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0;",[306,344,345],{},[309,346],{"alt":311,"src":347},"\u002Fimg\u002FHDL\u002FLecture13-03.png",[306,349,350,353,533],{},[316,351,352],{},"局限性：只能精确表示形式为",[354,355,358,394],"span",{"className":356},[357],"katex",[354,359,362],{"className":360},[361],"katex-mathml",[363,364,366],"math",{"xmlns":365},"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML",[367,368,369,389],"semantics",{},[370,371,372],"mrow",{},[373,374,375,379],"mfrac",{},[376,377,378],"mi",{},"x",[380,381,382,386],"msup",{},[383,384,385],"mn",{},"2",[376,387,388],{},"k",[390,391,393],"annotation",{"encoding":392},"application\u002Fx-tex","\\frac{x}{2^k}",[354,395,399],{"className":396,"ariaHidden":398},[397],"katex-html","true",[354,400,403,408],{"className":401},[402],"base",[354,404],{"className":405,"style":407},[406],"strut","height:1.0528em;vertical-align:-0.3574em;",[354,409,412,417,529],{"className":410},[411],"mord",[354,413],{"className":414},[415,416],"mopen","nulldelimiter",[354,418,420],{"className":419},[373],[354,421,425,520],{"className":422},[423,424],"vlist-t","vlist-t2",[354,426,429,515],{"className":427},[428],"vlist-r",[354,430,434,489,500],{"className":431,"style":433},[432],"vlist","height:0.6954em;",[354,435,437,442],{"style":436},"top:-2.6426em;",[354,438],{"className":439,"style":441},[440],"pstrut","height:3em;",[354,443,449],{"className":444},[445,446,447,448],"sizing","reset-size6","size3","mtight",[354,450,452],{"className":451},[411,448],[354,453,455,458],{"className":454},[411,448],[354,456,385],{"className":457},[411,448],[354,459,462],{"className":460},[461],"msupsub",[354,463,465],{"className":464},[423],[354,466,468],{"className":467},[428],[354,469,472],{"className":470,"style":471},[432],"height:0.782em;",[354,473,475,479],{"style":474},"top:-2.786em;margin-right:0.0714em;",[354,476],{"className":477,"style":478},[440],"height:2.5em;",[354,480,484],{"className":481},[445,482,483,448],"reset-size3","size1",[354,485,388],{"className":486,"style":488},[411,487,448],"mathnormal","margin-right:0.0315em;",[354,490,492,495],{"style":491},"top:-3.23em;",[354,493],{"className":494,"style":441},[440],[354,496],{"className":497,"style":499},[498],"frac-line","border-bottom-width:0.04em;",[354,501,503,506],{"style":502},"top:-3.394em;",[354,504],{"className":505,"style":441},[440],[354,507,509],{"className":508},[445,446,447,448],[354,510,512],{"className":511},[411,448],[354,513,378],{"className":514},[411,487,448],[354,516,519],{"className":517},[518],"vlist-s","​",[354,521,523],{"className":522},[428],[354,524,527],{"className":525,"style":526},[432],"height:0.3574em;",[354,528],{},[354,530],{"className":531},[532,416],"mclose",[316,534,535],{},"的数，其他形式的数都会被表示成无限小数",[306,537,538],{},[309,539],{"alt":311,"src":540},"\u002Fimg\u002FHDL\u002FLecture13-04.png",[278,542,543],{"id":543},"浮点表示法",[306,545,546],{},[309,547],{"alt":311,"src":548},"\u002Fimg\u002FHDL\u002FLecture13-05.png",[306,550,551,552],{},"对于这个浮点数的结构而言，同时也引入了约定俗成的",[553,554,555],"mark",{},[316,556,557],{},"规范",[306,559,560],{},[309,561],{"alt":311,"src":562},"\u002Fimg\u002FHDL\u002FLecture13-06.png",[287,564,565],{},[290,566,567,570],{},[316,568,569],{},"指数编码需要偏置值以便于把负指数映射到正数域中，以便于比较大小",[287,571,572],{},[290,573,574],{},"通常这个偏置的值取指数的位宽所能表示的数的最大值除以2附近的值",[283,576,578,807],{"type":577},"tip",[306,579,580,581,746,747],{},"例如对于单精度 