This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
let\'s translate to decimal like this:
0∙811+0∙810+0∙89+1∙88+1∙87+0∙86+0∙85+0∙84+1∙83+1∙82+0∙81+1∙80+0∙8-1+1∙8-2+0∙8-3+1∙8-4+0∙8-5+1∙8-6+0∙8-7+0∙8-8 = 0∙8589934592+0∙1073741824+0∙134217728+1∙16777216+1∙2097152+0∙262144+0∙32768+0∙4096+1∙512+1∙64+0∙8+1∙1+0∙0.125+1∙0.015625+0∙0.001953125+1∙0.000244140625+0∙3.0517578125E-5+1∙3.814697265625E-6+0∙4.7683715820312E-7+0∙5.9604644775391E-8 = 0+0+0+16777216+2097152+0+0+0+512+64+0+1+0+0.015625+0+0.000244140625+0+3.814697265625E-6+0+0 = 18874945.01587295532226610
got It: 000110001101.010101008 =18874945.01587295532226610
Translate the number 18874945.01587295532226610 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
18874945 | 16 | | | | | | |
-18874944 | 1179684 | 16 | | | | | |
1 | -1179680 | 73730 | 16 | | | | |
| 4 | -73728 | 4608 | 16 | | | |
| | 2 | -4608 | 288 | 16 | | |
| | | 0 | -288 | 18 | 16 | |
| | | | 0 | -16 | 1 | |
| | | | | 2 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 015872955322266*16 |
0 | .25397*16 |
4 | .06348*16 |
1 | .01563*16 |
0 | .25*16 |
4 | .0*16 |
6 | .0*16 |
the result of the conversion was:
18874945.01587295532226610 = 1200241.04104616
answer: 000110001101.010101008 = 1200241.04104616
now let\'s make the transfer using the decimal system.
let\'s do a direct translation from octal to binary like this:
000110001101.010101008 = 0 0 0 1 1 0 0 0 1 1 0 1. 0 1 0 1 0 1 0 0 = 0(=000) 0(=000) 0(=000) 1(=001) 1(=001) 0(=000) 0(=000) 0(=000) 1(=001) 1(=001) 0(=000) 1(=001). 0(=000) 1(=001) 0(=000) 1(=001) 0(=000) 1(=001) 0(=000) 0(=000) = 000000000001001000000000001001000001.0000010000010000010000002
answer: 000110001101.010101008 = 1001000000000001001000001.0000010000010000012
Fill in the number with missing zeros on the left
Fill in the number with missing zeros on the right
let\'s do a direct translation from binary to hexadecimal like this:
0001001000000000001001000001.000001000001000001002 = 0001 0010 0000 0000 0010 0100 0001. 0000 0100 0001 0000 0100 = 0001(=1) 0010(=2) 0000(=0) 0000(=0) 0010(=2) 0100(=4) 0001(=1). 0000(=0) 0100(=4) 0001(=1) 0000(=0) 0100(=4) = 1200241.0410416
answer: 0001001000000000001001000001.000001000001000001008 = 1200241.0410416