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Hamming codes

September 2000
Hamming codes are linear binary codes. The data is split into blocks and each block has check digits assigned to it. A block of data will be of length k, to which nk check digits are assigned, so the length of data transmitted is n digits. They use modulo 2 arithmetic. Multiplication is done as usual so 0×0=0×1=1×0=0 and 1×1=1. Addition is mostly as usual with 0+0=0 and 0+1=1+0=1 but there is the one exception of 1+1=0.
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Opinion

September 2000

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Have you anything to say on these or other subjects of interest to Plus readers? E-mail plus@maths.cam.ac.uk.

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Letters

June 2000

Trying A New Hat

I am hoping that you can help me out with my problem. I am finishing my final year at university in June. Ideally I would like to pursue a career as a financial analyst.

However, I have not studied maths A-Level and my degree is not highly quantitative. I know it sounds hopeless but would anyone at Plus know how I can turn from maths average to rocket scientist in the three months over the summer?

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Letters

January 2000

Curious about nines

I recently noticed a curious fact about the number nine and the result of multiplying it. Could you provide an explanation for this beyond "coincidence"? The curious fact is this:

If you multiply any number from 1 through 31 by nine the result is a number that when the digits are added either equals nine or results in two nines. For example, 9 x 2 = 18; and 9 x 31 = 279.

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