Reciprocal expansions (1/n) in radix 2:

n₁₀	n	1/n	period

`1`	`1`	`1`	`0`
`2`	`10`	`0.1`	`0`
`3`	`11`	`0.(01)`	`2`
`4`	`100`	`0.01`	`0`
`5`	`101`	`0.(0011)`	`4`

`6`	`110`	`0.0(01)`	`2`
`7`	`111`	`0.(001)`	`3`
`8`	`1000`	`0.001`	`0`
`9`	`1001`	`0.(000111)`	`6`
`10`	`1010`	`0.0(0011)`	`4`

`11`	`1011`	`0.(0001011101)`	`10`
`12`	`1100`	`0.00(01)`	`2`
`13`	`1101`	`0.(000100111011)`	`12`
`14`	`1110`	`0.0(001)`	`3`
`15`	`1111`	`0.(0001)`	`4`

`16`	`10000`	`0.0001`	`0`
`17`	`10001`	`0.(00001111)`	`8`
`18`	`10010`	`0.0(000111)`	`6`
`19`	`10011`	`0.(000011010111100101)`	`18`
`20`	`10100`	`0.00(0011)`	`4`

`21`	`10101`	`0.(000011)`	`6`
`22`	`10110`	`0.0(0001011101)`	`10`
`23`	`10111`	`0.(00001011001)`	`11`
`24`	`11000`	`0.000(01)`	`2`
`25`	`11001`	`0.(00001010001111010111)`	`20`

`26`	`11010`	`0.0(000100111011)`	`12`
`27`	`11011`	`0.(000010010111101101)`	`18`
`28`	`11100`	`0.00(001)`	`3`
`29`	`11101`	`0.(0000100011010011110111001011)`	`28`
`30`	`11110`	`0.0(0001)`	`4`

`31`	`11111`	`0.(00001)`	`5`
`32`	`100000`	`0.00001`	`0`
`33`	`100001`	`0.(0000011111)`	`10`
`34`	`100010`	`0.0(00001111)`	`8`
`35`	`100011`	`0.(000001110101)`	`12`

`36`	`100100`	`0.00(000111)`	`6`
`37`	`100101`	`0.(000001101110101100111110010001010011)`	`36`
`38`	`100110`	`0.0(000011010111100101)`	`18`
`39`	`100111`	`0.(000001101001)`	`12`
`40`	`101000`	`0.000(0011)`	`4`

`41`	`101001`	`0.(00000110001111100111)`	`20`
`42`	`101010`	`0.0(000011)`	`6`
`43`	`101011`	`0.(00000101111101)`	`14`
`44`	`101100`	`0.00(0001011101)`	`10`
`45`	`101101`	`0.(000001011011)`	`12`

`46`	`101110`	`0.0(00001011001)`	`11`
`47`	`101111`	`0.(00000101011100100110001)`	`23`
`48`	`110000`	`0.0000(01)`	`2`
`49`	`110001`	`0.(000001010011100101111)`	`21`
`50`	`110010`	`0.0(00001010001111010111)`	`20`

`51`	`110011`	`0.(00000101)`	`8`
`52`	`110100`	`0.00(000100111011)`	`12`
`53`	`110101`	`0.(0000010011010100100001110011111011001010110111100011)`	`52`
`54`	`110110`	`0.0(000010010111101101)`	`18`
`55`	`110111`	`0.(00000100101001111001)`	`20`

`56`	`111000`	`0.000(001)`	`3`
`57`	`111001`	`0.(000001000111110111)`	`18`
`58`	`111010`	`0.0(0000100011010011110111001011)`	`28`
`59`	`111011`	`0.(0000010001010110110001111001011111011101010010011100001101)`	`58`
`60`	`111100`	`0.00(0001)`	`4`

`61`	`111101`	`0.(000001000011001001011100010100111110111100110110100011101011)`	`60`
`62`	`111110`	`0.0(00001)`	`5`
`63`	`111111`	`0.(000001)`	`6`
`64`	`1000000`	`0.000001`	`0`
`65`	`1000001`	`0.(000000111111)`	`12`

