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===Irrational numbers=== The table below gives the expansions of some common [[irrational number]]s in decimal and hexadecimal. {| class="wikitable" ! rowspan=2 | Number ! colspan=2 | Positional representation |- ! Decimal ! Hexadecimal |- | [[Square root of 2|{{sqrt|2}}]] (the length of the [[diagonal]] of a unit [[Square (geometry)|square]]) | {{val|1.414213562373095048}}... | 1.6A09E667F3BCD... |- | [[Square root of 3|{{sqrt|3}}]] (the length of the diagonal of a unit [[cube]]) | {{val|1.732050807568877293}}... | 1.BB67AE8584CAA... |- | [[Square root of 5|{{sqrt|5}}]] (the length of the [[diagonal]] of a 1×2 [[rectangle]]) | {{val|2.236067977499789696}}... | 2.3C6EF372FE95... |- | {{mvar|[[Golden ratio|φ]]}} (phi, the [[golden ratio]] = {{math|(1+{{radical|5}})/2}}) | {{val|1.618033988749894848}}... | 1.9E3779B97F4A... |- | {{mvar|[[Pi|π]]}} (pi, the ratio of [[circumference]] to [[diameter]] of a circle) | {{val|3.141592653589793238462643}}<br />{{val|383279502884197169399375105}}... | 3.243F6A8885A308D313198A2E0<br />3707344A4093822299F31D008... |- | {{mvar|[[E (mathematical constant)|e]]}} (the base of the [[natural logarithm]]) | {{val|2.718281828459045235}}... | 2.B7E151628AED2A6B... |- | {{mvar|[[Thue–Morse constant|τ]]}} (the [[Thue–Morse constant]]) | {{val|0.412454033640107597}}... | 0.6996 9669 9669 6996... |- | {{mvar|[[Euler-Mascheroni constant|γ]]}} (the limiting difference between the [[harmonic series (mathematics)|harmonic series]] and the natural logarithm) | {{val|0.577215664901532860}}... | 0.93C467E37DB0C7A4D1B... |}
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