Feng Shui/Xuan Kong Da Gua/Binary Representation of the 64 Hexagrams

Binary Representation of the 64 Hexagrams The following table transposes the circular arrangement of the hexagrams in a Luopan into a tabular form, where "GN" represents the Gua Number of a hexagram "Gua" is the hexagram itself "English" is the translation of the name of the hexagram "CN" is the order (Circular Number) of the hexagram, starting from 0 degrees to 360 degrees, on the concentric circle that lists the hexagrams on the Luopan. "Pinyin" is the transliteration of the Chinese name of the hexagram "SC" is the name of the hexagram in Simplified Chinese "Sector" is the sector, measured in degrees from North in a clockwise direction, where the hexagram is found on the concentric circle that lists the hexagrams on the Luopan "TC" is the name of the hexagram in Traditional Chinese "Binary Rep." is the binary representation of a Gua, where "1" represents a Yang line (an unbroken line) and "0" represents a Yin line (a broken line). A line is called a "Yao" in Chinese. "N" refers to the number assigned to the upper trigram of each hexagram, in the order Kun (1), Xun (2), Li (3), Dui (4), Gen (6), Kan (7), Zhen (8) and Qian (9). Kun is represented by 3 broken lines, and Qian is represented by 3 unbroken lines. In Chinese, the column "N" is known as the "五行" column. "M" refers to the outer circle of numbers assigned to each hexagram in a Luopan. In Chinese, the column "M" is known as the "卦运" column. "HS" refers to the "Heavenly Stem" notation of Ba Zi. In Chinese, this is known as the "天干" column. "EB" refers to the "Earthly Branch" notation of Ba Zi. In Chinese, this is known as the "地支" column. "GR" is the group under which a hexagram belongs. There are a total of eight groups/trigrams. Hexagrams are grouped by their respective lower trigram. These trigrams are also used in the I Ching, where Zhen represents Thunder, Qian represents Heaven, Kun represents Earth, etc. GNGuaEnglishCNPinyinSCSector (deg)°TCBinaryRep.NMHSEBGR24䷗Turning Back01fù复0 to 5.625復 00000118H1E1Zhen27䷚Nourishing02yí颐5.625 to 11.25頤 10000163H3E1Zhen03䷂Beginning03zhūn屯11.25 to 16.875屯 01000174H5E1Zhen42䷩Increasing04yì益16.875 to 22.5益 11000129H7E1Zhen51䷲Taking Action05zhèn震22.5 to 28.125震 00100181H9E1Zhen21䷔Eradicating06shì kè噬嗑28.125 to 33.75噬嗑10100136H2E4Zhen17䷐Following07suí随33.75 to 39.375隨 01100147H4E2Zhen25䷘Without Falsehood08wú wàng无妄39.375 to 45無妄11100192H6E9Zhen36䷣Brilliance Injured09míng yí明夷45 to 50.625明夷00010113H8E2Li22䷕Adorning10bì贲50.625 to 56.25賁 10010168H10E2Li63䷾Already Fulfilled11jì jì既济56.25 to 61.875既濟01010179H1E3Li37䷤Household12jiā rén家人61.875 to 67.5家人11010124H3E3Li55䷶Abundance13fēng丰67.5 to 73.125豐 00110186H5E3Li30䷝Brightness14lí离73.125 to 78.75離 10110131H7E3Li49䷰Abolishing The Old15gé革78.75 to 84.375革 01110142H7E3Li13䷌Seeking Harmony16tóng rén同人84.375 to 90同人11110197H9E3Li19䷒Approaching17lín临90 to 95.625臨 00001114H2E4Dui41䷨Decreasing18sǔn损95.625 