Transfer 00111000.1001 from binary in hexadecimal number system

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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

let's do a direct translation from binary to hexadecimal like this:

00111000.10012 = 0011 1000. 1001 = 0011(=3) 1000(=8). 1001(=9) = 38.916

the Final answer: 00111000.10012 = 38.916

now let's make the transfer using the decimal system.

let's translate to decimal like this:

0∙27+0∙26+1∙25+1∙24+1∙23+0∙22+0∙21+0∙20+1∙2-1+0∙2-2+0∙2-3+1∙2-4 = 0∙128+0∙64+1∙32+1∙16+1∙8+0∙4+0∙2+0∙1+1∙0.5+0∙0.25+0∙0.125+1∙0.0625 = 0+0+32+16+8+0+0+0+0.5+0+0+0.0625 = 56.562510

got It: 00111000.10012 =56.562510

Translate the number 56.562510 в hexadecimal like this:

the Integer part of the number is divided by the base of the new number system:

5616
-483
8
Перевод чисел из одной системы счисления в другую

the Fractional part of the number is multiplied by the base of the new number system:

 Transferring numbers from one number system to another
0.5625*16
9.0*16

the result of the conversion was:

56.562510 = 38.916
the Final answer: 00111000.10012 = 38.916

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