distance units


in base 2
twip thou barleycorn inch hand foot yard chain furlong mile league
twip $1$ $\frac{100100}{11001}$ $111100000$ $10110100000$ $1011010000000$ $100001110000000$ $1100101010000000$ $100010110011100000000$ $101011100000011000000000$ $101011100000011000000000000$ $10000010100001001000000000000$
thou $\frac{11001}{100100}$ $1$ $\frac{1111101000}{11}$ $1111101000$ $111110100000$ $10111011100000$ $1000110010100000$ $11000001010111000000$ $11110001101100110000000$ $11110001101100110000000000$ $1011010101000110010000000000$
barleycorn $\frac{1}{111100000}$ $\frac{11}{1111101000}$ $1$ $11$ $1100$ $100100$ $1101100$ $100101001000$ $101110011010000$ $101110011010000000$ $10001011001110000000$
inch $\frac{1}{10110100000}$ $\frac{1}{1111101000}$ $\frac{1}{11}$ $1$ $100$ $1100$ $100100$ $1100011000$ $1111011110000$ $1111011110000000$ $101110011010000000$
hand $\frac{1}{1011010000000}$ $\frac{1}{111110100000}$ $\frac{1}{1100}$ $\frac{1}{100}$ $1$ $11$ $1001$ $11000110$ $11110111100$ $11110111100000$ $1011100110100000$
foot $\frac{1}{100001110000000}$ $\frac{1}{10111011100000}$ $\frac{1}{100100}$ $\frac{1}{1100}$ $\frac{1}{11}$ $1$ $11$ $1000010$ $1010010100$ $1010010100000$ $11110111100000$
yard $\frac{1}{1100101010000000}$ $\frac{1}{1000110010100000}$ $\frac{1}{1101100}$ $\frac{1}{100100}$ $\frac{1}{1001}$ $\frac{1}{11}$ $1$ $10110$ $11011100$ $11011100000$ $1010010100000$
chain $\frac{1}{100010110011100000000}$ $\frac{1}{11000001010111000000}$ $\frac{1}{100101001000}$ $\frac{1}{1100011000}$ $\frac{1}{11000110}$ $\frac{1}{1000010}$ $\frac{1}{10110}$ $1$ $1010$ $1010000$ $11110000$
furlong $\frac{1}{101011100000011000000000}$ $\frac{1}{11110001101100110000000}$ $\frac{1}{101110011010000}$ $\frac{1}{1111011110000}$ $\frac{1}{11110111100}$ $\frac{1}{1010010100}$ $\frac{1}{11011100}$ $\frac{1}{1010}$ $1$ $1000$ $11000$
mile $\frac{1}{101011100000011000000000000}$ $\frac{1}{11110001101100110000000000}$ $\frac{1}{101110011010000000}$ $\frac{1}{1111011110000000}$ $\frac{1}{11110111100000}$ $\frac{1}{1010010100000}$ $\frac{1}{11011100000}$ $\frac{1}{1010000}$ $\frac{1}{1000}$ $1$ $11$
league $\frac{1}{10000010100001001000000000000}$ $\frac{1}{1011010101000110010000000000}$ $\frac{1}{10001011001110000000}$ $\frac{1}{101110011010000000}$ $\frac{1}{1011100110100000}$ $\frac{1}{11110111100000}$ $\frac{1}{1010010100000}$ $\frac{1}{11110000}$ $\frac{1}{11000}$ $\frac{1}{11}$ $1$


