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:
ffff800016 = f f f f 8 0 0 0 = f(=1111) f(=1111) f(=1111) f(=1111) 8(=1000) 0(=0000) 0(=0000) 0(=0000) = 111111111111111110000000000000002
answer: ffff800016 = 111111111111111110000000000000002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
15∙167+15∙166+15∙165+15∙164+8∙163+0∙162+0∙161+0∙160 = 15∙268435456+15∙16777216+15∙1048576+15∙65536+8∙4096+0∙256+0∙16+0∙1 = 4026531840+251658240+15728640+983040+32768+0+0+0 = 429493452810
got It: ffff800016 =429493452810
Translate the number 429493452810 в binary like this:
the Integer part of the number is divided by the base of the new number system:
4294934528 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-4294934528 | 2147467264 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
0 | -2147467264 | 1073733632 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -1073733632 | 536866816 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | 0 | -536866816 | 268433408 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | 0 | -268433408 | 134216704 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | 0 | -134216704 | 67108352 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | 0 | -67108352 | 33554176 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | 0 | -33554176 | 16777088 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | 0 | -16777088 | 8388544 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | 0 | -8388544 | 4194272 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | 0 | -4194272 | 2097136 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | 0 | -2097136 | 1048568 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | 0 | -1048568 | 524284 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | 0 | -524284 | 262142 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | 0 | -262142 | 131071 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | 0 | -131070 | 65535 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | 1 | -65534 | 32767 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | 1 | -32766 | 16383 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | 1 | -16382 | 8191 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | 1 | -8190 | 4095 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | 1 | -4094 | 2047 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | 1 | -2046 | 1023 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | 1 | -1022 | 511 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | 1 | -510 | 255 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | 1 | -254 | 127 | 2 | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | 1 | -126 | 63 | 2 | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | 1 | -62 | 31 | 2 | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -30 | 15 | 2 | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -14 | 7 | 2 | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -6 | 3 | 2 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | | |
|
the result of the conversion was:
429493452810 = 111111111111111110000000000000002
answer: ffff800016 = 111111111111111110000000000000002