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:
2B516 = 2 B 5 = 2(=0010) B(=1011) 5(=0101) = 10101101012
answer: 2B516 = 10101101012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
2∙162+11∙161+5∙160 = 2∙256+11∙16+5∙1 = 512+176+5 = 69310
got It: 2B516 =69310
Translate the number 69310 в binary like this:
the Integer part of the number is divided by the base of the new number system:
693 | 2 | | | | | | | | | |
-692 | 346 | 2 | | | | | | | | |
1 | -346 | 173 | 2 | | | | | | | |
| 0 | -172 | 86 | 2 | | | | | | |
| | 1 | -86 | 43 | 2 | | | | | |
| | | 0 | -42 | 21 | 2 | | | | |
| | | | 1 | -20 | 10 | 2 | | | |
| | | | | 1 | -10 | 5 | 2 | | |
| | | | | | 0 | -4 | 2 | 2 | |
| | | | | | | 1 | -2 | 1 | |
| | | | | | | | 0 | | |
|
the result of the conversion was:
69310 = 10101101012
answer: 2B516 = 10101101012