in base 3
twip thou barleycorn inch hand foot yard chain furlong mile league
twip $1$ $\frac{1100}{221}$ $122210$ $1222100$ $21220100$ $212201000$ $2122010000$ $2010221110000$ $210110102110000$ $20100200101120000$ $201002001011200000$
thou $\frac{221}{1100}$ $1$ $\frac{1101001}{10}$ $1101001$ $12111011$ $121110110$ $1211101100$ $1111020102100$ $112220101012100$ $11102020000120200$ $111020200001202000$
barleycorn $\frac{1}{122210}$ $\frac{10}{1101001}$ $1$ $10$ $110$ $1100$ $11000$ $10021000$ $1012121000$ $100122202000$ $1001222020000$
inch $\frac{1}{1222100}$ $\frac{1}{1101001}$ $\frac{1}{10}$ $1$ $11$ $110$ $1100$ $1002100$ $101212100$ $10012220200$ $100122202000$
hand $\frac{1}{21220100}$ $\frac{1}{12111011}$ $\frac{1}{110}$ $\frac{1}{11}$ $1$ $10$ $100$ $21100$ $2201100$ $210201200$ $2102012000$
foot $\frac{1}{212201000}$ $\frac{1}{121110110}$ $\frac{1}{1100}$ $\frac{1}{110}$ $\frac{1}{10}$ $1$ $10$ $2110$ $220110$ $21020120$ $210201200$
yard $\frac{1}{2122010000}$ $\frac{1}{1211101100}$ $\frac{1}{11000}$ $\frac{1}{1100}$ $\frac{1}{100}$ $\frac{1}{10}$ $1$ $211$ $22011$ $2102012$ $21020120$
chain $\frac{1}{2010221110000}$ $\frac{1}{1111020102100}$ $\frac{1}{10021000}$ $\frac{1}{1002100}$ $\frac{1}{21100}$ $\frac{1}{2110}$ $\frac{1}{211}$ $1$ $101$ $2222$ $22220$
furlong $\frac{1}{210110102110000}$ $\frac{1}{112220101012100}$ $\frac{1}{1012121000}$ $\frac{1}{101212100}$ $\frac{1}{2201100}$ $\frac{1}{220110}$ $\frac{1}{22011}$ $\frac{1}{101}$ $1$ $22$ $220$
mile $\frac{1}{20100200101120000}$ $\frac{1}{11102020000120200}$ $\frac{1}{100122202000}$ $\frac{1}{10012220200}$ $\frac{1}{210201200}$ $\frac{1}{21020120}$ $\frac{1}{2102012}$ $\frac{1}{2222}$ $\frac{1}{22}$ $1$ $10$
league $\frac{1}{201002001011200000}$ $\frac{1}{111020200001202000}$ $\frac{1}{1001222020000}$ $\frac{1}{100122202000}$ $\frac{1}{2102012000}$ $\frac{1}{210201200}$ $\frac{1}{21020120}$ $\frac{1}{22220}$ $\frac{1}{220}$ $\frac{1}{10}$ $1$


in base 4
twip thou barleycorn inch hand foot yard chain furlong mile league
twip $1$ $\frac{210}{121}$ $13200$ $112200$ $1122000$ $10032000$ $30222000$ $10112130000$ $223200120000$ $11130003000000$ $100110021000000$
thou $\frac{121}{210}$ $1$ $\frac{33220}{3}$ $33220$ $332200$ $2323200$ $20302200$ $3001113000$ $132031212000$ $3301230300000$ $23111012100000$
barleycorn $\frac{1}{13200}$ $\frac{3}{33220}$ $1$ $3$ $30$ $210$ $1230$ $211020$ $11303100$ $232122000$ $2023032000$
inch $\frac{1}{112200}$ $\frac{1}{33220}$ $\frac{1}{3}$ $1$ $10$ $30$ $210$ $30120$ $1323300$ $33132000$ $232122000$
hand $\frac{1}{1122000}$ $\frac{1}{332200}$ $\frac{1}{30}$ $\frac{1}{10}$ $1$ $3$ $21$ $3012$ $132330$ $3313200$ $23212200$
foot $\frac{1}{10032000}$ $\frac{1}{2323200}$ $\frac{1}{210}$ $\frac{1}{30}$ $\frac{1}{3}$ $1$ $3$ $1002$ $22110$ $1102200$ $3313200$
yard $\frac{1}{30222000}$ $\frac{1}{20302200}$ $\frac{1}{1230}$ $\frac{1}{210}$ $\frac{1}{21}$ $\frac{1}{3}$ $1$ $112$ $3130$ $123200$ $1102200$
chain $\frac{1}{10112130000}$ $\frac{1}{3001113000}$ $\frac{1}{211020}$ $\frac{1}{30120}$ $\frac{1}{3012}$ $\frac{1}{1002}$ $\frac{1}{112}$ $1$ $22$ $1100$ $3300$
furlong $\frac{1}{223200120000}$ $\frac{1}{132031212000}$ $\frac{1}{11303100}$ $\frac{1}{1323300}$ $\frac{1}{132330}$ $\frac{1}{22110}$ $\frac{1}{3130}$ $\frac{1}{22}$ $1$ $20$ $120$
mile $\frac{1}{11130003000000}$ $\frac{1}{3301230300000}$ $\frac{1}{232122000}$ $\frac{1}{33132000}$ $\frac{1}{3313200}$ $\frac{1}{1102200}$ $\frac{1}{123200}$ $\frac{1}{1100}$ $\frac{1}{20}$ $1$ $3$
league $\frac{1}{100110021000000}$ $\frac{1}{23111012100000}$ $\frac{1}{2023032000}$ $\frac{1}{232122000}$ $\frac{1}{23212200}$ $\frac{1}{3313200}$ $\frac{1}{1102200}$ $\frac{1}{3300}$ $\frac{1}{120}$ $\frac{1}{3}$ $1$


