Transfer 00101011.11101000 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:

00101011.111010002 = 0010 1011. 1110 1000 = 0010(=2) 1011(=B). 1110(=E) 1000(=8) = 2B.E816

the Final answer: 00101011.111010002 = 2B.E816

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

let\'s translate to decimal like this:

0∙27+0∙26+1∙25+0∙24+1∙23+0∙22+1∙21+1∙20+1∙2-1+1∙2-2+1∙2-3+0∙2-4+1∙2-5+0∙2-6+0∙2-7+0∙2-8 = 0∙128+0∙64+1∙32+0∙16+1∙8+0∙4+1∙2+1∙1+1∙0.5+1∙0.25+1∙0.125+0∙0.0625+1∙0.03125+0∙0.015625+0∙0.0078125+0∙0.00390625 = 0+0+32+0+8+0+2+1+0.5+0.25+0.125+0+0.03125+0+0+0 = 43.9062510

got It: 00101011.111010002 =43.9062510

Translate the number 43.9062510 в hexadecimal like this:

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

4316
-322
B
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
0.90625*16
E.5*16
8.0*16

the result of the conversion was:

43.9062510 = 2B.E816
the Final answer: 00101011.111010002 = 2B.E816
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