This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
let\'s do a direct translation from hexadecimal to binary like this:
4050000016 = 4 0 5 0 0 0 0 0 = 4(=0100) 0(=0000) 5(=0101) 0(=0000) 0(=0000) 0(=0000) 0(=0000) 0(=0000) = 10000000101000000000000000000002
answer: 4050000016 = 10000000101000000000000000000002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
4∙167+0∙166+5∙165+0∙164+0∙163+0∙162+0∙161+0∙160 = 4∙268435456+0∙16777216+5∙1048576+0∙65536+0∙4096+0∙256+0∙16+0∙1 = 1073741824+0+5242880+0+0+0+0+0 = 107898470410
got It: 4050000016 =107898470410
Translate the number 107898470410 в binary like this:
the Integer part of the number is divided by the base of the new number system:
1078984704 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-1078984704 | 539492352 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
0 | -539492352 | 269746176 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -269746176 | 134873088 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | 0 | -134873088 | 67436544 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | 0 | -67436544 | 33718272 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | 0 | -33718272 | 16859136 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | 0 | -16859136 | 8429568 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | 0 | -8429568 | 4214784 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | 0 | -4214784 | 2107392 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | 0 | -2107392 | 1053696 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | 0 | -1053696 | 526848 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | 0 | -526848 | 263424 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | 0 | -263424 | 131712 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | 0 | -131712 | 65856 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | 0 | -65856 | 32928 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | 0 | -32928 | 16464 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | 0 | -16464 | 8232 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | 0 | -8232 | 4116 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | 0 | -4116 | 2058 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | 0 | -2058 | 1029 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | 0 | -1028 | 514 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | 1 | -514 | 257 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | 0 | -256 | 128 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | 1 | -128 | 64 | 2 | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | 0 | -64 | 32 | 2 | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | 0 | -32 | 16 | 2 | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | 0 | -16 | 8 | 2 | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -8 | 4 | 2 | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -4 | 2 | 2 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | | |
|
the result of the conversion was:
107898470410 = 10000000101000000000000000000002
answer: 4050000016 = 10000000101000000000000000000002