This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
let\'s translate to decimal like this:
2∙80+5∙8-1+7∙8-2+6∙8-3 = 2∙1+5∙0.125+7∙0.015625+6∙0.001953125 = 2+0.625+0.109375+0.01171875 = 2.7460937510
got It: 2.5768 =2.7460937510
Translate the number 2.7460937510 в hexadecimal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 74609375*16 |
B | .9375*16 |
F | .0*16 |
the result of the conversion was:
2.7460937510 = 2.BF16
answer: 2.5768 = 2.BF16
now let\'s make the transfer using the decimal system.
let\'s do a direct translation from octal to binary like this:
2.5768 = 2. 5 7 6 = 2(=010). 5(=101) 7(=111) 6(=110) = 010.1011111102
answer: 2.5768 = 10.101111112
Fill in the number with missing zeros on the left
let\'s do a direct translation from binary to hexadecimal like this:
0010.101111112 = 0010. 1011 1111 = 0010(=2). 1011(=B) 1111(=F) = 2.BF16
answer: 0010.101111118 = 2.BF16