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In the computer world " b inary dig it " is often shortened to the word " bit ". So, there are only two ways we can have a binary digit "0" and "1" , or "On" and "Off" And without the leading 0s we have the first 16 binary numbers:.
Because we take all the previous possible values and match them with a "0" and a "1" like above. Or to put it another way, it could show a number up to 1,,,,, note: There is an old Indian legend about a King who was challenged to a game of chess by a visiting Sage. The King asked "what is the prize if you win?
The Sage said he would simply like some grains of rice: The King was surprised by this humble request. On the first square: By the 30th square you can see it is already a lot of rice! A billion grains of rice is about 25 tonnes 1, grains is about 25g Notice that the Total of any square is 1 less than the Grains on the next square Example: So the total of all squares is a formula: So, the power of binary doubling is nothing to be taken lightly billion tonnes is not light!
By the way, in the legend the Sage reveals himself to be Lord Krishna and tells the King that he doesn't have to pay the debt at once, but can pay him over time, just serve rice to pilgrims every day until the debt is paid off. Lastly, let us look at the special relationship between Binary and Hexadecimal.
There are 16 Hexadecimal digits, and we already know that 4 binary digits have 16 possible values. Well, this is exactly how they relate to each other:. So, when people use computers which prefer binary numbers , it is a lot easier to use the single hexadecimal digit rather than 4 binary digits. For example, the binary number "" is "9B4" in hexadecimal. I know which I would prefer to write! Hide Ads About Ads. So, to fill all 64 squares in a chess board would need: