Difference between revisions of "Binary number"
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(New page: The binary numeral system is a positional notation with a radix of 2. The symbols used in writing is usually 0 and 1. Each binary digit has double the value of the preceding one, the ...) |
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| − | Since each digit is half the value of the bit to the left and double the value of the bit to the right it is simple to [[Division|divide]] or [[Multiplication|multiply]] a number by two by just shifting all bits just one position to the right or left. This is often the key to efficient computer programming. | + | Since each digit is half the value of the bit to the left and double the value of the bit to the right it is simple to [[Division|divide]] or [[Multiplication algorithms|multiply]] a number by two by just shifting all bits just one position to the right or left. This is often the key to efficient computer programming. |
[[Category:Computing]] | [[Category:Computing]] | ||
Revision as of 16:58, 30 January 2007
The binary numeral system is a positional notation with a radix of 2. The symbols used in writing is usually 0 and 1.
Each binary digit has double the value of the preceding one, the first digit has the value 1.
0001 = 1 0010 = 2 0100 = 4 1000 = 8
Summing up the values for the digits that are 1 gives the number in decimal
0001 0010 = 2 0100 = 4 1000 -------- 0110 = 6
Since each digit is half the value of the bit to the left and double the value of the bit to the right it is simple to divide or multiply a number by two by just shifting all bits just one position to the right or left. This is often the key to efficient computer programming.
