# Transfer 00111001.0010 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:

00111001.00102 = 0011 1001. 0010 = 0011(=3) 1001(=9). 0010(=2) = 39.216

the Final answer: 00111001.00102 = 39.216

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+1∙20+0∙2-1+0∙2-2+1∙2-3+0∙2-4 = 0∙128+0∙64+1∙32+1∙16+1∙8+0∙4+0∙2+1∙1+0∙0.5+0∙0.25+1∙0.125+0∙0.0625 = 0+0+32+16+8+0+0+1+0+0+0.125+0 = 57.12510

got It: 00111001.00102 =57.12510

Translate the number 57.12510 в hexadecimal like this:

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

 57 16 -48 3 9 the Fractional part of the number is multiplied by the base of the new number system: 0. 125*16 2 .0*16

the result of the conversion was:

57.12510 = 39.216
the Final answer: 00111001.00102 = 39.216
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