• user warning: Table 'cache_filter' is marked as crashed and should be repaired query: SELECT data, created, headers, expire, serialized FROM cache_filter WHERE cid = '3:68a847ae202f15ea489d7caaff954c19' in /home/tgv/htdocs/includes/cache.inc on line 27.
  • user warning: Table 'cache_filter' is marked as crashed and should be repaired query: UPDATE cache_filter SET data = '<!--paging_filter--><p>\n<span style=\"font-size: 16pt; line-height: 115%; font-family: \'Angsana New\', serif\" lang=\"TH\">โจทย์ข้อที่ </span><span style=\"font-size: 16pt; line-height: 115%; font-family: \'Angsana New\', serif\">1.(259)10 =<br />\n(?)2</span>\n</p>\n<p>\n<span style=\"font-size: 16pt; line-height: 115%; font-family: \'Angsana New\', serif\"></span><span style=\"font-size: 24px; line-height: 27px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\"><u>วิธีทำ</u>     </span>\n</p>\n<p>\n<span style=\"font-size: small\" class=\"Apple-style-span\"></span></p>\n<table style=\"text-align: center; border-width: 1px; border-color: #000000; border-style: solid\" border=\"1\">\n<caption> </caption>\n<tbody>\n<tr>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\" lang=\"TH\">    ตัวหาร   </span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\" lang=\"TH\">           ตัวตั้ง          </span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\" lang=\"TH\">       เศษ     </span> </td>\n</tr>\n<tr>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">259</span> </td>\n<td style=\"text-align: center\"> </td>\n</tr>\n<tr>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">129</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">1</span> </td>\n</tr>\n<tr>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">64</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: large; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\"><span style=\"line-height: 27px\" class=\"Apple-style-span\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">1</span></span></span></td>\n</tr>\n<tr>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">32</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">0</span> </td>\n</tr>\n<tr>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">16</span></td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">0</span> </td>\n</tr>\n<tr>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">8</span></td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">0</span></td>\n</tr>\n<tr>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">4</span></td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">0</span></td>\n</tr>\n<tr>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2</span></td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">0</span></td>\n</tr>\n<tr>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">1</span></td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">0</span> </td>\n</tr>\n</tbody>\n</table>\n<p>\n</p>\n<p>\n<span style=\"color: #ff0000\" class=\"Apple-style-span\"> </span> <span style=\"font-size: 18pt; line-height: 115%; font-family: \'Cordia New\', sans-serif\" lang=\"TH\"><u style=\"background-color: #ffff00\">ตอบ</u> </span><span style=\"font-size: 16pt; line-height: 115%; font-family: \'Angsana New\', serif\">(259)10 = (100000011)2</span>\n</p>\n<p>\n________________________________________________________________________ \n</p>\n<p>\n <span style=\"font-size: 16pt; line-height: 115%; font-family: \'Angsana New\', serif\" lang=\"TH\">โจทย์ข้อที่ </span><span style=\"font-size: 16pt; line-height: 115%; font-family: \'Angsana New\', serif\">5.(951)16 = (?)10 = (?)2</span>\n</p>\n<p>\n5.1)    <span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\">(951)16 = (?)10</span><span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\">    </span>\n</p>\n<p>\n<span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\"><u>วิธีทำ   </u>      (951)16</span><span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\">  =  (9x16^2) + (5x16^1) + (1x16^0)</span>\n</p>\n<p>\n<span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\"></span><span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\"><span style=\"white-space: pre\" class=\"Apple-tab-span\"> </span>   =  2,304 + 80 +1 = 2,385</span>\n</p>\n<p>\n<span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\"><u>ดังนั้น</u>       </span><span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\">(951)16 = (2,385)10</span>\n</p>\n<p>\n<span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\"></span><span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\">5.2)    </span><span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\">(2,385)10 = (?)2</span><span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\"> </span>\n</p>\n<p>\n<span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\"><u>วิธีทำ  </u>   </span><span style=\"font-size: medium\" class=\"Apple-style-span\"> </span>\n</p>\n<table style=\"text-align: center; border-width: 1px; border-color: #000000\" border=\"1\">\n<tbody>\n<tr>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\" lang=\"TH\">    ตัวหาร   </span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\" lang=\"TH\">      ตัวตั้ง     </span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\" lang=\"TH\">   เศษ   </span></td>\n</tr>\n<tr>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2</span></td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2385</span></td>\n<td style=\"text-align: center\"> </td>\n</tr>\n<tr>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2</span></td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">1192</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">1</span> </td>\n</tr>\n<tr>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">596</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">0</span> </td>\n</tr>\n<tr>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">298</span></td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">0</span> </td>\n</tr>\n<tr>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">149</span></td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">0</span> </td>\n</tr>\n<tr>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">74</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">1</span></td>\n</tr>\n<tr>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">37</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">0</span> </td>\n</tr>\n<tr>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">18</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">1</span> </td>\n</tr>\n<tr>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">9</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">0</span> </td>\n</tr>\n<tr>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">4</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">1</span> </td>\n</tr>\n<tr>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">0</span> </td>\n</tr>\n<tr>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">1</span> </td>\n<td style=\"text-align: center\"><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">0</span> </td>\n</tr>\n</tbody>\n</table>\n<p>\n<span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\"><u>ดังนั้น</u>   </span><span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\">(2,385)10 = (10010101001)2</span>\n</p>\n<p>\n<span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\"></span><span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\"><span style=\"background-color: #ffff00\" class=\"Apple-style-span\"><u>ตอบ</u></span>  </span><span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\"> </span><span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\">(951)16  =</span><span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\"> </span><span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\">(2,385)10 = (10010101001)2</span>\n</p>\n<p>\n<span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\"></span><span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\">_______________________________________________________________________  </span>\n</p>\n<p>\n&nbsp;\n</p>\n<p>\n<span style=\"font-size: 16pt; line-height: 115%; font-family: \'Angsana New\', serif\" lang=\"TH\">โจทย์ข้อที่ </span><span style=\"font-size: 16pt; line-height: 115%; font-family: \'Angsana New\', serif\">9.(11001001)2 =(?)16</span>\n</p>\n<p>\n<span style=\"font-size: 16pt; line-height: 115%; font-family: \'Angsana New\', serif\" lang=\"TH\"><u>วิธีทำ</u><span>   <br />\n</span>แนวคิด<span>  </span>แบ่งเลขฐานสองออกทีละสี่ส่วนจากขวาไปซ้าย<span>  จะได้ว่า</span><span> </span></span><span style=\"font-size: 16pt; line-height: 115%; font-family: \'Angsana New\', serif\">1100</span><b><span style=\"font-size: 22pt; line-height: 115%; font-family: \'Angsana New\', serif\" lang=\"TH\">/</span></b><span style=\"font-size: 16pt; line-height: 115%; font-family: \'Angsana New\', serif\">1001  จากนั้นนำไปใส่ในตารางดังนี้</span>\n</p>\n<table style=\"border-width: 1px; border-color: #000000\" border=\"1\">\n<caption> </caption>\n<tbody>\n<tr>\n<td><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2^3 = 8</span></td>\n<td><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2^2 = 4</span> </td>\n<td><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2^1 = 2</span> </td>\n<td><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">2^0 = 1</span> </td>\n<td><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\" lang=\"TH\">  ผลลัพธ์ </span> </td>\n</tr>\n<tr>\n<td><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">1</span></td>\n<td><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">1</span></td>\n<td><span style=\"font-size: 24px; line-height: 27px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\">0</span> </td>\n<td><span style=\"font-size: 24px; line-height: 27px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\">0</span> </td>\n<td><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">8 + 4= 12 = C</span> </td>\n</tr>\n<tr>\n<td><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">1</span> </td>\n<td><span style=\"font-size: 24px; line-height: 27px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\">0</span> </td>\n<td><span style=\"font-size: 24px; line-height: 27px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\">0</span> </td>\n<td><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">1</span> </td>\n<td><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Angsana New\', serif\">8 + 1 = 9</span> </td>\n</tr>\n</tbody>\n</table>\n<p>\n<span style=\"font-size: 16pt; line-height: 115%; font-family: \'Angsana New\', serif\"></span> \n</p>\n<p>\n<span style=\"font-size: 16pt; line-height: 115%; font-family: \'Angsana New\', serif\"></span><span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\"><span style=\"background-color: #ffff00\" class=\"Apple-style-span\"><u>ตอบ</u></span> </span>   <span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\">(11001001)2 =(C9)16</span>\n</p>\n<p>\n<span style=\"font-size: 21px; line-height: 24px; font-family: \'Angsana New\', serif\" class=\"Apple-style-span\"> </span>\n</p>\n<p class=\"MsoNormal\">\n<span style=\"font-size: 16pt; line-height: 115%; font-family: \'Angsana New\', serif\"><span> <br />\n</span></span><span style=\"font-size: 18pt; line-height: 115%; font-family: \'Cordia New\', sans-serif\" lang=\"TH\"><o:p></o:p></span>\n</p>\n', created = 1715794772, expire = 1715881172, headers = '', serialized = 0 WHERE cid = '3:68a847ae202f15ea489d7caaff954c19' in /home/tgv/htdocs/includes/cache.inc on line 112.

