Transfer 10110010.001100001000 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 right

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

10110010.0011000010002 = 1011 0010. 0011 0000 1000 = 1011(=B) 0010(=2). 0011(=3) 0000(=0) 1000(=8) = B2.30816

the Final answer: 10110010.0011000010002 = B2.30816

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

let\'s translate to decimal like this:

1∙27+0∙26+1∙25+1∙24+0∙23+0∙22+1∙21+0∙20+0∙2-1+0∙2-2+1∙2-3+1∙2-4+0∙2-5+0∙2-6+0∙2-7+0∙2-8+1∙2-9+0∙2-10+0∙2-11+0∙2-12 = 1∙128+0∙64+1∙32+1∙16+0∙8+0∙4+1∙2+0∙1+0∙0.5+0∙0.25+1∙0.125+1∙0.0625+0∙0.03125+0∙0.015625+0∙0.0078125+0∙0.00390625+1∙0.001953125+0∙0.0009765625+0∙0.00048828125+0∙0.000244140625 = 128+0+32+16+0+0+2+0+0+0+0.125+0.0625+0+0+0+0+0.001953125+0+0+0 = 178.18945312510

got It: 10110010.0011000010002 =178.18945312510

Translate the number 178.18945312510 в hexadecimal like this:

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

17816
-176B
2
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
0.189453125*16
3.03125*16
0.5*16
8.0*16

the result of the conversion was:

178.18945312510 = B2.30816
the Final answer: 10110010.0011000010002 = B2.30816
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