in base 5
twip thou barleycorn inch hand foot yard chain furlong mile league
twip $1$ $\frac{121}{100}$ $3410$ $21230$ $141020$ $1023110$ $3124330$ $242443410$ $10404423200$ $141324112100$ $1030032341300$
thou $\frac{100}{121}$ $1$ $\frac{13000}{3}$ $13000$ $112000$ $341000$ $2123000$ $200321000$ $4011420000$ $112210010000$ $342130030000$
barleycorn $\frac{1}{3410}$ $\frac{3}{13000}$ $1$ $3$ $22$ $121$ $413$ $34001$ $1230020$ $22040310$ $121221430$
inch $\frac{1}{21230}$ $\frac{1}{13000}$ $\frac{1}{3}$ $1$ $4$ $22$ $121$ $11132$ $223140$ $4011420$ $22040310$
hand $\frac{1}{141020}$ $\frac{1}{112000}$ $\frac{1}{22}$ $\frac{1}{4}$ $1$ $3$ $14$ $1243$ $30410$ $1001330$ $3010040$
foot $\frac{1}{1023110}$ $\frac{1}{341000}$ $\frac{1}{121}$ $\frac{1}{22}$ $\frac{1}{3}$ $1$ $3$ $231$ $10120$ $132110$ $1001330$
yard $\frac{1}{3124330}$ $\frac{1}{2123000}$ $\frac{1}{413}$ $\frac{1}{121}$ $\frac{1}{14}$ $\frac{1}{3}$ $1$ $42$ $1340$ $24020$ $132110$
chain $\frac{1}{242443410}$ $\frac{1}{200321000}$ $\frac{1}{34001}$ $\frac{1}{11132}$ $\frac{1}{1243}$ $\frac{1}{231}$ $\frac{1}{42}$ $1$ $20$ $310$ $1430$
furlong $\frac{1}{10404423200}$ $\frac{1}{4011420000}$ $\frac{1}{1230020}$ $\frac{1}{223140}$ $\frac{1}{30410}$ $\frac{1}{10120}$ $\frac{1}{1340}$ $\frac{1}{20}$ $1$ $13$ $44$
mile $\frac{1}{141324112100}$ $\frac{1}{112210010000}$ $\frac{1}{22040310}$ $\frac{1}{4011420}$ $\frac{1}{1001330}$ $\frac{1}{132110}$ $\frac{1}{24020}$ $\frac{1}{310}$ $\frac{1}{13}$ $1$ $3$
league $\frac{1}{1030032341300}$ $\frac{1}{342130030000}$ $\frac{1}{121221430}$ $\frac{1}{22040310}$ $\frac{1}{3010040}$ $\frac{1}{1001330}$ $\frac{1}{132110}$ $\frac{1}{1430}$ $\frac{1}{44}$ $\frac{1}{3}$ $1$


in base 6
twip thou barleycorn inch hand foot yard chain furlong mile league
twip $1$ $\frac{100}{41}$ $2120$ $10400$ $42400$ $212000$ $1040000$ $40240000$ $1044240000$ $13015320000$ $43054400000$
thou $\frac{41}{100}$ $1$ $\frac{4344}{3}$ $4344$ $30304$ $131320$ $434400$ $24550400$ $441430400$ $10142005200$ $30510024000$
barleycorn $\frac{1}{2120}$ $\frac{3}{4344}$ $1$ $3$ $20$ $100$ $300$ $15000$ $302000$ $4024000$ $20120000$
inch $\frac{1}{10400}$ $\frac{1}{4344}$ $\frac{1}{3}$ $1$ $4$ $20$ $100$ $3400$ $100400$ $1205200$ $4024000$
hand $\frac{1}{42400}$ $\frac{1}{30304}$ $\frac{1}{20}$ $\frac{1}{4}$ $1$ $3$ $13$ $530$ $13100$ $201200$ $1004000$
foot $\frac{1}{212000}$ $\frac{1}{131320}$ $\frac{1}{100}$ $\frac{1}{20}$ $\frac{1}{3}$ $1$ $3$ $150$ $3020$ $40240$ $201200$
yard $\frac{1}{1040000}$ $\frac{1}{434400}$ $\frac{1}{300}$ $\frac{1}{100}$ $\frac{1}{13}$ $\frac{1}{3}$ $1$ $34$ $1004$ $12052$ $40240$
chain $\frac{1}{40240000}$ $\frac{1}{24550400}$ $\frac{1}{15000}$ $\frac{1}{3400}$ $\frac{1}{530}$ $\frac{1}{150}$ $\frac{1}{34}$ $1$ $14$ $212$ $1040$
furlong $\frac{1}{1044240000}$ $\frac{1}{441430400}$ $\frac{1}{302000}$ $\frac{1}{100400}$ $\frac{1}{13100}$ $\frac{1}{3020}$ $\frac{1}{1004}$ $\frac{1}{14}$ $1$ $12$ $40$
mile $\frac{1}{13015320000}$ $\frac{1}{10142005200}$ $\frac{1}{4024000}$ $\frac{1}{1205200}$ $\frac{1}{201200}$ $\frac{1}{40240}$ $\frac{1}{12052}$ $\frac{1}{212}$ $\frac{1}{12}$ $1$ $3$
league $\frac{1}{43054400000}$ $\frac{1}{30510024000}$ $\frac{1}{20120000}$ $\frac{1}{4024000}$ $\frac{1}{1004000}$ $\frac{1}{201200}$ $\frac{1}{40240}$ $\frac{1}{1040}$ $\frac{1}{40}$ $\frac{1}{3}$ $1$


