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:
1∙811+1∙810+0∙89+0∙88+1∙87+1∙86+0∙85+1∙84+0∙83+1∙82+1∙81+1∙80+1∙8-1+0∙8-2+0∙8-3+0∙8-4+0∙8-5+0∙8-6+1∙8-7+0∙8-8+1∙8-9+0∙8-10+0∙8-11+1∙8-12 = 1∙8589934592+1∙1073741824+0∙134217728+0∙16777216+1∙2097152+1∙262144+0∙32768+1∙4096+0∙512+1∙64+1∙8+1∙1+1∙0.125+0∙0.015625+0∙0.001953125+0∙0.000244140625+0∙3.0517578125E-5+0∙3.814697265625E-6+1∙4.7683715820312E-7+0∙5.9604644775391E-8+1∙7.4505805969238E-9+0∙9.3132257461548E-10+0∙1.1641532182693E-10+1∙1.4551915228367E-11 = 8589934592+1073741824+0+0+2097152+262144+0+4096+0+64+8+1+0.125+0+0+0+0+0+4.7683715820312E-7+0+7.4505805969238E-9+0+0+1.4551915228367E-11 = 9666039881.1250004843022910
got It: 110011010111.1000001010018 =9666039881.1250004843022910
Translate the number 9666039881.1250004843022910 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
9666039881 | 16 | | | | | | | | |
-9666039872 | 604127492 | 16 | | | | | | | |
9 | -604127488 | 37757968 | 16 | | | | | | |
| 4 | -37757968 | 2359873 | 16 | | | | | |
| | 0 | -2359872 | 147492 | 16 | | | | |
| | | 1 | -147488 | 9218 | 16 | | | |
| | | | 4 | -9216 | 576 | 16 | | |
| | | | | 2 | -576 | 36 | 16 | |
| | | | | | 0 | -32 | 2 | |
| | | | | | | 4 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 12500048430229*16 |
2 | .00001*16 |
0 | .00012*16 |
0 | .00198*16 |
0 | .03174*16 |
0 | .50783*16 |
8 | .12524*16 |
2 | .00391*16 |
0 | .0625*16 |
0 | .99995*16 |
F | .99921*16 |
the result of the conversion was:
9666039881.1250004843022910 = 240241049.200008200F16
answer: 110011010111.1000001010018 = 240241049.200008200F16
now let\'s make the transfer using the decimal system.
let\'s do a direct translation from octal to binary like this:
110011010111.1000001010018 = 1 1 0 0 1 1 0 1 0 1 1 1. 1 0 0 0 0 0 1 0 1 0 0 1 = 1(=001) 1(=001) 0(=000) 0(=000) 1(=001) 1(=001) 0(=000) 1(=001) 0(=000) 1(=001) 1(=001) 1(=001). 1(=001) 0(=000) 0(=000) 0(=000) 0(=000) 0(=000) 1(=001) 0(=000) 1(=001) 0(=000) 0(=000) 1(=001) = 001001000000001001000001000001001001.0010000000000000000010000010000000012
answer: 110011010111.1000001010018 = 1001000000001001000001000001001001.0010000000000000000010000010000000012
Fill in the number with missing zeros on the left
let\'s do a direct translation from binary to hexadecimal like this:
001001000000001001000001000001001001.0010000000000000000010000010000000012 = 0010 0100 0000 0010 0100 0001 0000 0100 1001. 0010 0000 0000 0000 0000 1000 0010 0000 0001 = 0010(=2) 0100(=4) 0000(=0) 0010(=2) 0100(=4) 0001(=1) 0000(=0) 0100(=4) 1001(=9). 0010(=2) 0000(=0) 0000(=0) 0000(=0) 0000(=0) 1000(=8) 0010(=2) 0000(=0) 0001(=1) = 240241049.20000820116
answer: 001001000000001001000001000001001001.0010000000000000000010000010000000018 = 240241049.20000820116