Transfer 000100000000.00001110 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

Fill in the number with missing zeros on the right

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

000100000000.000011102 = 0001 0000 0000. 0000 1110 = 0001(=1) 0000(=0) 0000(=0). 0000(=0) 1110(=E) = 100.0E16

the Final answer: 000100000000.000011102 = 100.0E16

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

let\'s translate to decimal like this:

0∙211+0∙210+0∙29+1∙28+0∙27+0∙26+0∙25+0∙24+0∙23+0∙22+0∙21+0∙20+0∙2-1+0∙2-2+0∙2-3+0∙2-4+1∙2-5+1∙2-6+1∙2-7+0∙2-8 = 0∙2048+0∙1024+0∙512+1∙256+0∙128+0∙64+0∙32+0∙16+0∙8+0∙4+0∙2+0∙1+0∙0.5+0∙0.25+0∙0.125+0∙0.0625+1∙0.03125+1∙0.015625+1∙0.0078125+0∙0.00390625 = 0+0+0+256+0+0+0+0+0+0+0+0+0+0+0+0+0.03125+0.015625+0.0078125+0 = 256.054687510

got It: 000100000000.000011102 =256.054687510

Translate the number 256.054687510 в hexadecimal like this:

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

 256 16 -256 16 16 0 -16 1 0

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

 0. 0546875*16 0 .875*16 E .0*16

the result of the conversion was:

256.054687510 = 100.0E16
the Final answer: 000100000000.000011102 = 100.0E16
Permanent link to the result of this calculation

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