in base 10
twip thou barleycorn inch hand foot yard chain furlong mile league
twip $1$ $\frac{36}{25}$ $480$ $1440$ $5760$ $17280$ $51840$ $1140480$ $11404800$ $91238400$ $273715200$
thou $\frac{25}{36}$ $1$ $\frac{1000}{3}$ $1000$ $4000$ $12000$ $36000$ $792000$ $7920000$ $63360000$ $190080000$
barleycorn $\frac{1}{480}$ $\frac{3}{1000}$ $1$ $3$ $12$ $36$ $108$ $2376$ $23760$ $190080$ $570240$
inch $\frac{1}{1440}$ $\frac{1}{1000}$ $\frac{1}{3}$ $1$ $4$ $12$ $36$ $792$ $7920$ $63360$ $190080$
hand $\frac{1}{5760}$ $\frac{1}{4000}$ $\frac{1}{12}$ $\frac{1}{4}$ $1$ $3$ $9$ $198$ $1980$ $15840$ $47520$
foot $\frac{1}{17280}$ $\frac{1}{12000}$ $\frac{1}{36}$ $\frac{1}{12}$ $\frac{1}{3}$ $1$ $3$ $66$ $660$ $5280$ $15840$
yard $\frac{1}{51840}$ $\frac{1}{36000}$ $\frac{1}{108}$ $\frac{1}{36}$ $\frac{1}{9}$ $\frac{1}{3}$ $1$ $22$ $220$ $1760$ $5280$
chain $\frac{1}{1140480}$ $\frac{1}{792000}$ $\frac{1}{2376}$ $\frac{1}{792}$ $\frac{1}{198}$ $\frac{1}{66}$ $\frac{1}{22}$ $1$ $10$ $80$ $240$
furlong $\frac{1}{11404800}$ $\frac{1}{7920000}$ $\frac{1}{23760}$ $\frac{1}{7920}$ $\frac{1}{1980}$ $\frac{1}{660}$ $\frac{1}{220}$ $\frac{1}{10}$ $1$ $8$ $24$
mile $\frac{1}{91238400}$ $\frac{1}{63360000}$ $\frac{1}{190080}$ $\frac{1}{63360}$ $\frac{1}{15840}$ $\frac{1}{5280}$ $\frac{1}{1760}$ $\frac{1}{80}$ $\frac{1}{8}$ $1$ $3$
league $\frac{1}{273715200}$ $\frac{1}{190080000}$ $\frac{1}{570240}$ $\frac{1}{190080}$ $\frac{1}{47520}$ $\frac{1}{15840}$ $\frac{1}{5280}$ $\frac{1}{240}$ $\frac{1}{24}$ $\frac{1}{3}$ $1$


in base 12
twip thou barleycorn inch hand foot yard chain furlong mile league
twip $1$ $\frac{30}{21}$ $340$ $a00$ $3400$ $a000$ $26000$ $470000$ $39a0000$ $26680000$ $77800000$
thou $\frac{21}{30}$ $1$ $\frac{6b4}{3}$ $6b4$ $2394$ $6b40$ $18a00$ $322400$ $279b400$ $19276800$ $537a8000$
barleycorn $\frac{1}{340}$ $\frac{3}{6b4}$ $1$ $3$ $10$ $30$ $90$ $1460$ $11900$ $92000$ $236000$
inch $\frac{1}{a00}$ $\frac{1}{6b4}$ $\frac{1}{3}$ $1$ $4$ $10$ $30$ $560$ $4700$ $30800$ $92000$
hand $\frac{1}{3400}$ $\frac{1}{2394}$ $\frac{1}{10}$ $\frac{1}{4}$ $1$ $3$ $9$ $146$ $1190$ $9200$ $23600$
foot $\frac{1}{a000}$ $\frac{1}{6b40}$ $\frac{1}{30}$ $\frac{1}{10}$ $\frac{1}{3}$ $1$ $3$ $56$ $470$ $3080$ $9200$
yard $\frac{1}{26000}$ $\frac{1}{18a00}$ $\frac{1}{90}$ $\frac{1}{30}$ $\frac{1}{9}$ $\frac{1}{3}$ $1$ $1a$ $164$ $1028$ $3080$
chain $\frac{1}{470000}$ $\frac{1}{322400}$ $\frac{1}{1460}$ $\frac{1}{560}$ $\frac{1}{146}$ $\frac{1}{56}$ $\frac{1}{1a}$ $1$ $a$ $68$ $180$
furlong $\frac{1}{39a0000}$ $\frac{1}{279b400}$ $\frac{1}{11900}$ $\frac{1}{4700}$ $\frac{1}{1190}$ $\frac{1}{470}$ $\frac{1}{164}$ $\frac{1}{a}$ $1$ $8$ $20$
mile $\frac{1}{26680000}$ $\frac{1}{19276800}$ $\frac{1}{92000}$ $\frac{1}{30800}$ $\frac{1}{9200}$ $\frac{1}{3080}$ $\frac{1}{1028}$ $\frac{1}{68}$ $\frac{1}{8}$ $1$ $3$
league $\frac{1}{77800000}$ $\frac{1}{537a8000}$ $\frac{1}{236000}$ $\frac{1}{92000}$ $\frac{1}{23600}$ $\frac{1}{9200}$ $\frac{1}{3080}$ $\frac{1}{180}$ $\frac{1}{20}$ $\frac{1}{3}$ $1$


