What's wrong with larger than binary code? (Base 4?)

124»

Comments

  • Reply 61 of 68
    rick1138rick1138 Posts: 938member
    [quote]



    Originally posted by MajorMatt:

    Very Interesting, although the complexity grows exponentially with such an idea.



    So I'd gather, the input signals are fed through some sort of voltage comparators and depending upon the gate, it makes a a voltage decision (output)



    Using 0,1,2,3 look at what you get:



    000 002 003 112 113 323

    001 022 033 122 133 223

    011 222 333 121 333 233

    111 220 330 221 331 333

    110 200 300 211 311 332

    100 202 303 212 313 322

    101 020 030 131 232

    010



    42 combinations over 8 combinations with just base2 (unless I made some mistakes) 80% More!

    ------------------------------------------------------------------------

    Yeah, you missed a bunch



    000 002 003 112 113 323 132 102

    001 022 033 122 133 223 321 120

    011 222 333 121 333 233 312 210

    111 220 330 221 331 333 231 201

    110 200 300 211 311 332 213

    100 202 303 212 313 322 012

    101 020 030 131 232 123 021

    010



    I missed some too, but that's 54

    (the smarter way to do it is simply 4^3=64)

    which is 8X more storage space. (800%)



    <hr></blockquote>



    Actually it is 4^4 = 256



    Here is the full set:



    0000 0001 0002 0003

    0010 0011 0012 0013

    0020 0021 0022 0023

    0030 0031 0032 0033



    0100 0101 0102 0103

    0110 0111 0112 0113

    0120 0121 0122 0123

    0130 0131 0132 0133



    0200 0201 0202 0203

    0210 0211 0212 0213

    0220 0221 0222 0223

    0230 0231 0232 0233



    0300 0301 0302 0303

    0310 0311 0312 0313

    0320 0321 0322 0323

    0330 0331 0332 0333



    1000 1001 1002 1003

    1010 1011 1012 1013

    1020 1021 1022 1023

    1030 1031 1032 1033



    1100 1101 1102 1103

    1110 1111 1112 1113

    1120 1121 1122 1123

    1130 1131 1132 1133



    1200 1201 1202 1203

    1210 1211 1212 1213

    1220 1221 1222 1223

    1230 1231 1232 1233



    1300 1301 1302 1303

    1310 1311 1312 1313

    1320 1321 1322 1323

    1330 1331 1332 1333





    2000 2001 2002 2003

    2010 2011 2012 2013

    2020 2021 2022 2023

    2030 2031 2032 2033



    2100 2101 2102 2103

    2110 2111 2112 2113

    2120 2121 2122 2123

    2130 2131 2132 2133



    2200 2201 2202 2203

    2210 2211 2212 2213

    2220 2221 2222 2223

    2230 2231 2232 2233



    2300 2301 2302 2303

    2310 2311 2312 2313

    2320 2321 2322 2323

    2330 2331 2332 2333



    3000 3001 3002 3003

    3010 3011 3012 3013

    3020 3021 3022 3023

    3030 3031 3032 3033



    3100 3101 3102 3103

    3110 3111 3112 3113

    3120 3121 3122 3123

    3130 3131 3132 3133



    3200 3201 3202 3203

    3210 3211 3212 3213

    3220 3221 3222 3223

    3230 3231 3232 3233



    3300 3301 3302 3303

    3310 3311 3312 3313

    3320 3321 3322 3323

    3330 3331 3332 3333



    Or more briefly,stealing from the Einsteinian tensor notation convention:



    ijkl



    [ 08-02-2002: Message edited by: Rick1138 ]</p>
  • Reply 62 of 68
    rick1138rick1138 Posts: 938member
    Shit I screwed up,it is 64,I was thinking of 4 bits for some reason,anyway here is the (less) full set:



    000 001 002 003

    010 011 012 013

    020 021 022 023

    030 031 032 033



    100 101 102 103

    110 111 112 113

    120 121 122 123

    130 131 132 133



    200 201 202 203

    210 211 212 213

    220 221 222 223

    230 231 232 233



    300 301 302 303

    310 311 312 313

    320 321 322 323

    330 331 332 333
  • Reply 63 of 68
    razzfazzrazzfazz Posts: 728member
    [quote]Originally posted by MajorMatt:

    <strong>So I'd gather, the input signals are fed through some sort of voltage comparators and depending upon the gate, it makes a a voltage decision (output)

    (...)

    42 combinations over 8 combinations with just base2 (unless I made some mistakes) 80% More!</strong><hr></blockquote>



    Yeah, but how do you intend to perform logical operations on four-state values? What is 3 AND 4? (Note: Saying 3 OR 4 in a four-state machine would be 0011 OR 0100 = 0111 is not an option - if you convert back to binary representation before doing the actual operation, you don't have any benefit over using a binary machine in the first place).



    Bye,

    RazzFazz
  • Reply 64 of 68
    stimulistimuli Posts: 564member
    I have no intention of reading this entire thread, so I don't know if this has been mentioned yet, but the obvious reason why there is no base 3+ has to do with the reliability of the non-binary data.



    With a limited pallette of 1 and 0, digital media gains reknowned reliability, ie cdroms, binary files, etc. The reason for this is, on a physical level, you have to screw up a 1 a WHOLE LOT before it starts looking like a 0, and vice versa. With checksums and such, even if a bit is not readable, if it is known to NOT be a 0, it therefore is a 1.



    1 and 0 are electrically and physically dissimilar. As soon as you break the polar-opposite spectrum and create threes and fours, the reliability gos to shit.



    1 and 0 is the way and the light.
  • Reply 65 of 68
    majormattmajormatt Posts: 1,077member
    D'oh!



    I forgot to combine them in threes, not just two's

    i.e. (0:1 0:2 1:2 0:3 1:3 3:2)



    And I dont know what to do or fathom about multiple voltage input gates....



    PS - Does everyone know op-amps were originally intended for mathematical calculations?
  • Reply 66 of 68
    eupfhoriaeupfhoria Posts: 257member
    [quote]Originally posted by stimuli:

    <strong>I have no intention of reading this entire thread, so I don't know if this has been mentioned yet, but the obvious reason why there is no base 3+ has to do with the reliability of the non-binary data.



    With a limited pallette of 1 and 0, digital media gains reknowned reliability, ie cdroms, binary files, etc. The reason for this is, on a physical level, you have to screw up a 1 a WHOLE LOT before it starts looking like a 0, and vice versa. With checksums and such, even if a bit is not readable, if it is known to NOT be a 0, it therefore is a 1.



    1 and 0 are electrically and physically dissimilar. As soon as you break the polar-opposite spectrum and create threes and fours, the reliability gos to shit.



    1 and 0 is the way and the light.</strong><hr></blockquote>



    Yeah, several times.
  • Reply 67 of 68

    When we reach quantum computing we will be on the level of DNA. Look at it like this, a base 3 code would be like our TVs which use three colors to display a flat picture of thousands of different color variations. that could take the form of -, 0, or +. So you could have your switch go one way for - another way for 0 (no voltage) or another way for + voltage. Now that's something we already have all around us, it's called AC power. Go one more level and you would have a base 4 code like our DNA which makes us in 3D not just a flat screen. 

  • Reply 68 of 68
    hirohiro Posts: 2,663member

    This WAS as 12+ year dead thread...  

     

    If you added something interesting and the least bit new it might be cool.  But this way it looks like you are just prepping an accont for use as a spambot.  Your examples are rubbish by the way...

Sign In or Register to comment.