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:
000000ffffff16 = 0 0 0 0 0 0 f f f f f f = 0(=0000) 0(=0000) 0(=0000) 0(=0000) 0(=0000) 0(=0000) f(=1111) f(=1111) f(=1111) f(=1111) f(=1111) f(=1111) = 1111111111111111111111112
the Final answer: 000000ffffff16 = 1111111111111111111111112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙1611+0∙1610+0∙169+0∙168+0∙167+0∙166+15∙165+15∙164+15∙163+15∙162+15∙161+15∙160 = 0∙17592186044416+0∙1099511627776+0∙68719476736+0∙4294967296+0∙268435456+0∙16777216+15∙1048576+15∙65536+15∙4096+15∙256+15∙16+15∙1 = 0+0+0+0+0+0+15728640+983040+61440+3840+240+15 = 1677721510
got It: 000000ffffff16 =1677721510
Translate the number 1677721510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
16777215 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
-16777214 | 8388607 | 2 | | | | | | | | | | | | | | | | | | | | | | |
1 | -8388606 | 4194303 | 2 | | | | | | | | | | | | | | | | | | | | | |
| 1 | -4194302 | 2097151 | 2 | | | | | | | | | | | | | | | | | | | | |
| | 1 | -2097150 | 1048575 | 2 | | | | | | | | | | | | | | | | | | | |
| | | 1 | -1048574 | 524287 | 2 | | | | | | | | | | | | | | | | | | |
| | | | 1 | -524286 | 262143 | 2 | | | | | | | | | | | | | | | | | |
| | | | | 1 | -262142 | 131071 | 2 | | | | | | | | | | | | | | | | |
| | | | | | 1 | -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:
1677721510 = 1111111111111111111111112
the Final answer: 000000ffffff16 = 1111111111111111111111112