Binary numbers 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 very interesting or useful. Having a switch that is either off or on tells us nothing and doesn’t allow us to do any maths at all, which after all is what we want computers for. In order to do anything useful we have to group our switches (called bits) into something bigger. For example, eight bits becomes a byte, and by alternating the position of the bits, either 1 or 0, we end up with 256 combinations. All of a sudden we have something useful we can work with. As it happens, we can now use any number up to 255 (we lose one because 0 is counted as a number) for our mathematics, and if we use two bytes, the number of combinations for our sixteen bits becomes 65,536. Quite staggering considering we’re only talking about sixteen transistors. Now, in modern computers, a CPU is likely to have anything up to a billion transistors. That’s 1000 million switches all working together at nearly the speed of light, and if we can count to sixty-five thousand with only sixteen transistors, then think what we can achieve with a billion. ut many people have forgotten the basics of the computer processor these days. To many it’s just a chip that you stick into a motherboard that makes it go. No thought is given to the sheer number of calculations that goes on inside a processor, even just to read the article you’re reading right now. This is probably because the size of these transistors are now so small, you actually need a microscope to see them, and they can be packed into a processor core so small, the wires that connect them all together are many times...

...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 used to convert...

...4.3
4.3
Conversion Between Number Bases
169
Conversion Between Number Bases
Although the numeration systems discussed in the opening section were all base ten,
other bases have occurred historically. For example, the ancient Babylonians used 60
as their base. The Mayan Indians of Central America and Mexico used 20. In this
section we consider bases other than ten, but we use the familiar HinduArabic symbols. We will consistently indicate bases other...

...Pi has always been an interesting concept to me. A number that is infinitely being calculated seems almost unbelievable. This number has perplexed many for years and years, yet it is such an essential part of many peoples lives. It has become such a popular phenomenon that there is even a day named after it, March 14th (3/14) of every year! It is used to find the area or perimeter of circles, and used in our every day lives. Pi is used in things such as engineering...

...Add your name and roll number at the beginning of each program, in comments. Plagiarism: Any sort of plagiarism is not allowed. If found plagiarized it will be graded 0 marks. __________________________________________________________________________________________
Q.1: Write a program that lets the user perform arithmetic operations on two numbers (integers). Your
program must be menu driven, allowing the user to select the operation (+, -, *, or /) and input...

...used Roman Numerals and noticed math. So they know how to use it. That is where numbers got their name.
In Babylon and Egypt, the people first started using theoretical tools and numbering systems. The Egyptians used a decadic numbering system, which is based on the number 10 and still in use today. They also introduced characters used to describe the numbers 10 and 100, making it easier to describe larger numbers. Geometry started to...

...English 101C- WB
10/04/12
Uncontrollable Numbers
Today, magazines are causing uproar with targeting consumers with outrageous numbers to gain attention. Seeyle states, “A trip to the newsstand these days can be a dizzying descent into a blizzard of numbers.” Reading through the article, the author adventured through numbers in sales, and how people can be addicted to these certain number strategies. She claims that in...

...fractions to binary in a more attractive way
We all know how to convert decimal integral numbers to binary (don't we?) by the simple method of dividing succesively by 2 and using the remainders but what happens when we are trying to convert a decimal number which has a fractional part?
First we can see that it is obvious that the integral part of a decimal number will always be represented by an integral...

...Murphy
William Smith
Com 202
6 July 2008
Binary Code
The first known occurrence of the binary numeral system is around the 8th century BC. It was created by the ancient Indian writer Pingala. He came across this as a method to describe prosody. This type of numeration system is a descendant of the Old Kingdom’s Eye of the Horus. A full set of eight trigrams and sixty four hexagrams, which are analog to the three bit and six bit...