{!LANG-a239d636dd83e9c393505a0ebbc30e88!}

{!LANG-29bdaaa7d691042b6ae3ede25ff9e448!}

{!LANG-e2c8539ce5ce0c17b509e8906e04517c!}

{!LANG-87b57d4f5765c421e7831447fbe16e61!}

{!LANG-5736c63df9ab89f76360fe216acd0a6f!}

{!LANG-02b4f29c4bfbcb048e1b32f390b709cf!}

{!LANG-5ac8459b710dbc66260d28e8f42a4430!}

{!LANG-4a947e67f0f5158b42e8bacb06dd12d7!}

{!LANG-3116c16e35c45ba0f41b56baa976701e!}

{!LANG-6cc1301d2798e6920bf8db66c3c7978d!}

{!LANG-1259c32cbe9f1459fe4eb8c8e96d470e!}

{!LANG-18e0a8c7cc4364e616fa487f6ee0f9dd!}

{!LANG-4b6d411da0418e5e41aaff4cd409ea34!} {!LANG-f4d5d0c0671be202bc241807c243e80b!}{!LANG-68dd1afaed022c111f452e74095d9697!} {!LANG-f4d5d0c0671be202bc241807c243e80b!}{!LANG-93c7181c8a0029bc447a2bcc72b84b80!} {!LANG-f4d5d0c0671be202bc241807c243e80b!}{!LANG-6fa31ada47f20dacc32e71f418c13be1!}

{!LANG-366e4ae6c93618796ddcc7eafcd9a90e!} {!LANG-fe13119fb084fe8bbf5fe3ab7cc89b3b!}{!LANG-60c6057e592e7405a8360253320be168!} {!LANG-f4d5d0c0671be202bc241807c243e80b!}{!LANG-2e4bb1a40ce0ae5311212bbf6e1fedd3!}

{!LANG-58c312da94b5e0703f2ad947672ba884!}

{!LANG-0d7aa255cdd5f1b6b9aed220e9f87763!}
{!LANG-0b40e12d3eeca32b6201ef127370c9b7!}
10 2 8 16
0 0 0 0
1 1 1 1
2 10 2 2
3 11 3 3
4 100 4 4
5 101 5 5
6 110 6 6
7 111 7 7
8 1000 10 8
9 1001 11 9
10 1010 12 {!LANG-bf072e9119077b4e76437a93986787ef!}
11 1011 13 {!LANG-30cf3d7d133b08543cb6c8933c29dfd7!}
12 1100 14 {!LANG-b39bfc0e26a30024c76e4dcb8a1eae87!}
13 1101 15 {!LANG-57b8d745384127342f95660d97e1c9c2!}
14 1110 16 {!LANG-787c9a8e2148e711f6e9f44696cf341f!}
15 1111 17 F.

{!LANG-1624b0451ddc1b0cb875cbd78fe8ca2c!}

{!LANG-2cc20e443aceb4e28d2b92d50facc953!}

{!LANG-daa23916b9fd8d3c857c4f1137312ebd!}

{!LANG-a6383b5f1cc078aca09740ae133c1b29!} 1. {!LANG-c6d3a5525eca5497b6ae9b43bb71c1d5!}

1 {!LANG-0378a3e401020a8e571d3e89dac217cd!} 1 {!LANG-c584c004e44f582d508c07c5462f8bd6!} 1 {!LANG-71b9f1167a138771c8ed9c22fc610bd3!} 1 {!LANG-348c735cc0fc209216af0044e349e76c!} 0 {!LANG-fddc1d3a1812cc80ec7dd153619e1182!} 1 {!LANG-29e68c43484eafef7388fa29e288a6c4!} 0 {!LANG-3d82abb7ed2fd78e84ff20091ba3ecea!} 0 {!LANG-dc643a2f5098a99f53d8e391f6fbc530!} 1 {!LANG-85e546598f7975d786c0cb418342779c!}

{!LANG-a6383b5f1cc078aca09740ae133c1b29!}2. {!LANG-dfa44b8601234cf56a985fc02bbad508!}