ใบงานเลขฐาน ชั้นม.4/12

รูปภาพของ rsm53581

โจทย์ข้อที่ 1.(259)10 =
(?)2

วิธีทำ     

 
    ตัวหาร                ตัวตั้ง                   เศษ      
2  259   
2  129  1 
2  64  1
2  32  0 
2  16 0 
2  8 0
2  4 0
2  2 0
2  1 0 

  ตอบ (259)10 = (100000011)2

________________________________________________________________________ 

 โจทย์ข้อที่ 5.(951)16 = (?)10 = (?)2

5.1)    (951)16 = (?)10   

วิธีทำ         (951)16  =  (9x16^2) + (5x16^1) + (1x16^0)

   =  2,304 + 80 +1 = 2,385

ดังนั้น       (951)16 = (2,385)10

5.2)    (2,385)10 = (?)2 

วิธีทำ      

    ตัวหาร           ตัวตั้ง          เศษ   
2 2385  
2 1192  1 
2  596  0 
2  298 0 
2  149 0 
2  74  1
2  37  0 
2  18  1 
2  9  0 
2  4  1 
2  2  0 
2  1  0 

ดังนั้น   (2,385)10 = (10010101001)2

ตอบ   (951)16  = (2,385)10 = (10010101001)2

_______________________________________________________________________  

 

โจทย์ข้อที่ 9.(11001001)2 =(?)16

วิธีทำ   
แนวคิด  แบ่งเลขฐานสองออกทีละสี่ส่วนจากขวาไปซ้าย  จะได้ว่า 
1100/1001  จากนั้นนำไปใส่ในตารางดังนี้

 
2^3 = 8 2^2 = 4  2^1 = 2  2^0 = 1    ผลลัพธ์  
1 1 0  0  8 + 4= 12 = C 
1  0  0  1  8 + 1 = 9 

 

ตอบ    (11001001)2 =(C9)16

 

 

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พระราชบัญญัติลิขสิทธิ์ (ฉบับที่ 2) พ.ศ. 2558 
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