area units


in base 2
perch rood acre square mile
perch $1$ $\frac{1010101000101}{100010}$ $\frac{10101010001010}{10001}$ $\frac{11010100101100100000000}{10001}$
rood $\frac{100010}{1010101000101}$ $1$ $100$ $101000000000$
acre $\frac{10001}{10101010001010}$ $\frac{1}{100}$ $1$ $1010000000$
square mile $\frac{10001}{11010100101100100000000}$ $\frac{1}{101000000000}$ $\frac{1}{1010000000}$ $1$


in base 3
perch rood acre square mile
perch $1$ $\frac{21110200}{1021}$ $\frac{112221100}{122}$ $\frac{111010002111100}{122}$
rood $\frac{1021}{21110200}$ $1$ $11$ $10111211$
acre $\frac{122}{112221100}$ $\frac{1}{11}$ $1$ $212201$
square mile $\frac{122}{111010002111100}$ $\frac{1}{10111211}$ $\frac{1}{212201}$ $1$


in base 4
perch rood acre square mile
perch $1$ $\frac{1111011}{202}$ $\frac{2222022}{101}$ $\frac{122211210000}{101}$
rood $\frac{202}{1111011}$ $1$ $10$ $220000$
acre $\frac{101}{2222022}$ $\frac{1}{10}$ $1$ $22000$
square mile $\frac{101}{122211210000}$ $\frac{1}{220000}$ $\frac{1}{22000}$ $1$


in base 5
perch rood acre square mile
perch $1$ $\frac{133240}{114}$ $\frac{322030}{32}$ $\frac{3241011400}{32}$
rood $\frac{114}{133240}$ $1$ $4$ $40220$
acre $\frac{32}{322030}$ $\frac{1}{4}$ $1$ $10030$
square mile $\frac{32}{3241011400}$ $\frac{1}{40220}$ $\frac{1}{10030}$ $1$


in base 6
perch rood acre square mile
perch $1$ $\frac{41113}{54}$ $\frac{122230}{25}$ $\frac{405214400}{25}$
rood $\frac{54}{41113}$ $1$ $4$ $15504$
acre $\frac{25}{122230}$ $\frac{1}{4}$ $1$ $2544$
square mile $\frac{25}{405214400}$ $\frac{1}{15504}$ $\frac{1}{2544}$ $1$


in base 10
perch rood acre square mile
perch $1$ $\frac{5445}{34}$ $\frac{10890}{17}$ $\frac{6969600}{17}$
rood $\frac{34}{5445}$ $1$ $4$ $2560$
acre $\frac{17}{10890}$ $\frac{1}{4}$ $1$ $640$
square mile $\frac{17}{6969600}$ $\frac{1}{2560}$ $\frac{1}{640}$ $1$


in base 12
perch rood acre square mile
perch $1$ $\frac{3199}{2a}$ $\frac{6376}{15}$ $\frac{2401400}{15}$
rood $\frac{2a}{3199}$ $1$ $4$ $1594$
acre $\frac{15}{6376}$ $\frac{1}{4}$ $1$ $454$
square mile $\frac{15}{2401400}$ $\frac{1}{1594}$ $\frac{1}{454}$ $1$


volume units


in base 2
fluid ounce gil pint quart gallon
fluid ounce $1$ $101$ $10100$ $101000$ $10100000$
gil $\frac{1}{101}$ $1$ $100$ $1000$ $100000$
pint $\frac{1}{10100}$ $\frac{1}{100}$ $1$ $10$ $1000$
quart $\frac{1}{101000}$ $\frac{1}{1000}$ $\frac{1}{10}$ $1$ $100$
gallon $\frac{1}{10100000}$ $\frac{1}{100000}$ $\frac{1}{1000}$ $\frac{1}{100}$ $1$