{!LANG-a6383b5f1cc078aca09740ae133c1b29!} 3 {!LANG-d13a0fbf0acce3c3b87761a5297f37ca!}

{!LANG-7e1dd0a637d5f10faacd6a90bd524e67!} {!LANG-bf072e9119077b4e76437a93986787ef!}{!LANG-e44dd194719f291a7ff790d421542e9c!} {!LANG-30cf3d7d133b08543cb6c8933c29dfd7!}{!LANG-b4e7185da11e285f0dd9f63ef883c18b!} {!LANG-b39bfc0e26a30024c76e4dcb8a1eae87!}{!LANG-809e9f11e9ca0fa16d2df9026eaccab6!} F.{!LANG-6bb412d63748d15b3dd0f9c790af408b!}

{!LANG-69f5068f9e0738da43ffa9bf47e15034!}

{!LANG-c8772df8826a1b1801b7c8f6579dd7ed!}

{!LANG-910f552aae211b43b63718f90cf7f3e0!}

{!LANG-a6383b5f1cc078aca09740ae133c1b29!} 4 {!LANG-9482b470cae96a058b8e19bddec86b4a!}

159 2
158 79 2
1 78 39 2
1 38 19 2
1 18 9 2
1 8 4 2
1 4 2 2
0 2 1
0

{!LANG-bca4d409f645e61e9e20dd0e22f9c301!} 10011111 {!LANG-2bb222a7c73cab197a3234c475980432!}

159 10 =10011111 2 .

{!LANG-a6383b5f1cc078aca09740ae133c1b29!} 5 {!LANG-79060479d709b3e955bcef6b7012d6c0!}

615 8
608 76 8
7 72 9 8
4 8 1
1

{!LANG-d6e0e3582101f363b6891a41fac15b34!} 1147 {!LANG-493853551acc4cf0eeb96ff8ad0e9090!}

615 10 =1147 8 .

{!LANG-a6383b5f1cc078aca09740ae133c1b29!} 6 {!LANG-363f501dd7b2f5a4931ba5a273c81ac9!}

19673 16
19664 1229 16
9 1216 76 16
13 64 4
12

{!LANG-a5baf72d01f8ba65e42edc7aded4a9dc!}

För att överföra de korrekta decimalafraktionerna (realt antal med ett nolltal) till räkningssystemet med basen S, måste ett givet nummer multipliceras till S, tills en ren noll inte kommer i fraktionerna, eller vi kommer inte att få Obligatoriskt antal utsläpp.

{!LANG-cbdfde8b1d6dbf4f2ea0f2408a447ebe!}

{!LANG-a6383b5f1cc078aca09740ae133c1b29!} 7 {!LANG-1291cde0bbdaef2f4ef2b9344cecbecf!}

0.214
{!LANG-401b30e3b8b5d629635a5c613cdb7919!} 2
0 0.428
{!LANG-401b30e3b8b5d629635a5c613cdb7919!} 2
0 0.856
{!LANG-401b30e3b8b5d629635a5c613cdb7919!} 2
1 0.712
{!LANG-401b30e3b8b5d629635a5c613cdb7919!} 2
1 0.424
{!LANG-401b30e3b8b5d629635a5c613cdb7919!} 2
0 0.848
{!LANG-401b30e3b8b5d629635a5c613cdb7919!} 2
1 0.696
{!LANG-401b30e3b8b5d629635a5c613cdb7919!} 2
1 0.392

{!LANG-a8f08382fc0163ee428e7c317d1e4e29!} 0011011 .

{!LANG-340c3e6ff0c90c0e1c2b74704bc0b58c!}

0.214 10 =0.0011011 2 .

{!LANG-a6383b5f1cc078aca09740ae133c1b29!} 8 {!LANG-9f2b9c9bffcb08a4a8a88e200b8163aa!}

0.125
{!LANG-401b30e3b8b5d629635a5c613cdb7919!} 2
0 0.25
{!LANG-401b30e3b8b5d629635a5c613cdb7919!} 2
0 0.5
{!LANG-401b30e3b8b5d629635a5c613cdb7919!} 2
1 0.0

{!LANG-1c3795c04ff2c61a3ca4184065cacd84!}

0.125 10 =0.001 2 .

