Convert Any General Number (± X.xxx) From One Base System Into AnotherThe base 16 number above EXACTLY equates to the following base 10 number:
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The following test tables were computed using the base conversion functions with pi, e and some other test values. The original source values of pi and e are accurate to 100 base 10 decimals. --------------------------------------------------------------------- pi = 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679 e = 2.7182818284590452353602874713526624977572470936999595749669676277240766303535475945713821785251664274 SqRt(2) = 1.4142135623730950488016887242096980785696718753769480731766797379907324784621070388503875343276415727 SqRt(0.5) = 0.7071067811865475244008443621048490392848359376884740365883398689953662392310535194251937671638207863 b Pi expressed in base b, truncated to 50 base b decimals 2 11.00100100001111110110101010001000100001011010001100 3 10.01021101222201021100211111022122222011120121212120 4 3.02100333122220202011220300203103010301212022023200 5 3.03232214303343241124122404140231421114302031002200 6 3.05033005141512410523441405312532110230121444200411 7 3.06636514320361341102634022446522266435206502401554 8 3.11037552421026430215142306305056006701632112201116 9 3.12418812407442788645177761731035828516545353462652 10 3.14159265358979323846264338327950288419716939937510 11 3.16150702865A48523521525977752941838668848853163A1A 12 3.184809493B918664573A6211BB151551A05729290A7809A492 13 3.1AC1049052A2C77369C0BB89CC9883278298358B3701603061 14 3.1DA75CDA81375427A40ABCB1BD47549C89BCB6861D3327C740 15 3.21CD1DC46C2B7E508484773E06919D1E50963DB79C69739EA3 16 3.243F6A8885A308D313198A2E03707344A4093822299F31D008 b e expressed in base b, truncated to 50 base b decimals 2 10.10110111111000010101000101100010100010101110110100 3 2.20110112122110201101222210201102122220120222221021 4 2.23133201110112022022323102221222233313011120200021 5 2.32434303404423034041031033101324013323441123230101 6 2.41505205352424312312540435235440435423503244401021 7 2.50124106542265043353530003006264426305144420013153 8 2.55760521305053551246527734254200471723636166134705 9 2.64155736418836425865288378521548740168847236326686 10 2.71828182845904523536028747135266249775724709369995 11 2.79A04008A9A1A053A7800497241191538406696852221A9217 12 2.8752360698219BA71971009B388AA87667602564272786BB92 13 2.9450B026A6BA1930037C3342517CA38813C4A01253876B9549 14 2.A0AD72C57C64708D92524158ABB93C65834495993D97737681 15 2.AB9303E43EB33620D2E31A85996E6CAC8E0E5928B686E2C33A 16 2.B7E151628AED2A6ABF7158809CF4F3C762E7160F38B4DA56A7 b SqRt(2) expressed in base b, truncated to 50 base b decimals 2 1.01101010000010011110011001100111111100111011110011 3 1.10201122122200121221222001121000102000220121112020 4 1.12220021321212133303233030210020230233230103121232 5 1.20134202041300003420422324133234223120310303210304 6 1.22524531420552332143223243044240333543441200224534 7 1.26203454521123261061342101201616624050400425112605 8 1.32404746317716746220426276611546725125751743533660 9 1.36485805578615303608174668167383308471572253220765 10 1.41421356237309504880168872420969807856967187537694 11 1.461355657A844629615366438242A6539353634240776A6804 12 1.4B79170A07B85737704B085486853504563650B559B8B79A40 13 1.55004799B6205CCB91C4AC28589600073623A92CC273870B2A 14 1.5B285DD02A87652611A61C40B8767DDA7DCC25701B02511548 15 1.632E8655B4940E5B1C5EE808E5B17983DBB4A49A8C3806DC2A 16 1.6A09E667F3BCC908B2FB1366EA957D3E3ADEC17512775099DA b SqRt(0.5) expressed in base b, truncated to 50 base b decimals 2 0.10110101000001001111001100110011111110011101111001 3 0.20100211022211210222111000210111201000110022021010 4 0.23110010330303033321313212102010112113312021230313 5 0.32314323243122224210211134314114334032402401330124 6 0.41242243510254144051411421322120144551520400112245 7 0.46435225610411464030521034100643312023533546041302 8 0.55202363147747363110213137304663352452764761655730 9 0.63242847284307146304082334078186148680735571554832 10 0.70710678118654752440084436210484903928483593768847 11 0.786182883A97786A30818877412153274727317675938A8957 12 0.859A696503BA29799625642843427862291926588ABA59AB20 13 0.92668A4B59769665B0C8BC7A9449666A1978547CC7A1AA057B 14 0.9C842DD71543A28307C30D205B3A3DDC3DD612A70C71277994 15 0.A917432A59C2072D0DA7740472D0B4B96D59C9C5461B7AE615 16 0.B504F333F9DE6484597D89B3754ABE9F1D6F60BA893BA84CED v2.0 - © Jay Tanner - 2024
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