exp8位，最大指数位为",[354,582,584,625],{"className":583},[357],[354,585,587],{"className":586},[361],[363,588,589],{"xmlns":365},[367,590,591,622],{},[370,592,593,600,604,607,610,613,615,617,619],{},[380,594,595,597],{},[383,596,385],{},[383,598,599],{},"8",[601,602,603],"mo",{},"−",[383,605,606],{},"1",[601,608,609],{},"=",[383,611,612],{},"256",[601,614,603],{},[383,616,606],{},[601,618,609],{},[383,620,621],{},"255",[390,623,624],{"encoding":392},"2^8 - 1 = 256-1 = 255",[354,626,628,679,700,719,737],{"className":627,"ariaHidden":398},[397],[354,629,631,635,667,672,676],{"className":630},[402],[354,632],{"className":633,"style":634},[406],"height:0.8974em;vertical-align:-0.0833em;",[354,636,638,641],{"className":637},[411],[354,639,385],{"className":640},[411],[354,642,644],{"className":643},[461],[354,645,647],{"className":646},[423],[354,648,650],{"className":649},[428],[354,651,654],{"className":652,"style":653},[432],"height:0.8141em;",[354,655,657,661],{"style":656},"top:-3.063em;margin-right:0.05em;",[354,658],{"className":659,"style":660},[440],"height:2.7em;",[354,662,664],{"className":663},[445,446,447,448],[354,665,599],{"className":666},[411,448],[354,668],{"className":669,"style":671},[670],"mspace","margin-right:0.2222em;",[354,673,603],{"className":674},[675],"mbin",[354,677],{"className":678,"style":671},[670],[354,680,682,686,689,693,697],{"className":681},[402],[354,683],{"className":684,"style":685},[406],"height:0.6444em;",[354,687,606],{"className":688},[411],[354,690],{"className":691,"style":692},[670],"margin-right:0.2778em;",[354,694,609],{"className":695},[696],"mrel",[354,698],{"className":699,"style":692},[670],[354,701,703,707,710,713,716],{"className":702},[402],[354,704],{"className":705,"style":706},[406],"height:0.7278em;vertical-align:-0.0833em;",[354,708,612],{"className":709},[411],[354,711],{"className":712,"style":671},[670],[354,714,603],{"className":715},[675],[354,717],{"className":718,"style":671},[670],[354,720,722,725,728,731,734],{"className":721},[402],[354,723],{"className":724,"style":685},[406],[354,726,606],{"className":727},[411],[354,729],{"className":730,"style":692},[670],[354,732,609],{"className":733},[696],[354,735],{"className":736,"style":692},[670],[354,738,740,743],{"className":739},[402],[354,741],{"className":742,"style":685},[406],[354,744,621],{"className":745},[411],",指数位的数值取值范围是",[354,748,750,777],{"className":749},[357],[354,751,753],{"className":752},[361],[363,754,755],{"xmlns":365},[367,756,757,774],{},[370,758,759,763,766,769,771],{},[601,760,762],{"stretchy":761},"false","[",[383,764,765],{},"0",[601,767,768],{"separator":398},",",[383,770,621],{},[601,772,773],{"stretchy":761},"]",[390,775,776],{"encoding":392},"[0, 255]",[354,778,780],{"className":779,"ariaHidden":398},[397],[354,781,783,787,790,793,797,801,804],{"className":782},[402],[354,784],{"className":785,"style":786},[406],"height:1em;vertical-align:-0.25em;",[354,788,762],{"className":789},[415],[354,791,765],{"className":792},[411],[354,794,768],{"className":795},[796],"mpunct",[354,798],{"className":799,"style":800},[670],"margin-right:0.1667em;",[354,802,621],{"className":803},[411],[354,805,773],{"className":806},[532],[306,808,809,810,869],{},"需要映射到",[354,811,813,839],{"className":812},[357],[354,814,816],{"className":815},[361],[363,817,818],{"xmlns":365},[367,819,820,836],{},[370,821,822,824,826,829,831,834],{},[601,823,762],{"stretchy":761},[601,825,603],{},[383,827,828],{},"126",[601,830,768],{"separator":398},