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

Comments

• Reply 61 of 68
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
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
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
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
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
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
Posts: 1member

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
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...

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