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:
48C16 = 4 8 C = 4(=0100) 8(=1000) C(=1100) = 100100011002
answer: 48C16 = 100100011002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
4∙162+8∙161+12∙160 = 4∙256+8∙16+12∙1 = 1024+128+12 = 116410
got It: 48C16 =116410
Translate the number 116410 в binary like this:
the Integer part of the number is divided by the base of the new number system:
1164 | 2 | | | | | | | | | | |
-1164 | 582 | 2 | | | | | | | | | |
0 | -582 | 291 | 2 | | | | | | | | |
| 0 | -290 | 145 | 2 | | | | | | | |
| | 1 | -144 | 72 | 2 | | | | | | |
| | | 1 | -72 | 36 | 2 | | | | | |
| | | | 0 | -36 | 18 | 2 | | | | |
| | | | | 0 | -18 | 9 | 2 | | | |
| | | | | | 0 | -8 | 4 | 2 | | |
| | | | | | | 1 | -4 | 2 | 2 | |
| | | | | | | | 0 | -2 | 1 | |
| | | | | | | | | 0 | | |
|
the result of the conversion was:
116410 = 100100011002
answer: 48C16 = 100100011002