`66`	`1000010`	`0.0(0000011111)`	`10`
`67`	`1000011`	`0.(000000111101001000100110001101010111111000010110111011001110010101)`	`66`
`68`	`1000100`	`0.00(00001111)`	`8`
`69`	`1000101`	`0.(0000001110110101110011)`	`22`
`70`	`1000110`	`0.0(000001110101)`	`12`

`71`	`1000111`	`0.(00000011100110110000101011010001001)`	`35`
`72`	`1001000`	`0.000(000111)`	`6`
`73`	`1001001`	`0.(000000111)`	`9`
`74`	`1001010`	`0.0(000001101110101100111110010001010011)`	`36`
`75`	`1001011`	`0.(00000011011010011101)`	`20`

`76`	`1001100`	`0.00(000011010111100101)`	`18`
`77`	`1001101`	`0.(000000110101001100011101111011)`	`30`
`78`	`1001110`	`0.0(000001101001)`	`12`
`79`	`1001111`	`0.(000000110011110110010001110100101010001)`	`39`
`80`	`1010000`	`0.0000(0011)`	`4`

`81`	`1010001`	`0.(000000110010100100010110000111111001101011011101001111)`	`54`
`82`	`1010010`	`0.0(00000110001111100111)`	`20`
`83`	`1010011`	`0.(0000001100010101100101110010000111101101011111100111010100110100011011110000100101)`	`82`
`84`	`1010100`	`0.00(000011)`	`6`
`85`	`1010101`	`0.(00000011)`	`8`

`86`	`1010110`	`0.0(00000101111101)`	`14`
`87`	`1010111`	`0.(0000001011110001010010011001)`	`28`
`88`	`1011000`	`0.000(0001011101)`	`10`
`89`	`1011001`	`0.(00000010111)`	`11`
`90`	`1011010`	`0.0(000001011011)`	`12`

`91`	`1011011`	`0.(000000101101)`	`12`
`92`	`1011100`	`0.00(00001011001)`	`11`
`93`	`1011101`	`0.(0000001011)`	`10`
`94`	`1011110`	`0.0(00000101011100100110001)`	`23`
`95`	`1011111`	`0.(000000101011000111011010010001100001)`	`36`

`96`	`1100000`	`0.00000(01)`	`2`
`97`	`1100001`	`0.(000000101010001110100000111111010101110001011111)`	`48`
`98`	`1100010`	`0.0(000001010011100101111)`	`21`
`99`	`1100011`	`0.(000000101001010111111010110101)`	`30`
`100`	`1100100`	`0.00(00001010001111010111)`	`20`

`101`	`1100101`	`0.(0000001010001000110111110000110010101100010110110011111101011101110010000011110011010100111010010011)`	`100`
`102`	`1100110`	`0.0(00000101)`	`8`
`103`	`1100111`	`0.(000000100111110001000101100101111001110010010101001)`	`51`
`104`	`1101000`	`0.000(000100111011)`	`12`
`105`	`1101001`	`0.(000000100111)`	`12`

`106`	`1101010`	`0.0(0000010011010100100001110011111011001010110111100011)`	`52`
`107`	`1101011`	`0.(0000001001100100011111000110100101000101011000100001011111101100110111000001110010110101110101001110111101)`	`106`
`108`	`1101100`	`0.00(000010010111101101)`	`18`
`109`	`1101101`	`0.(000000100101100100111111011010011011)`	`36`
`110`	`1101110`	`0.0(00000100101001111001)`	`20`

`111`	`1101111`	`0.(000000100100111001101010000101110001)`	`36`
`112`	`1110000`	`0.0000(001)`	`3`
`113`	`1110001`	`0.(0000001001000011111101101111)`	`28`
`114`	`1110010`	`0.0(000001000111110111)`	`18`
`115`	`1110011`	`0.(00000010001110011110000011010101101101000101)`	`44`