to 101.25損 10001169H4E4Dui60䷻Restricting19jié节101.25 to 106.875節 01001178H6E4Dui61䷼Innermost Sincerity20zhōng fú中孚106.875 to 112.5中孚11001123H8E4Dui54䷵Marrying Maiden21guī mèi归妹112.5 to 118.125歸妹00101187H10E4Dui38䷥Diversity22kuí睽118.125 to 123.75睽 10101132H1E5Dui58䷹Joyful23duì兑123.75 to 129.375兌 01101141H3E5Dui10䷉Fulfillment24lǚ履129.375 to 135履 11101196H5E5Dui11䷊Advance25tài泰135 to 140.625泰 00011119H7E5Qian26䷙Great Accumulation26dà chù大畜140.625 to 146.25大畜10011164H9E5Qian05䷄Needing27xū需146.25 to 151.875需 01011173H2E6Qian09䷈Little Accumulation28xiǎo chù小畜151.875 to 157.5小畜11011128H4E6Qian34䷡Great Strength29dà zhuàng大壮157.5 to 163.125大壯00111182H6E6Qian14䷍Great Harvest30dà yǒu大有163.125 to 168.75大有10111137H8E6Qian43䷪Eliminating31guài夬168.75 to 174.375夬 01111146H10E6Qian01䷀Initiating32qián乾174.375 to 180乾 11111191H1E7Qian44䷫Encountering33gòu姤180 to 185.625姤 11111098H1E7Xun28䷛Great Exceeding34dà guò大过185.625 to 191.25大過01111043H3E7Xun50䷱Establishing The New35dǐng鼎191.25 to 196.875鼎 10111034H5E7Xun32䷟Long Lasting36héng恒196.875 to 202.5恆 00111089H7E7Xun57䷸Proceeding Humbly37xùn巽202.5 to 208.125巽 11011021H9E7Xun48䷯Replenishing38jǐng井208.125 to 213.75井 01011076H2E8Xun18䷑Remedying39gǔ蛊213.75 to 219.375蠱 10011067H4E8Xun46䷭Growing Upward40shēng升219.375 to 225升 00011012H6E8Xun06䷅Contention41sòng讼225 to 230.625訟 11101093H8E8Kan47䷮Exhausting42kùn困230.625 to 236.25困 01101048H10E8Kan64䷿Not Yet Fulfilled43wèi jì未济236.25 to 241.875未濟10101039H1E9Kan40䷧Relief44xiè解241.875 to 247.5解 00101084H3E9Kan59䷺Dispersing45huàn涣247.5 to 253.125渙 11001026H5E9Kan29䷜Darkness46kǎn坎253.125 to 258.75坎 01001071H7E9Kan04䷃Childhood47méng蒙258.75 to 264.375蒙 10001062H7E9Kan07䷆Multitude48shī师264.375 to 270師 00001017H9E9Kan33䷠Retreat49dùn遯270 to 275.625遯 11110094H2E10Gen31䷞Mutual Influence50xián咸275.625 to 281.25咸 01110049H4E10Gen56䷷Travelling51lǚ旅281.25 to 286.875旅 10110038H6E10Gen62䷽Little Exceeding52xiǎo guò小过286.875 to 292.5小過00110083H8E10Gen53䷴Developing Gradually53jiàn渐292.5 to 298.125漸 11010027H10E10Gen39䷦Hardship54jiǎn蹇298.125 to 303.75蹇 01010072H1E11Gen52䷳Keeping Still55gèn艮303.75 to 309.375艮 10010061H3E11Gen15䷎Humbleness56qiān谦309.375 to 315謙 00010016H5E11Gen12䷋Hindrance57pǐ否315 to 320.625否 11100099H7E11Kun45䷬Bringing Together58cuì萃320.625 to 326.25萃 01100044H9E11Kun35䷢Proceeding Forward59jìn晋326.25 to 331.875晉 10100033H2E12Kun16䷏Delight60yù豫331.875 to 337.5豫 00100088H4E12Kun20䷓Watching61guān观337.5 to 343.125觀 11000022H6E12Kun08䷇Union62bǐ比343.125 to 348.75比 01000077H8E12Kun23䷖Falling Away63bō剥348.75 to 354.375剝 10000066H10E12Kun02䷁Responding64kūn坤354.375 to 360坤 00000011H1E1Kun In the above table, the upper trigram (in Traditional Chinese) of each hexagram is numbered as follows: Kun 坤 ☷ Xun 巽 ☴ Li 離 ☲ Dui 兌 ☱ (Not used) Gen 艮 ☶ Kan 坎 ☵ Zhen 震 ☳ Qian 乾 ☰ +Numbering of upper trigram(in Simplified Chinese)1 Kun 坤 ☷2Xun 巽 ☴3Li 离 ☲4 Dui 兑 ☱6Gen 艮 ☶7Kan 坎 ☵8 Zhen 震 ☳9Qian 乾 ☰ The meaning of each of the 64 hexagrams can be found in the I Ching.