in base 3
fluid ounce gil pint quart gallon
fluid ounce $1$ $12$ $202$ $1111$ $12221$
gil $\frac{1}{12}$ $1$ $11$ $22$ $1012$
pint $\frac{1}{202}$ $\frac{1}{11}$ $1$ $2$ $22$
quart $\frac{1}{1111}$ $\frac{1}{22}$ $\frac{1}{2}$ $1$ $11$
gallon $\frac{1}{12221}$ $\frac{1}{1012}$ $\frac{1}{22}$ $\frac{1}{11}$ $1$


in base 4
fluid ounce gil pint quart gallon
fluid ounce $1$ $11$ $110$ $220$ $2200$
gil $\frac{1}{11}$ $1$ $10$ $20$ $200$
pint $\frac{1}{110}$ $\frac{1}{10}$ $1$ $2$ $20$
quart $\frac{1}{220}$ $\frac{1}{20}$ $\frac{1}{2}$ $1$ $10$
gallon $\frac{1}{2200}$ $\frac{1}{200}$ $\frac{1}{20}$ $\frac{1}{10}$ $1$


in base 5
fluid ounce gil pint quart gallon
fluid ounce $1$ $10$ $40$ $130$ $1120$
gil $\frac{1}{10}$ $1$ $4$ $13$ $112$
pint $\frac{1}{40}$ $\frac{1}{4}$ $1$ $2$ $13$
quart $\frac{1}{130}$ $\frac{1}{13}$ $\frac{1}{2}$ $1$ $4$
gallon $\frac{1}{1120}$ $\frac{1}{112}$ $\frac{1}{13}$ $\frac{1}{4}$ $1$


in base 6
fluid ounce gil pint quart gallon
fluid ounce $1$ $5$ $32$ $104$ $424$
gil $\frac{1}{5}$ $1$ $4$ $12$ $52$
pint $\frac{1}{32}$ $\frac{1}{4}$ $1$ $2$ $12$
quart $\frac{1}{104}$ $\frac{1}{12}$ $\frac{1}{2}$ $1$ $4$
gallon $\frac{1}{424}$ $\frac{1}{52}$ $\frac{1}{12}$ $\frac{1}{4}$ $1$


in base 10
fluid ounce gil pint quart gallon
fluid ounce $1$ $5$ $20$ $40$ $160$
gil $\frac{1}{5}$ $1$ $4$ $8$ $32$
pint $\frac{1}{20}$ $\frac{1}{4}$ $1$ $2$ $8$
quart $\frac{1}{40}$ $\frac{1}{8}$ $\frac{1}{2}$ $1$ $4$
gallon $\frac{1}{160}$ $\frac{1}{32}$ $\frac{1}{8}$ $\frac{1}{4}$ $1$


in base 12
fluid ounce gil pint quart gallon
fluid ounce $1$ $5$ $18$ $34$ $114$
gil $\frac{1}{5}$ $1$ $4$ $8$ $28$
pint $\frac{1}{18}$ $\frac{1}{4}$ $1$ $2$ $8$
quart $\frac{1}{34}$ $\frac{1}{8}$ $\frac{1}{2}$ $1$ $4$
gallon $\frac{1}{114}$ $\frac{1}{28}$ $\frac{1}{8}$ $\frac{1}{4}$ $1$


weight


in base 2
grain drachm ounce pound stone quarter hundredweight ton
grain $1$ $\frac{1101101011}{100000}$ $\frac{1101101011}{10}$ $1101101011000$ $10111111011010000$ $101111110110100000$ $10111111011010000000$ $111011110100001000000000$
drachm $\frac{100000}{1101101011}$ $1$ $10000$ $100000000$ $111000000000$ $1110000000000$ $111000000000000$ $10001100000000000000$
ounce $\frac{10}{1101101011}$ $\frac{1}{10000}$ $1$ $10000$ $11100000$ $111000000$ $11100000000$ $1000110000000000$
pound $\frac{1}{1101101011000}$ $\frac{1}{100000000}$ $\frac{1}{10000}$ $1$ $1110$ $11100$ $1110000$ $100011000000$
stone $\frac{1}{10111111011010000}$ $\frac{1}{111000000000}$ $\frac{1}{11100000}$ $\frac{1}{1110}$ $1$ $10$ $1000$ $10100000$
quarter $\frac{1}{101111110110100000}$ $\frac{1}{1110000000000}$ $\frac{1}{111000000}$ $\frac{1}{11100}$ $\frac{1}{10}$ $1$ $100$ $1010000$
hundredweight $\frac{1}{10111111011010000000}$ $\frac{1}{111000000000000}$ $\frac{1}{11100000000}$ $\frac{1}{1110000}$ $\frac{1}{1000}$ $\frac{1}{100}$ $1$ $10100$
ton $\frac{1}{111011110100001000000000}$ $\frac{1}{10001100000000000000}$ $\frac{1}{1000110000000000}$ $\frac{1}{100011000000}$ $\frac{1}{10100000}$ $\frac{1}{1010000}$ $\frac{1}{10100}$ $1$