{!LANG-a6383b5f1cc078aca09740ae133c1b29!} 9 {!LANG-cdbf7e24936b0225bf289e21b42439e3!}

0.214
{!LANG-401b30e3b8b5d629635a5c613cdb7919!} 16
3 0.424
{!LANG-401b30e3b8b5d629635a5c613cdb7919!} 16
6 0.784
{!LANG-401b30e3b8b5d629635a5c613cdb7919!} 16
12 0.544
{!LANG-401b30e3b8b5d629635a5c613cdb7919!} 16
8 0.704
{!LANG-401b30e3b8b5d629635a5c613cdb7919!} 16
11 0.264
{!LANG-401b30e3b8b5d629635a5c613cdb7919!} 16
4 0.224

{!LANG-1fd03d0ff459a550886e0fb693249142!}

{!LANG-519dfbba27c25b5733ab2da9612c440f!}

{!LANG-a6383b5f1cc078aca09740ae133c1b29!} 10 {!LANG-5f6c75d7186e5da9e7bc79d9452941d8!}

0.512
{!LANG-401b30e3b8b5d629635a5c613cdb7919!} 8
4 0.096
{!LANG-401b30e3b8b5d629635a5c613cdb7919!} 8
0 0.768
{!LANG-401b30e3b8b5d629635a5c613cdb7919!} 8
6 0.144
{!LANG-401b30e3b8b5d629635a5c613cdb7919!} 8
1 0.152
{!LANG-401b30e3b8b5d629635a5c613cdb7919!} 8
1 0.216
{!LANG-401b30e3b8b5d629635a5c613cdb7919!} 8
1 0.728

{!LANG-8773adc6e2f730dd50dc8759b8b4c94b!}

0.512 10 =0.406111 8 .

{!LANG-a6383b5f1cc078aca09740ae133c1b29!} 11 {!LANG-5cb173ba60ee9677cac0e61377fed0e1!}

159.125 10 =10011111.001 2 .

{!LANG-a6383b5f1cc078aca09740ae133c1b29!} 12 {!LANG-36ec7c36f1cdb5cac7cac00622e79677!}

{!LANG-a661a36f83a6a307d0d31ded69d77f4b!}{!LANG-5f96e704f953ff745f1e2279c5848a8a!}

Du kan komma in som heltal, till exempel 34 och fraktionerad, till exempel 637,333.

{!LANG-2092a89cd14c885f3e78c1b464d748d3!}

{!LANG-c2404d0b476a0bad0bcfadf92e60581c!}

{!LANG-36983d77d588423790abe89430399175!} {!LANG-195d67f2f82ce01ff0c09c86a99f6f94!}
{!LANG-9ed1af4d9dfea732f2ae58c7de75efa9!} {!LANG-d82dbe56400f86bf1cf7eab1d8a54610!}
{!LANG-b0f47d5b07c9d7b9339ee6652211c54c!} {!LANG-cf624f0c6fb078c9790bc5ca29448387!}
{!LANG-55978fa52cdd475c20871bf881b6265a!} {!LANG-695a6bb5b9685ea75520378f81dbc88d!}

{!LANG-37e5360a65bb7ac0a1073008880f9cba!}

{!LANG-b316ea3dc494c119c663e2e0014ae823!}
{!LANG-2281e5184093c73f6f0ef1eb53fc0a1d!}
{!LANG-8d6a94a1cf6b327ee45e649bc153057c!}

{!LANG-aaa873baf99a91b9420bff640b327217!}



{!LANG-059626e98854fe4c4c1c86797d66e192!}
Dessa system är därför flera två, varvid översättningen utförs med hjälp av ett korrespondensbord (se nedan).

