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:
f3a7c216 = f 3 a 7 c 2 = f(=1111) 3(=0011) a(=1010) 7(=0111) c(=1100) 2(=0010) = 1111001110100111110000102
answer: f3a7c216 = 1111001110100111110000102
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
15∙165+3∙164+10∙163+7∙162+12∙161+2∙160 = 15∙1048576+3∙65536+10∙4096+7∙256+12∙16+2∙1 = 15728640+196608+40960+1792+192+2 = 1596819410
got It: f3a7c216 =1596819410
Translate the number 1596819410 в binary like this:
the Integer part of the number is divided by the base of the new number system:
15968194 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
-15968194 | 7984097 | 2 | | | | | | | | | | | | | | | | | | | | | | |
0 | -7984096 | 3992048 | 2 | | | | | | | | | | | | | | | | | | | | | |
| 1 | -3992048 | 1996024 | 2 | | | | | | | | | | | | | | | | | | | | |
| | 0 | -1996024 | 998012 | 2 | | | | | | | | | | | | | | | | | | | |
| | | 0 | -998012 | 499006 | 2 | | | | | | | | | | | | | | | | | | |
| | | | 0 | -499006 | 249503 | 2 | | | | | | | | | | | | | | | | | |
| | | | | 0 | -249502 | 124751 | 2 | | | | | | | | | | | | | | | | |
| | | | | | 1 | -124750 | 62375 | 2 | | | | | | | | | | | | | | | |
| | | | | | | 1 | -62374 | 31187 | 2 | | | | | | | | | | | | | | |
| | | | | | | | 1 | -31186 | 15593 | 2 | | | | | | | | | | | | | |
| | | | | | | | | 1 | -15592 | 7796 | 2 | | | | | | | | | | | | |
| | | | | | | | | | 1 | -7796 | 3898 | 2 | | | | | | | | | | | |
| | | | | | | | | | | 0 | -3898 | 1949 | 2 | | | | | | | | | | |
| | | | | | | | | | | | 0 | -1948 | 974 | 2 | | | | | | | | | |
| | | | | | | | | | | | | 1 | -974 | 487 | 2 | | | | | | | | |
| | | | | | | | | | | | | | 0 | -486 | 243 | 2 | | | | | | | |
| | | | | | | | | | | | | | | 1 | -242 | 121 | 2 | | | | | | |
| | | | | | | | | | | | | | | | 1 | -120 | 60 | 2 | | | | | |
| | | | | | | | | | | | | | | | | 1 | -60 | 30 | 2 | | | | |
| | | | | | | | | | | | | | | | | | 0 | -30 | 15 | 2 | | | |
| | | | | | | | | | | | | | | | | | | 0 | -14 | 7 | 2 | | |
| | | | | | | | | | | | | | | | | | | | 1 | -6 | 3 | 2 | |
| | | | | | | | | | | | | | | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | 1 | | |
|
the result of the conversion was:
1596819410 = 1111001110100111110000102
answer: f3a7c216 = 1111001110100111110000102