The mathematics of computers and logic circuits

A detailed Summary of The mathematics of computers and logic circuits

"The Mathematics of Computers and Logic Circuits"

A long time a go, mankind wanted to find another system. Once electricity was invented, man thought up a new number system that would do more. The people of India and the Mayan Indians are thought to have found the zero. Both of these groups used a base system of twenty. Eskimos counted with a base of five. And back to electricity, it only can exist in two stages- on and off. This would use an base of two. The only numbers that are used are 1 and 0. This system was originally discovered but then lost 4,000 years ago in China. There is a country between New Guinea and Cape York of Australia that used a two base system.

Every time a digit is shifted one place, it is multiplied by two. It starts with one value and works it's way up. 2, 4, 6, 8, 16, 32, ........ In order to reach 15, you must use 8, 4, 2, and 1. 13. The numbers roll over every two digits. One is 1, two is 10, three is 11, four is 100, five is 101, and so on. On the computer, these binary digits are called bits. 17

If you move digits to the left the number increases by powers of two compared by decimal increm

answerstips/story/0,23008,3014127,00.html (03-15-01)

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Ello, J. "What Does Binary Have to do With Computers?" URL: http://www.jello.net/

The binary code can also stand for letters. A equals one, B equals two, c equals three, and so on. When a key on the keyboard is pressed eight pulses are sent to the computer. The code then gets translated in to ASCII (international standard for characters).

The first step in expansion is to write down the power of the binary number in a column format begining with the least significant digit. You then add the values. The double-dabble method is a short cut method. First double the highest binary digit (leftmost) and add it to the next digit to it's right. Then double the sun and add one or zero depending on whether the next digit to the right is a one or a zero. Then you repeat the process until the sum contains the lowest order digit at the right.

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Approximate Word count = 773
Approximate Pages = 3 (250 words per page double spaced)

Category: Science

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