{!LANG-e10aadab61ca0b38edaa5a25c4b8c38a!}
{!LANG-ad6b07716c8c41cc5ee8755f14d054de!}

{!LANG-c69a405ece0069357d8c054184b02883!}
{!LANG-bfbe00f9c4b77d55b746b7f784ee4b1b!}
{!LANG-d9d4f4f8a796e969c6a89e8c6ebeda39!}

{!LANG-a70d570c65a2bd49b7ef049a502dcca5!}

{!LANG-8cad08654c3283b91fb9dedceec7762e!}
{!LANG-74eb039a6eb37df62672a8f0d3892851!}

{!LANG-0c59cb42d778bb6f0fa358e4c2c94a50!}
{!LANG-5f04c796192511efd57c91f7bfe48777!}

{!LANG-45327416fc6d0dd93d96397518d0796b!}

  1. {!LANG-76ccc90196fc97e1881f8f46a4840cef!}
    • {!LANG-1a06efd6f88a81b9fae0474118f4e4eb!}
    • {!LANG-a30ca90fe4e14b50b08c3f0e14c28a29!}
    • {!LANG-d5e5757f04dbe20b6618695f99918d2b!}
  2. {!LANG-295a5f0ed9483062fa04f30178aaa639!}
    • {!LANG-334ecffc734e98e5fd1c8cbf8f1d757e!}
    • {!LANG-714056c94cdb2a8ed1df8f6b598a5f38!}
      {!LANG-d4c63f80448502c56dbaef7fa09db361!}
    • {!LANG-2d83bbf95a6532234deff0d7cf1294bd!}
      {!LANG-5920b3ca6268f3186ef041f3d7832ec0!}
{!LANG-babc71554ce2f6062aec6ecf6f066de2!}För vilka betydelsen eller vikten av numret beror på dess läge i antal.
{!LANG-cd6831ce721a2e1fb238e35b80e2ea43!}
{!LANG-d6f6621c6649b7b4a296642a0c283787!}{!LANG-1c355893ca0372df32899195f29688a0!}
0000 0
0001 1
0010 2
0011 3
0100 4
0101 5
0110 6
0111 7
1000 8
1001 9
1010 {!LANG-bf072e9119077b4e76437a93986787ef!}
1011 {!LANG-30cf3d7d133b08543cb6c8933c29dfd7!}
1100 {!LANG-b39bfc0e26a30024c76e4dcb8a1eae87!}
1101 {!LANG-57b8d745384127342f95660d97e1c9c2!}
1110 {!LANG-787c9a8e2148e711f6e9f44696cf341f!}
1111 F.

{!LANG-ff776ba786c56627df1fe71d05eb98c8!}

{!LANG-e1b8604f0fa57137ecdff143c50f7d7f!}
{!LANG-e6e7fac13bb5d58be8ad206bc41518ae!}.
{!LANG-80d4c60b269e932eb9835c4116ee5b7a!}

{!LANG-75a4b5e56c33f0e43abc641c1f6412b1!}
100 = 144 8

{!LANG-a6276ae2e525a951ff7874d7646d6430!}
{!LANG-6419e17f8b7dae01eb17b52b71e5895b!} 0 )
{!LANG-99a565c9b29140464ebc8c51c2998373!} 7 )
{!LANG-ee0f52cba1c04d7891afe3ab01f8265e!} 5 )
{!LANG-64083edceac8534dbf9283befefc9919!} 3 )
{!LANG-1ca9ecf466d20048755a03702ed761e1!}
0.12 = 0.753 8

100,12 10 = 144,0753 8

{!LANG-b87e5fe01dae723ec4d4c71e9c322cd7!} {!LANG-3379000a91be55d77356afbe768a90a3!}.
{!LANG-4e2a5330f049c7a436e214eefe629e24!}

{!LANG-e5aedf53a14896aed67f417ce059287c!}
144 = 8 2 *1 + 8 1 *4 + 8 0 *4 = 64 + 32 + 4 = 100

{!LANG-bba55f16a1995a75f8d944fc15d640f8!}
0753 = 8 -1 *0 + 8 -2 *7 + 8 -3 *5 + 8 -4 *3 = 0.119873046875 = 0.1199

144,0753 8 = 100,96 10
{!LANG-ea73ee49b555883e2e68d54fcc4e60c0!}

{!LANG-43128de99f9c9a60aa98291eb7ef6e69!}

{!LANG-db0c33fcce96dd024d9b3ce0d904ec25!} {!LANG-0e154ad8fef3808eb7eee73907e3c9a0!} {!LANG-aee9e635e69153b216ae03b36f7117ad!}.

