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:
1001010116 = 1 0 0 1 0 1 0 1 = 1(=0001) 0(=0000) 0(=0000) 1(=0001) 0(=0000) 1(=0001) 0(=0000) 1(=0001) = 100000000000100000001000000012
the Final answer: 1001010116 = 100000000000100000001000000012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙167+0∙166+0∙165+1∙164+0∙163+1∙162+0∙161+1∙160 = 1∙268435456+0∙16777216+0∙1048576+1∙65536+0∙4096+1∙256+0∙16+1∙1 = 268435456+0+0+65536+0+256+0+1 = 26850124910
got It: 1001010116 =26850124910
Translate the number 26850124910 в binary like this:
the Integer part of the number is divided by the base of the new number system:
268501249 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-268501248 | 134250624 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
1 | -134250624 | 67125312 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -67125312 | 33562656 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| | 0 | -33562656 | 16781328 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | | 0 | -16781328 | 8390664 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | | 0 | -8390664 | 4195332 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | | 0 | -4195332 | 2097666 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | | 0 | -2097666 | 1048833 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | | 0 | -1048832 | 524416 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | | 1 | -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:
26850124910 = 100000000000100000001000000012
the Final answer: 1001010116 = 100000000000100000001000000012