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:
0100100016 = 0 1 0 0 1 0 0 0 = 0(=0000) 1(=0001) 0(=0000) 0(=0000) 1(=0001) 0(=0000) 0(=0000) 0(=0000) = 10000000000010000000000002
the Final answer: 0100100016 = 10000000000010000000000002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙167+1∙166+0∙165+0∙164+1∙163+0∙162+0∙161+0∙160 = 0∙268435456+1∙16777216+0∙1048576+0∙65536+1∙4096+0∙256+0∙16+0∙1 = 0+16777216+0+0+4096+0+0+0 = 1678131210
got It: 0100100016 =1678131210
Translate the number 1678131210 в binary like this:
the Integer part of the number is divided by the base of the new number system:
16781312 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
-16781312 | 8390656 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
0 | -8390656 | 4195328 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -4195328 | 2097664 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | 0 | -2097664 | 1048832 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | 0 | -1048832 | 524416 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | 0 | -524416 | 262208 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | 0 | -262208 | 131104 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | 0 | -131104 | 65552 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | 0 | -65552 | 32776 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | 0 | -32776 | 16388 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | 0 | -16388 | 8194 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | 0 | -8194 | 4097 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | 0 | -4096 | 2048 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | 1 | -2048 | 1024 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | 0 | -1024 | 512 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | 0 | -512 | 256 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | 0 | -256 | 128 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | 0 | -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:
1678131210 = 10000000000010000000000002
the Final answer: 0100100016 = 10000000000010000000000002