[383,832,833],{},"127",[601,835,773],{"stretchy":761},[390,837,838],{"encoding":392},"[-126,127]",[354,840,842],{"className":841,"ariaHidden":398},[397],[354,843,845,848,851,854,857,860,863,866],{"className":844},[402],[354,846],{"className":847,"style":786},[406],[354,849,762],{"className":850},[415],[354,852,603],{"className":853},[411],[354,855,828],{"className":856},[411],[354,858,768],{"className":859},[796],[354,861],{"className":862,"style":800},[670],[354,864,833],{"className":865},[411],[354,867,773],{"className":868},[532],"这个范围之内，因此需要加偏置bias = 127",[287,871,873],{"start":872},2,[290,874,875,876],{},"这个值对于一个位宽为e的数来说",[354,877,879,908],{"className":878},[357],[354,880,882],{"className":881},[361],[363,883,884],{"xmlns":365},[367,885,886,905],{},[370,887,888,901,903],{},[380,889,890,892],{},[383,891,385],{},[370,893,894,897,899],{},[376,895,896],{},"e",[601,898,603],{},[383,900,606],{},[601,902,603],{},[383,904,606],{},[390,906,907],{"encoding":392},"{2^{e-1} - 1}",[354,909,911],{"className":910,"ariaHidden":398},[397],[354,912,914,917],{"className":913},[402],[354,915],{"className":916,"style":634},[406],[354,918,920,958,961,964,967],{"className":919},[411],[354,921,923,926],{"className":922},[411],[354,924,385],{"className":925},[411],[354,927,929],{"className":928},[461],[354,930,932],{"className":931},[423],[354,933,935],{"className":934},[428],[354,936,938],{"className":937,"style":653},[432],[354,939,940,943],{"style":656},[354,941],{"className":942,"style":660},[440],[354,944,946],{"className":945},[445,446,447,448],[354,947,949,952,955],{"className":948},[411,448],[354,950,896],{"className":951},[411,487,448],[354,953,603],{"className":954},[675,448],[354,956,606],{"className":957},[411,448],[354,959],{"className":960,"style":671},[670],[354,962,603],{"className":963},[675],[354,965],{"className":966,"style":671},[670],[354,968,606],{"className":969},[411],[283,971,972],{"type":577},[306,973,974,975,746,1058,1162,1163,1267,1268,1512,1513,1684,1685],{},"例如对于 exp e位，最大指数位为",[354,976,978,1000],{"className":977},[357],[354,979,981],{"className":980},[361],[363,982,983],{"xmlns":365},[367,984,985,997],{},[370,986,987,993,995],{},[380,988,989,991],{},[383,990,385],{},[376,992,896],{},[601,994,603],{},[383,996,606],{},[390,998,999],{"encoding":392},"2^e - 1",[354,1001,1003,1049],{"className":1002,"ariaHidden":398},[397],[354,1004,1006,1010,1040,1043,1046],{"className":1005},[402],[354,1007],{"className":1008,"style":1009},[406],"height:0.7477em;vertical-align:-0.0833em;",[354,1011,1013,1016],{"className":1012},[411],[354,1014,385],{"className":1015},[411],[354,1017,1019],{"className":1018},[461],[354,1020,1022],{"className":1021},[423],[354,1023,1025],{"className":1024},[428],[354,1026,1029],{"className":1027,"style":1028},[432],"height:0.6644em;",[354,1030,1031,1034],{"style":656},[354,1032],{"className":1033,"style":660},[440],[354,1035,1037],{"className":1036},[445,446,447,448],[354,1038,896],{"className":1039},[411,487,448],[354,1041],{"className":1042,"style":671},[670],[354,1044,603],{"className":1045},[675],[354,1047],{"className":1048,"style":671},[670],[354,1050,1052,1055],{"className":1051},[402],[354,1053],{"className":1054,"style":685},[406],[354,1056,606],{"className":1057},[411],[354,1059,1061,1091],{"className":1060},[357],[354,1062,1064],{"className":1063},[361],[363,1065,1066],{"xmlns":365},[367,1067,1068,1088],{},[370,1069,1070,1072,1074,1076,1082,1084,1086],{},[601,1071,762],{"stretchy":761},[383,1073,765],{},[601,1075,768],{"separator":398},[380,1077,1078,1080],{},[383,1079,385],{},[376,1081,896],{},[601,1083,603],{},[383,1085,606],{},[601,1087,773],{"stretchy":761},[390,1089,1090],{"encoding":392},"[0, 