{!LANG-48ea5fe57d914c73cf3bad6471bd7d34!} 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 {!LANG-aee9e635e69153b216ae03b36f7117ad!}.

{!LANG-eb823190b7125897c656fc7d367c4828!}

{!LANG-bcbd01f5401f2005f1764cb3f213b548!}

{!LANG-cbba558239f1aaa9b267142f6e4d5d52!}

{!LANG-b53b6ad6e9555ec2fe07397362c2e0aa!}

{!LANG-ed367956d59110188417937a43766d5c!} {!LANG-450ff26db74c582f072cce36d66eaf48!}{!LANG-73365e38bf2b65234d77914e34d9fae0!} {!LANG-d316f1532e9d8ba8e71b3d807c2bebc2!}.

{!LANG-b0540cd235d7f43dcf31511ea5cd717e!}{!LANG-b0643d5ab99735d98185869bf6eacf79!}

{!LANG-5d580c9c752293277eda48b856482230!}

{!LANG-eca033d969e0a944f8e8112c13c8f028!}{!LANG-e98ccd43df5f8b1b69ad24cedb751c66!}

{!LANG-1ac175f6cce483d00cd1c05baf5fb808!}

{!LANG-797d4528f3c383ef966c0f0a0f46227f!}

{!LANG-2cc20e443aceb4e28d2b92d50facc953!}

{!LANG-ab3001e3462c67d121c3313f2164b860!}

1. {!LANG-c8bfccf20e81d1c636e90b87316c4750!}
{!LANG-deebd556285b35a1d9939b39780a8f6a!}{!LANG-fe71bfdd703b16101cd393c0a2106f3b!}
{!LANG-57efcd437c939a8d706c5e811648c3a4!} 10011.1101 2 = 19.8125 10

2. {!LANG-4c3f4a2790ec81ba06e31fa1694a5b18!}
{!LANG-deebd556285b35a1d9939b39780a8f6a!}{!LANG-9aed4a70fffce4a8a11e9255f5faebf0!}
{!LANG-57efcd437c939a8d706c5e811648c3a4!}{!LANG-d39902ddd08af7e10c21c7f5700f6a7c!}

{!LANG-69f5068f9e0738da43ffa9bf47e15034!}

{!LANG-5865d2a95c92dc0e68700ad7e104a24a!}

{!LANG-99919ea13f97c013bfc338d74e2b0481!}

{!LANG-acda5094b8eee062ff141c248f540ae0!}

3. {!LANG-0aef1b13dbe05422b0d81aa0cae119d2!}
{!LANG-deebd556285b35a1d9939b39780a8f6a!} 273/8 \u003d 34 och återstod 1, 34/8 \u003d 4 och rest 2, 4 mindre än 8, så beräkningarna är färdiga.
{!LANG-c272a1c15b664f82675b3a8017c735bf!}{!LANG-385e0efe5e12b580284c60c35ab87967!}
{!LANG-57efcd437c939a8d706c5e811648c3a4!} 273 10 = 421 8

{!LANG-d1d35b2e19d7e1d76b4653d2d69f0a09!}

{!LANG-b0d4839f2a4dcfec497e2ffac51b7ae0!}

{!LANG-03efe09c48bb3640f35acd8cb77e7606!} {!LANG-90b900fff92a14dc296595c910f91189!}{!LANG-34ca4027da6e3e8c25597a7ff05a9afe!}

4. {!LANG-c5a14f6d3f9c1a5fb8f1d89b16d5f497!}
{!LANG-deebd556285b35a1d9939b39780a8f6a!}{!LANG-d5102f365164a43d4a30b7c915aaf7cb!}
{!LANG-57efcd437c939a8d706c5e811648c3a4!} 0.125 10 = 0.001 2

{!LANG-87bc9c656c25424d5160ac6db78467f4!}