in base 3
grain drachm ounce pound stone quarter hundredweight ton
grain $1$ $\frac{1012102}{1012}$ $\frac{1012102}{2}$ $100121021$ $11222102122$ $100221212021$ $1110211110001$ $1002111121220202$
drachm $\frac{1012}{1012102}$ $1$ $121$ $100111$ $11220202$ $100211111$ $1110022221$ $1002010121112$
ounce $\frac{2}{1012102}$ $\frac{1}{121}$ $1$ $121$ $22022$ $121121$ $2110101$ $1211011102$
pound $\frac{1}{100121021}$ $\frac{1}{100111}$ $\frac{1}{121}$ $1$ $112$ $1001$ $11011$ $10001222$
stone $\frac{1}{11222102122}$ $\frac{1}{11220202}$ $\frac{1}{22022}$ $\frac{1}{112}$ $1$ $2$ $22$ $12221$
quarter $\frac{1}{100221212021}$ $\frac{1}{100211111}$ $\frac{1}{121121}$ $\frac{1}{1001}$ $\frac{1}{2}$ $1$ $11$ $2222$
hundredweight $\frac{1}{1110211110001}$ $\frac{1}{1110022221}$ $\frac{1}{2110101}$ $\frac{1}{11011}$ $\frac{1}{22}$ $\frac{1}{11}$ $1$ $202$
ton $\frac{1}{1002111121220202}$ $\frac{1}{1002010121112}$ $\frac{1}{1211011102}$ $\frac{1}{10001222}$ $\frac{1}{12221}$ $\frac{1}{2222}$ $\frac{1}{202}$ $1$


in base 4
grain drachm ounce pound stone quarter hundredweight ton
grain $1$ $\frac{31223}{200}$ $\frac{31223}{2}$ $1231120$ $113323100$ $233312200$ $2333122000$ $323310020000$
drachm $\frac{200}{31223}$ $1$ $100$ $10000$ $320000$ $1300000$ $13000000$ $2030000000$
ounce $\frac{2}{31223}$ $\frac{1}{100}$ $1$ $100$ $3200$ $13000$ $130000$ $20300000$
pound $\frac{1}{1231120}$ $\frac{1}{10000}$ $\frac{1}{100}$ $1$ $32$ $130$ $1300$ $203000$
stone $\frac{1}{113323100}$ $\frac{1}{320000}$ $\frac{1}{3200}$ $\frac{1}{32}$ $1$ $2$ $20$ $2200$
quarter $\frac{1}{233312200}$ $\frac{1}{1300000}$ $\frac{1}{13000}$ $\frac{1}{130}$ $\frac{1}{2}$ $1$ $10$ $1100$
hundredweight $\frac{1}{2333122000}$ $\frac{1}{13000000}$ $\frac{1}{130000}$ $\frac{1}{1300}$ $\frac{1}{20}$ $\frac{1}{10}$ $1$ $110$
ton $\frac{1}{323310020000}$ $\frac{1}{2030000000}$ $\frac{1}{20300000}$ $\frac{1}{203000}$ $\frac{1}{2200}$ $\frac{1}{1100}$ $\frac{1}{110}$ $1$


in base 5
grain drachm ounce pound stone quarter hundredweight ton
grain $1$ $\frac{12000}{112}$ $\frac{12000}{2}$ $211000$ $11114000$ $22233000$ $200042000$ $13003230000$
drachm $\frac{112}{12000}$ $1$ $31$ $2011$ $103314$ $212133$ $1404142$ $121322230$
ounce $\frac{2}{12000}$ $\frac{1}{31}$ $1$ $31$ $1344$ $3243$ $24132$ $2121330$
pound $\frac{1}{211000}$ $\frac{1}{2011}$ $\frac{1}{31}$ $1$ $24$ $103$ $422$ $32430$
stone $\frac{1}{11114000}$ $\frac{1}{103314}$ $\frac{1}{1344}$ $\frac{1}{24}$ $1$ $2$ $13$ $1120$
quarter $\frac{1}{22233000}$ $\frac{1}{212133}$ $\frac{1}{3243}$ $\frac{1}{103}$ $\frac{1}{2}$ $1$ $4$ $310$
hundredweight $\frac{1}{200042000}$ $\frac{1}{1404142}$ $\frac{1}{24132}$ $\frac{1}{422}$ $\frac{1}{13}$ $\frac{1}{4}$ $1$ $40$
ton $\frac{1}{13003230000}$ $\frac{1}{121322230}$ $\frac{1}{2121330}$ $\frac{1}{32430}$ $\frac{1}{1120}$ $\frac{1}{310}$ $\frac{1}{40}$ $1$


