随意转换之简单算法二进制与十进制

1、十进制表示法: 103=1000 102=100 101=10 100=1 6= 6100 22= 2101+2100 358= 3102+5101+81004699=4103+6102+9101+9100.1二进制表示法: 210=1024 29=512 28=256 27=128 26=64 25=32 24=16 23=8 22=4 21=2 20=1 2二进制转换成十进制1= 120 =1 11=121+120 =3101= 122+021+120 =51111= 123+122+121+1 20 =1510101=124+023+122+021+1 20 =21110110=125+

2、124+023+122+121+020 =541111101=126+125+124+123+122+021+120 =12511111101=127+126+125+124+123+122+021 +1 20 =2533十进制转二进制 210=1024 29=512 28=256 27=128 26=64 25=32 24=16 23=8 22=4 21=2 20=1 5= 122+021+120 =10120= 124+023+122+021+020 =1010052= 125+ 124+023+122+021+020 =110100180=127+026+ 125+ 124+023+12

3、2+021+020 =101101001716=1210+129+028+127+026+ 125+ 124+023+122+021+020 =11010110100.4十进制转二进制 具体方法以此为基础: 210=1024 29=512 28=256 27=128 26=64 25=32 24=16 23=8 22=4 21=2 20=1举例详解: (180)10=180-27=52-25=20-24=4-22=0 = (1(7)01(5)1(4)01(2)00)2 ( 255)10=255-27=127-26=63-25=31-24=15-23=7-22=3-21=1-20=0 =(1(7

4、)1(6)1(5)1(4)1(3)1(2)1(1)0)2 (1279)10=1279-210=255-27=127-26=63-25=31-24=15-23=7-22=3-21=1-20=0=(1(10)001(7)1(6)1(5)1(4)1(3)1(2)1(1)0)2 5小数点后具体表示十进制表示:10-1=0.1 10-2=0.01 10-3=0.001 10-4=0.0001二进制表示:2-1=0.5 2-2=0.25 2-3=0.125 2-4=0.0625 2-5=0.03125 2-6=0.015625 2-7=0.00781256小数后两者之转换二进制转换成十进制: (0.11)2 =0.5+0.25=(0.75)10(0.101)2 =0.5+0.125=(0.625)10(0.1011)2 =0.5+0.125+0.0625=(0.6875)10(0.10111)2 =0.5+0.125+0.0625+0.03125 =(0.71875)10.7小数点后两者之转换十进制转换成二进制: (0.5)10=2-1=(0.1)2(0.75)10=2-1+2-2=(0.11)2(0.875)10=2-1+2-2+2-3=(0.111)2(0.90625)10=2