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:
45F627C816 = 4 5 F 6 2 7 C 8 = 4(=0100) 5(=0101) F(=1111) 6(=0110) 2(=0010) 7(=0111) C(=1100) 8(=1000) = 10001011111011000100111110010002
answer: 45F627C816 = 10001011111011000100111110010002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
4∙167+5∙166+15∙165+6∙164+2∙163+7∙162+12∙161+8∙160 = 4∙268435456+5∙16777216+15∙1048576+6∙65536+2∙4096+7∙256+12∙16+8∙1 = 1073741824+83886080+15728640+393216+8192+1792+192+8 = 117375994410
got It: 45F627C816 =117375994410
Translate the number 117375994410 в binary like this:
the Integer part of the number is divided by the base of the new number system:
1173759944 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-1173759944 | 586879972 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
0 | -586879972 | 293439986 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -293439986 | 146719993 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | 0 | -146719992 | 73359996 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | 1 | -73359996 | 36679998 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | 0 | -36679998 | 18339999 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | 0 | -18339998 | 9169999 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | 1 | -9169998 | 4584999 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | 1 | -4584998 | 2292499 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | 1 | -2292498 | 1146249 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | 1 | -1146248 | 573124 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | 1 | -573124 | 286562 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | 0 | -286562 | 143281 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | 0 | -143280 | 71640 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | 1 | -71640 | 35820 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | 0 | -35820 | 17910 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | 0 | -17910 | 8955 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | 0 | -8954 | 4477 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | 1 | -4476 | 2238 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | 1 | -2238 | 1119 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | 0 | -1118 | 559 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | 1 | -558 | 279 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | 1 | -278 | 139 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | 1 | -138 | 69 | 2 | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | 1 | -68 | 34 | 2 | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | 1 | -34 | 17 | 2 | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | 0 | -16 | 8 | 2 | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -8 | 4 | 2 | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -4 | 2 | 2 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | | |
|
the result of the conversion was:
117375994410 = 10001011111011000100111110010002
answer: 45F627C816 = 10001011111011000100111110010002