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If-there-just-were-0-1-2-3-4-i-in-place-of-the-decimal-or-binary-equivalets-




Question Number 146979 by ajfour last updated on 16/Jul/21
If there just were    0,±1,±2,±3,±4,±i  in place of the decimal or  binary equivalets..
$${If}\:{there}\:{just}\:{were} \\ $$$$\:\:\mathrm{0},\pm\mathrm{1},\pm\mathrm{2},\pm\mathrm{3},\pm\mathrm{4},\pm{i} \\ $$$${in}\:{place}\:{of}\:{the}\:{decimal}\:{or} \\ $$$${binary}\:{equivalets}.. \\ $$
Commented by Rasheed.Sindhi last updated on 17/Jul/21
Sir, you mean 5-Base system?
$$\mathcal{S}{ir},\:{you}\:{mean}\:\mathrm{5}-{Base}\:{system}? \\ $$
Answered by ajfour last updated on 23/Jul/21
  4+1=10   multiplication tables    1×1=1        2×1=2    1×2=2        2×2=4    1×3=3        2×3=11    1×4=4        2×4=13    1×10=10   2×10=20      3×1=3        4×1=4    3×2=11     4×2=13    3×3=14     4×3=22    3×4=22     4×4=31    3×10=30   4×10=40      (1/(10))=0.1   , 0−1=−1    2−21=−14, ..  so on    ......
$$\:\:\mathrm{4}+\mathrm{1}=\mathrm{10} \\ $$$$\:{multiplication}\:{tables} \\ $$$$\:\:\mathrm{1}×\mathrm{1}=\mathrm{1}\:\:\:\:\:\:\:\:\mathrm{2}×\mathrm{1}=\mathrm{2} \\ $$$$\:\:\mathrm{1}×\mathrm{2}=\mathrm{2}\:\:\:\:\:\:\:\:\mathrm{2}×\mathrm{2}=\mathrm{4} \\ $$$$\:\:\mathrm{1}×\mathrm{3}=\mathrm{3}\:\:\:\:\:\:\:\:\mathrm{2}×\mathrm{3}=\mathrm{11} \\ $$$$\:\:\mathrm{1}×\mathrm{4}=\mathrm{4}\:\:\:\:\:\:\:\:\mathrm{2}×\mathrm{4}=\mathrm{13} \\ $$$$\:\:\mathrm{1}×\mathrm{10}=\mathrm{10}\:\:\:\mathrm{2}×\mathrm{10}=\mathrm{20} \\ $$$$ \\ $$$$\:\:\mathrm{3}×\mathrm{1}=\mathrm{3}\:\:\:\:\:\:\:\:\mathrm{4}×\mathrm{1}=\mathrm{4} \\ $$$$\:\:\mathrm{3}×\mathrm{2}=\mathrm{11}\:\:\:\:\:\mathrm{4}×\mathrm{2}=\mathrm{13} \\ $$$$\:\:\mathrm{3}×\mathrm{3}=\mathrm{14}\:\:\:\:\:\mathrm{4}×\mathrm{3}=\mathrm{22} \\ $$$$\:\:\mathrm{3}×\mathrm{4}=\mathrm{22}\:\:\:\:\:\mathrm{4}×\mathrm{4}=\mathrm{31} \\ $$$$\:\:\mathrm{3}×\mathrm{10}=\mathrm{30}\:\:\:\mathrm{4}×\mathrm{10}=\mathrm{40} \\ $$$$ \\ $$$$\:\:\frac{\mathrm{1}}{\mathrm{10}}=\mathrm{0}.\mathrm{1}\:\:\:,\:\mathrm{0}−\mathrm{1}=−\mathrm{1} \\ $$$$\:\:\mathrm{2}−\mathrm{21}=−\mathrm{14},\:..\:\:{so}\:{on} \\ $$$$\:\:…… \\ $$

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