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:
73116 = 7 3 1 = 7(=0111) 3(=0011) 1(=0001) = 111001100012
answer: 73116 = 111001100012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
7∙162+3∙161+1∙160 = 7∙256+3∙16+1∙1 = 1792+48+1 = 184110
got It: 73116 =184110
Translate the number 184110 в binary like this:
the Integer part of the number is divided by the base of the new number system:
1841 | 2 | | | | | | | | | | |
-1840 | 920 | 2 | | | | | | | | | |
1 | -920 | 460 | 2 | | | | | | | | |
| 0 | -460 | 230 | 2 | | | | | | | |
| | 0 | -230 | 115 | 2 | | | | | | |
| | | 0 | -114 | 57 | 2 | | | | | |
| | | | 1 | -56 | 28 | 2 | | | | |
| | | | | 1 | -28 | 14 | 2 | | | |
| | | | | | 0 | -14 | 7 | 2 | | |
| | | | | | | 0 | -6 | 3 | 2 | |
| | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | 1 | | |
|
the result of the conversion was:
184110 = 111001100012
answer: 73116 = 111001100012