2^e - 1]",[354,1092,1094,1150],{"className":1093,"ariaHidden":398},[397],[354,1095,1097,1100,1103,1106,1109,1112,1141,1144,1147],{"className":1096},[402],[354,1098],{"className":1099,"style":786},[406],[354,1101,762],{"className":1102},[415],[354,1104,765],{"className":1105},[411],[354,1107,768],{"className":1108},[796],[354,1110],{"className":1111,"style":800},[670],[354,1113,1115,1118],{"className":1114},[411],[354,1116,385],{"className":1117},[411],[354,1119,1121],{"className":1120},[461],[354,1122,1124],{"className":1123},[423],[354,1125,1127],{"className":1126},[428],[354,1128,1130],{"className":1129,"style":1028},[432],[354,1131,1132,1135],{"style":656},[354,1133],{"className":1134,"style":660},[440],[354,1136,1138],{"className":1137},[445,446,447,448],[354,1139,896],{"className":1140},[411,487,448],[354,1142],{"className":1143,"style":671},[670],[354,1145,603],{"className":1146},[675],[354,1148],{"className":1149,"style":671},[670],[354,1151,1153,1156,1159],{"className":1152},[402],[354,1154],{"className":1155,"style":786},[406],[354,1157,606],{"className":1158},[411],[354,1160,773],{"className":1161},[532],",去除头和尾（000...0 111...1）之后就是",[354,1164,1166,1196],{"className":1165},[357],[354,1167,1169],{"className":1168},[361],[363,1170,1171],{"xmlns":365},[367,1172,1173,1193],{},[370,1174,1175,1177,1179,1181,1187,1189,1191],{},[601,1176,762],{"stretchy":761},[383,1178,606],{},[601,1180,768],{"separator":398},[380,1182,1183,1185],{},[383,1184,385],{},[376,1186,896],{},[601,1188,603],{},[383,1190,385],{},[601,1192,773],{"stretchy":761},[390,1194,1195],{"encoding":392},"[1, 2^e - 2]",[354,1197,1199,1255],{"className":1198,"ariaHidden":398},[397],[354,1200,1202,1205,1208,1211,1214,1217,1246,1249,1252],{"className":1201},[402],[354,1203],{"className":1204,"style":786},[406],[354,1206,762],{"className":1207},[415],[354,1209,606],{"className":1210},[411],[354,1212,768],{"className":1213},[796],[354,1215],{"className":1216,"style":800},[670],[354,1218,1220,1223],{"className":1219},[411],[354,1221,385],{"className":1222},[411],[354,1224,1226],{"className":1225},[461],[354,1227,1229],{"className":1228},[423],[354,1230,1232],{"className":1231},[428],[354,1233,1235],{"className":1234,"style":1028},[432],[354,1236,1237,1240],{"style":656},[354,1238],{"className":1239,"style":660},[440],[354,1241,1243],{"className":1242},[445,446,447,448],[354,1244,896],{"className":1245},[411,487,448],[354,1247],{"className":1248,"style":671},[670],[354,1250,603],{"className":1251},[675],[354,1253],{"className":1254,"style":671},[670],[354,1256,1258,1261,1264],{"className":1257},[402],[354,1259],{"className":1260,"style":786},[406],[354,1262,385],{"className":1263},[411],[354,1265,773],{"className":1266},[532],"，左右两边同时减去",[354,1269,1271,1325],{"className":1270},[357],[354,1272,1274],{"className":1273},[361],[363,1275,1276],{"xmlns":365},[367,1277,1278,1322],{},[370,1279,1280,1298,1301,1303,1319],{},[370,1281,1282,1294,1296],{},[380,1283,1284,1286],{},[383,1285,385],{},[370,1287,1288,1290,1292],{},[376,1289,896],{},[601,1291,603],{},[383,1293,606],{},[601,1295,603],{},[383,1297,606],{},[601,1299,1300],{"stretchy":761},"(",[601,1302,609],{},[373,1304,1305,1317],{},[370,1306,1307,1313,1315],{},[380,1308,1309,1311],{},[383,1310,385],{},[376,1312,896],{},[601,1314,603],{},[383,1316,385],{},[383,1318,385],{},[601,1320,1321],{"stretchy":761},")",[390,1323,1324],{"encoding":392},"{2^{e-1} - 