This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
Fill in the number with missing zeros on the left
Fill in the number with missing zeros on the right
let\'s do a direct translation from binary to hexadecimal like this:
0000.011101002 = 0000. 0111 0100 = 0000(=0). 0111(=7) 0100(=4) = 0.7416
answer: 0000.011101002 = 0.7416
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙23+0∙22+0∙21+0∙20+0∙2-1+1∙2-2+1∙2-3+1∙2-4+0∙2-5+1∙2-6+0∙2-7+0∙2-8 = 0∙8+0∙4+0∙2+0∙1+0∙0.5+1∙0.25+1∙0.125+1∙0.0625+0∙0.03125+1∙0.015625+0∙0.0078125+0∙0.00390625 = 0+0+0+0+0+0.25+0.125+0.0625+0+0.015625+0+0 = 0.45312510
got It: 0000.011101002 =0.45312510
Translate the number 0.45312510 в hexadecimal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 453125*16 |
7 | .25*16 |
4 | .0*16 |
the result of the conversion was:
0.45312510 = 0.7416
answer: 0000.011101002 = 0.7416