in base 6
grain drachm ounce pound stone quarter hundredweight ton
grain $1$ $\frac{4015}{52}$ $\frac{4015}{2}$ $52224$ $2033412$ $4111224$ $24445344$ $1320024332$
drachm $\frac{52}{4015}$ $1$ $24$ $1104$ $24332$ $53104$ $340424$ $20142452$
ounce $\frac{2}{4015}$ $\frac{1}{24}$ $1$ $24$ $1012$ $2024$ $12144$ $433532$
pound $\frac{1}{52224}$ $\frac{1}{1104}$ $\frac{1}{24}$ $1$ $22$ $44$ $304$ $14212$
stone $\frac{1}{2033412}$ $\frac{1}{24332}$ $\frac{1}{1012}$ $\frac{1}{22}$ $1$ $2$ $12$ $424$
quarter $\frac{1}{4111224}$ $\frac{1}{53104}$ $\frac{1}{2024}$ $\frac{1}{44}$ $\frac{1}{2}$ $1$ $4$ $212$
hundredweight $\frac{1}{24445344}$ $\frac{1}{340424}$ $\frac{1}{12144}$ $\frac{1}{304}$ $\frac{1}{12}$ $\frac{1}{4}$ $1$ $32$
ton $\frac{1}{1320024332}$ $\frac{1}{20142452}$ $\frac{1}{433532}$ $\frac{1}{14212}$ $\frac{1}{424}$ $\frac{1}{212}$ $\frac{1}{32}$ $1$


in base 10
grain drachm ounce pound stone quarter hundredweight ton
grain $1$ $\frac{875}{32}$ $\frac{875}{2}$ $7000$ $98000$ $196000$ $784000$ $15680000$
drachm $\frac{32}{875}$ $1$ $16$ $256$ $3584$ $7168$ $28672$ $573440$
ounce $\frac{2}{875}$ $\frac{1}{16}$ $1$ $16$ $224$ $448$ $1792$ $35840$
pound $\frac{1}{7000}$ $\frac{1}{256}$ $\frac{1}{16}$ $1$ $14$ $28$ $112$ $2240$
stone $\frac{1}{98000}$ $\frac{1}{3584}$ $\frac{1}{224}$ $\frac{1}{14}$ $1$ $2$ $8$ $160$
quarter $\frac{1}{196000}$ $\frac{1}{7168}$ $\frac{1}{448}$ $\frac{1}{28}$ $\frac{1}{2}$ $1$ $4$ $80$
hundredweight $\frac{1}{784000}$ $\frac{1}{28672}$ $\frac{1}{1792}$ $\frac{1}{112}$ $\frac{1}{8}$ $\frac{1}{4}$ $1$ $20$
ton $\frac{1}{15680000}$ $\frac{1}{573440}$ $\frac{1}{35840}$ $\frac{1}{2240}$ $\frac{1}{160}$ $\frac{1}{80}$ $\frac{1}{20}$ $1$


in base 12
grain drachm ounce pound stone quarter hundredweight ton
grain $1$ $\frac{60b}{28}$ $\frac{60b}{2}$ $4074$ $48868$ $95514$ $319854$ $53020a8$
drachm $\frac{28}{60b}$ $1$ $14$ $194$ $20a8$ $4194$ $14714$ $237a28$
ounce $\frac{2}{60b}$ $\frac{1}{14}$ $1$ $14$ $168$ $314$ $1054$ $188a8$
pound $\frac{1}{4074}$ $\frac{1}{194}$ $\frac{1}{14}$ $1$ $12$ $24$ $94$ $1368$
stone $\frac{1}{48868}$ $\frac{1}{20a8}$ $\frac{1}{168}$ $\frac{1}{12}$ $1$ $2$ $8$ $114$
quarter $\frac{1}{95514}$ $\frac{1}{4194}$ $\frac{1}{314}$ $\frac{1}{24}$ $\frac{1}{2}$ $1$ $4$ $68$
hundredweight $\frac{1}{319854}$ $\frac{1}{14714}$ $\frac{1}{1054}$ $\frac{1}{94}$ $\frac{1}{8}$ $\frac{1}{4}$ $1$ $18$
ton $\frac{1}{53020a8}$ $\frac{1}{237a28}$ $\frac{1}{188a8}$ $\frac{1}{1368}$ $\frac{1}{114}$ $\frac{1}{68}$ $\frac{1}{18}$ $1$