1}(= \\frac{2^e - 2}{2})",[354,1326,1328,1397],{"className":1327,"ariaHidden":398},[397],[354,1329,1331,1335,1388,1391,1394],{"className":1330},[402],[354,1332],{"className":1333,"style":1334},[406],"height:1.0641em;vertical-align:-0.25em;",[354,1336,1338,1376,1379,1382,1385],{"className":1337},[411],[354,1339,1341,1344],{"className":1340},[411],[354,1342,385],{"className":1343},[411],[354,1345,1347],{"className":1346},[461],[354,1348,1350],{"className":1349},[423],[354,1351,1353],{"className":1352},[428],[354,1354,1356],{"className":1355,"style":653},[432],[354,1357,1358,1361],{"style":656},[354,1359],{"className":1360,"style":660},[440],[354,1362,1364],{"className":1363},[445,446,447,448],[354,1365,1367,1370,1373],{"className":1366},[411,448],[354,1368,896],{"className":1369},[411,487,448],[354,1371,603],{"className":1372},[675,448],[354,1374,606],{"className":1375},[411,448],[354,1377],{"className":1378,"style":671},[670],[354,1380,603],{"className":1381},[675],[354,1383],{"className":1384,"style":671},[670],[354,1386,606],{"className":1387},[411],[354,1389,1300],{"className":1390},[415],[354,1392,609],{"className":1393},[696],[354,1395],{"className":1396,"style":692},[670],[354,1398,1400,1404,1509],{"className":1399},[402],[354,1401],{"className":1402,"style":1403},[406],"height:1.256em;vertical-align:-0.345em;",[354,1405,1407,1410,1506],{"className":1406},[411],[354,1408],{"className":1409},[415,416],[354,1411,1413],{"className":1412},[373],[354,1414,1416,1497],{"className":1415},[423,424],[354,1417,1419,1494],{"className":1418},[428],[354,1420,1423,1438,1446],{"className":1421,"style":1422},[432],"height:0.911em;",[354,1424,1426,1429],{"style":1425},"top:-2.655em;",[354,1427],{"className":1428,"style":441},[440],[354,1430,1432],{"className":1431},[445,446,447,448],[354,1433,1435],{"className":1434},[411,448],[354,1436,385],{"className":1437},[411,448],[354,1439,1440,1443],{"style":491},[354,1441],{"className":1442,"style":441},[440],[354,1444],{"className":1445,"style":499},[498],[354,1447,1448,1451],{"style":502},[354,1449],{"className":1450,"style":441},[440],[354,1452,1454],{"className":1453},[445,446,447,448],[354,1455,1457,1488,1491],{"className":1456},[411,448],[354,1458,1460,1463],{"className":1459},[411,448],[354,1461,385],{"className":1462},[411,448],[354,1464,1466],{"className":1465},[461],[354,1467,1469],{"className":1468},[423],[354,1470,1472],{"className":1471},[428],[354,1473,1476],{"className":1474,"style":1475},[432],"height:0.7385em;",[354,1477,1479,1482],{"style":1478},"top:-2.931em;margin-right:0.0714em;",[354,1480],{"className":1481,"style":478},[440],[354,1483,1485],{"className":1484},[445,482,483,448],[354,1486,896],{"className":1487},[411,487,448],[354,1489,603],{"className":1490},[675,448],[354,1492,385],{"className":1493},[411,448],[354,1495,519],{"className":1496},[518],[354,1498,1500],{"className":1499},[428],[354,1501,1504],{"className":1502,"style":1503},[432],"height:0.345em;",[354,1505],{},[354,1507],{"className":1508},[532,416],[354,1510,1321],{"className":1511},[532],"即可得到原来的指数位",[354,1514,1516,1560],{"className":1515},[357],[354,1517,1519],{"className":1518},[361],[363,1520,1521],{"xmlns":365},[367,1522,1523,1557],{},[370,1524,1525,1527,1529,1531,1537,1539,1541,1543,1545,1551,1553,1555],{},[601,1526,762],{"stretchy":761},[601,1528,603],{},[601,1530,1300],{"stretchy":761},[380,1532,1533,1535],{},[383,1534,385],{},[376,1536,896],{},[601,1538,603],{},[383,1540,385],{},[601,1542,1321],{"stretchy":761},[601,1544,768],{"separator":398},[380,1546,1547,1549],{},[383,1548,385],{},[376,1550,896],{},[601,1552,603],{},[383,1554,606],{},[601,1556,773],{"stretchy":761},[390,1558,1559],{"encoding":392},"[-(2^e - 2), 2^e - 1]",[354,1561,1563,1616,1672],{"className":1562,"ariaHidden":398},[397],[354,1564,1566,1569,1572,1575,1578,1607,1610,1613],{"className":1565},[402],[354,1567],{"className":1568,"style":786},[406],[354,1570,762],{"className":1571},[415],[354,1573,603],{"className":1574},[411],[354,1576,1300],{"className":1577},[415],[354,1579,1581,1584],{"className":1580},[411],[354,1582,385],{"className":1583},[411],[354,1585,1587],{"className":1586},[461],[354,1588,1590],{"className":1589},[423],[354,1591,1593],{"className":1592},[428],[354,1594,1596],{"className":1595,"style":1028},[432],[354,1597,1598,1601],{"style":656},[354,1599],{"className":1600,"style":660},[440],[354,1602,1604],{"className":1603},[445,446,447,448],[354,1605,896],{"className":1606},[411,487,448],[354,1608],{"className":1609,"style":671},[670],[354,1611,603],{"className":1612},[675],[354,1614],{"className":1615,"style":671},[670],[354,1617,1619,1622,1625,1628,1631,1634,1663,1666,1669],{"className":1618},[402],[354,1620],{"className":1621,"style":786},[406],[354,1623,385],{"className":1624},[411],[354,1626,1321],{"className":1627},[532],[354,1629,768],{"className":1630},[796],[354,1632],{"className":1633,"style":800},[670],[354,1635,1637,1640],{"className":1636},[411],[354,1638,385],{"className":1639},[411],[354,1641,1643],{"className":1642},[461],[354,1644,1646],{"className":1645},[423],[354,1647,1649],{"className":1648},[428],[354,1650,1652],{"className":1651,"style":1028},[432],[354,1653,1654,1657],{"style":656},[354,1655],{"className":1656,"style":660},[440],[354,1658,1660],{"className":1659},[445,446,447,448],[354,1661,896],{"className":1662},[411,487,448],[354,1664],{"className":1665,"style":671},[670],[354,1667,603],{"className":1668},[675],[354,1670],{"className":1671,"style":671},[670],[354,1673,1675,1678,1681],{"className":1674},[402],[354,1676],{"className":1677,"style":786},[406],[354,1679,606],{"className":1680},[411],[354,1682,773],{"className":1683},[532],",所以偏置值就是",[354,1686,1688,1715],{"className":1687},[357],[354,1689,1691],{"className":1690},[361],[363,1692,1693],{"xmlns":365},[367,1694,1695,1713],{},[370,1696,1697,1709,1711],{},[380,1698,1699,1701],{},[383,1700,385],{},[370,1702,1703,1705,1707],{},[376,1704,896],{},[601,1706,603],{},[383,1708,606],{},[601,1710,603],{},[383,1712,606],{},[390,1714,907],{"encoding":392},[354,1716,1718],{"className":1717,"ariaHidden":398},[397],[354,1719,1721,1724],{"className":1720},[402],[354,1722],{"className":1723,"style":634},[406],[354,1725,1727,1765,1768,1771,1774],{"className":1726},[411],[354,1728,1730,1733],{"className":1729},[411],[354,1731,385],{"className":1732},[411],[354,1734,1736],{"className":1735},[461],[354,1737,1739],{"className":1738},[423],[354,1740,1742],{"className":1741},[428],[354,1743,1745],{"className":1744,"style":653},[432],[354,1746,1747,1750],{"style":656},[354,1748],{"className":1749,"style":660},[440],[354,1751,1753],{"className":1752},[445,446,447,448],[354,1754,1756,1759,1762],{"className