Number system is a set of values used to represent different quantities.

Another command that will also print the model number (or make) of your computer is: wmic csproduct get name, identifyingnumber. The system model number can also be found using the System Information program available under All Programs – > Accessories – > System Tools.

Computer number format - Wikipedia