`116`	`1110100`	`0.00(0000100011010011110111001011)`	`28`
`117`	`1110101`	`0.(000000100011)`	`12`
`118`	`1110110`	`0.0(0000010001010110110001111001011111011101010010011100001101)`	`58`
`119`	`1110111`	`0.(000000100010011010111001)`	`24`
`120`	`1111000`	`0.000(0001)`	`4`

`121`	`1111001`	`0.(00000010000111011001111010101101011111001101001110010001111110111100010011000010101001010000011001011000110111)`	`110`
`122`	`1111010`	`0.0(000001000011001001011100010100111110111100110110100011101011)`	`60`
`123`	`1111011`	`0.(00000010000101001101)`	`20`
`124`	`1111100`	`0.00(00001)`	`5`
`125`	`1111101`	`0.(0000001000001100010010011011101001011110001101010011111101111100111011011001000101101000011100101011)`	`100`

`126`	`1111110`	`0.0(000001)`	`6`
`127`	`1111111`	`0.(0000001)`	`7`
`128`	`10000000`	`0.0000001`	`0`
`129`	`10000001`	`0.(00000001111111)`	`14`
`130`	`10000010`	`0.0(000000111111)`	`12`

`131`	`10000011`	`0.(0000000111110100010001100101100111100100101001000010011100010101011111110000010111011100110100110000110110101101111011000111010101)`	`130`
`132`	`10000100`	`0.00(0000011111)`	`10`
`133`	`10000101`	`0.(000000011110110011)`	`18`
`134`	`10000110`	`0.0(000000111101001000100110001101010111111000010110111011001110010101)`	`66`
`135`	`10000111`	`0.(000000011110010101110011101011001001)`	`36`

`136`	`10001000`	`0.000(00001111)`	`8`
`137`	`10001001`	`0.(00000001110111100101110101101110001111111000100001101000101001000111)`	`68`
`138`	`10001010`	`0.0(0000001110110101110011)`	`22`
`139`	`10001011`	`0.(000000011101011101111011011001010100101110000010110000110011100100010111111100010100010000100100110101011010001111101001111001100011011101)`	`138`
`140`	`10001100`	`0.00(000001110101)`	`12`

`141`	`10001101`	`0.(0000000111010000110010110101100011110110111011)`	`46`
`142`	`10001110`	`0.0(00000011100110110000101011010001001)`	`35`
`143`	`10001111`	`0.(000000011100101001001011001100000101010111101110000110010001)`	`60`
`144`	`10010000`	`0.0000(000111)`	`6`
`145`	`10010001`	`0.(0000000111000011111110001111)`	`28`

`146`	`10010010`	`0.0(000000111)`	`9`
`147`	`10010011`	`0.(000000011011110111010010101110001001100101)`	`42`
`148`	`10010100`	`0.00(000001101110101100111110010001010011)`	`36`
`149`	`10010101`	`0.(0000000110110111110101101100001111011101101000110011100010110010101011110011111110010010000010100100111100001000100101110011000111010011010101000011)`	`148`
`150`	`10010110`	`0.0(00000011011010011101)`	`20`

`151`	`10010111`	`0.(000000011011001)`	`15`
`152`	`10011000`	`0.000(000011010111100101)`	`18`
`153`	`10011001`	`0.(000000011010110001010111)`	`24`
`154`	`10011010`	`0.0(000000110101001100011101111011)`	`30`
`155`	`10011011`	`0.(00000001101001101101)`	`20`

`156`	`10011100`	`0.00(000001101001)`	`12`
`157`	`10011101`	`0.(0000000110100001011011010011111110010111101001001011)`	`52`
`158`	`10011110`	`0.0(000000110011110110010001110100101010001)`	`39`
`159`	`10011111`	`0.(0000000110011100001011010001010011101110010010100001)`	`52`
`160`	`10100000`	`0.00000(0011)`	`4`