":1755},[411,448],[354,1757,896],{"className":1758},[411,487,448],[354,1760,603],{"className":1761},[675,448],[354,1763,606],{"className":1764},[411,448],[354,1766],{"className":1767,"style":671},[670],[354,1769,603],{"className":1770},[675],[354,1772],{"className":1773,"style":671},[670],[354,1775,606],{"className":1776},[411],[287,1778,1779],{},[290,1780,1781],{},"尾数（小数点）编码忽略了前导位1，即尾数编码只考虑小数点之后的部分",[302,1783,1784],{"id":1784},"举例说明",[306,1786,1787],{},[309,1788],{"alt":311,"src":1789},"\u002Fimg\u002FHDL\u002FLecture13-07.png",[302,1791,1792],{"id":1792},"非规范数",[306,1794,1795],{},[309,1796],{"alt":311,"src":1797},"\u002Fimg\u002FHDL\u002FLecture13-08.png",[287,1799,1800,1808,1816],{},[290,1801,1802,1803],{},"非规范数就是指数位全部是0，即",[553,1804,1805],{},[316,1806,1807],{},"当指数位全部是0的时候，进入非规范表示法",[290,1809,1810,1811],{},"此时代表指数位数为1-Bias ,小数将表示为0.xxxx 注意此时是",[553,1812,1813],{},[316,1814,1815],{},"0.x  是以0开头的0.x",[290,1817,1818,1819],{},"精度丧失问题\n",[309,1820],{"alt":311,"src":1821},"\u002Fimg\u002FHDL\u002FLecture13-09.png",[1823,1824,1826],"h6",{"id":1825},"举例说明-1",[316,1827,1784],{},[306,1829,1830],{},[309,1831],{"alt":311,"src":1832},"\u002Fimg\u002FHDL\u002FLecture13-10.png",[302,1834,1835],{"id":1835},"特殊值",[306,1837,1838],{},[309,1839],{"alt":311,"src":1840},"\u002Fimg\u002FHDL\u002FLecture13-11.png",[287,1842,1843,1846],{},[290,1844,1845],{},"当指数位全是1时，若小数位全是0，那么则代表无穷，正负无穷由符号位决定",[290,1847,1848],{},"当指数位全是1，但小数位不为0时，代表无法确定的数值NAN",[278,1850,1851],{"id":1851},"总结",[302,1853,1854],{"id":1854},"编码范围",[306,1856,1857],{},[309,1858],{"alt":311,"src":1859},"\u002Fimg\u002FHDL\u002FLecture13-12.png",[302,1861,1862],{"id":1862},"数值分布",[320,1864,1865],{"style":322},[324,1866,1867],{},[327,1868,330,1869,330,1877],{"style":329},[332,1870,1872,330],{"style":1871},"width: 57.4%; text-align: center; border: none; padding: 0.3em; margin: 0;",[306,1873,1874],{},[309,1875],{"alt":311,"src":1876},"\u002Fimg\u002FHDL\u002FLecture13-13.png",[332,1878,1880,330],{"style":1879},"width: 42.6%; text-align: center; border: none; padding: 0.3em; margin: 0;",[306,1881,1882],{},[309,1883],{"alt":311,"src":1884},"\u002Fimg\u002FHDL\u002FLecture13-14.png",{"title":1886,"searchDepth":1887,"depth":1887,"links":1888},"",4,[1889],{"id":272,"depth":872,"text":272,"children":1890},[1891],{"id":276,"depth":1892,"text":276,"children":1893},3,[1894,1898,1903],{"id":280,"depth":1887,"text":281,"children":1895},[1896],{"id":304,"depth":1897,"text":304},5,{"id":543,"depth":1887,"text":543,"children":1899},[1900,1901,1902],{"id":1784,"depth":1897,"text":1784},{"id":1792,"depth":1897,"text":1792},{"id":1835,"depth":1897,"text":1835},{"id":1851,"depth":1887,"text":1851,"children":1904},[1905,1906],{"id":1854,"depth":1897,"text":1854},{"id":1862,"depth":1897,"text":1862},[228],"IEEE 浮点数标准的表示与运算","md",null,{"slots":1912},{},{"text":1914,"minutes":1915,"time":1916,"words":1917},"3 min read",2.575,154500,515,{"title":201,"description":1908},{"loc":200,"images":1920},[1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934],{"loc":312},{"loc":339},{"loc":347},{"loc":540},{"loc":548},{"loc":562},{"loc":1789},{"loc":1797},{"loc":1821},{"loc":1832},{"loc":1840},{"loc":1859},{"loc":1876},{"loc":1884},[272,1936,1937],"HDL","课程笔记","tech","kg-mHOvNNlsfnpfEaY2tnsAodJIz2bF3dGunlP0fDRk",[1941,1942],{"title":206,"path":205,"stem":204,"date":207,"type":1938,"children":-1},{"title":186,"path":185,"stem":184,"date":187,"type":1938,"children":-1},1789037801660]