`161`	`10100001`	`0.(000000011001011100001110010011111)`	`33`
`162`	`10100010`	`0.0(000000110010100100010110000111111001101011011101001111)`	`54`
`163`	`10100011`	`0.(000000011001001000001111101101001001110100001110001000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010100110011110101)`	`162`
`164`	`10100100`	`0.00(00000110001111100111)`	`20`
`165`	`10100101`	`0.(00000001100011010011)`	`20`

`166`	`10100110`	`0.0(0000001100010101100101110010000111101101011111100111010100110100011011110000100101)`	`82`
`167`	`10100111`	`0.(00000001100010000110111001011111000010101011101100000100100110010100101100011101001)`	`83`
`168`	`10101000`	`0.000(000011)`	`6`
`169`	`10101001`	`0.(000000011000001111001001011101111010101100101011111011011101001010001110011000111111100111110000110110100010000101010011010100000100100010110101110001100111)`	`156`
`170`	`10101010`	`0.0(00000011)`	`8`

`171`	`10101011`	`0.(000000010111111101)`	`18`
`172`	`10101100`	`0.00(00000101111101)`	`14`
`173`	`10101101`	`0.(0000000101111010110100100010000010001110000011101100110000110101010001011000110010010011111110100001010010110111011111011100011111000100110011110010101011101001110011011011)`	`172`
`174`	`10101110`	`0.0(0000001011110001010010011001)`	`28`
`175`	`10101111`	`0.(000000010111011001111101110011100100001101001010100110110001)`	`60`

`176`	`10110000`	`0.0000(0001011101)`	`10`
`177`	`10110001`	`0.(0000000101110010010000101000011111110100011011011110101111)`	`58`
`178`	`10110010`	`0.0(00000010111)`	`11`
`179`	`10110011`	`0.(0000000101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110100100011110000010001001010010111100110010000011100100110100111010101000110000101)`	`178`
`180`	`10110100`	`0.00(000001011011)`	`12`

`181`	`10110101`	`0.(000000010110101000010011110011010001010100110111001010010000010000111110001110110110011100111111101001010111101100001100101110101011001000110101101111101111000001110001001001100011)`	`180`
`182`	`10110110`	`0.0(000000101101)`	`12`
`183`	`10110111`	`0.(000000010110011000011110110001101010010100010010001011111001)`	`60`
`184`	`10111000`	`0.000(00001011001)`	`11`
`185`	`10111001`	`0.(000000010110001000111111101001110111)`	`36`

`186`	`10111010`	`0.0(0000001011)`	`10`
`187`	`10111011`	`0.(0000000101011110011101011011101110001101)`	`40`
`188`	`10111100`	`0.00(00000101011100100110001)`	`23`
`189`	`10111101`	`0.(000000010101101011)`	`18`
`190`	`10111110`	`0.0(000000101011000111011010010001100001)`	`36`

`191`	`10111111`	`0.(00000001010101110001111011010011110001010000011010110011100110100010001011011001001000011000001)`	`95`
`192`	`11000000`	`0.000000(01)`	`2`
`193`	`11000001`	`0.(000000010101001110010000100101001000111101000000111111101010110001101111011010110111000010111111)`	`96`
`194`	`11000010`	`0.0(000000101010001110100000111111010101110001011111)`	`48`
`195`	`11000011`	`0.(000000010101)`	`12`

`196`	`11000100`	`0.00(000001010011100101111)`	`21`
`197`	`11000101`	`0.(0000000101001100101010111000100001110010010110101111011011100111010011110100010011011111100000110011111110101100110101010001110111100011011010010100001001000110001011000010111011001000000111110011)`	`196`
`198`	`11000110`	`0.0(000000101001010111111010110101)`	`30`
`199`	`11000111`	`0.(000000010100100101010011100111100011101100101101000001100110111010100010000101110010011111100001001)`	`99`
`200`	`11001000`	`0.000(00001010001111010111)`	`20`