Transfer 01100101.11011100 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:

01100101.110111002 = 0110 0101. 1101 1100 = 0110(=6) 0101(=5). 1101(=D) 1100(=C) = 65.DC16

the Final answer: 01100101.110111002 = 65.DC16

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

let's translate to decimal like this:

0∙27+1∙26+1∙25+0∙24+0∙23+1∙22+0∙21+1∙20+1∙2-1+1∙2-2+0∙2-3+1∙2-4+1∙2-5+1∙2-6+0∙2-7+0∙2-8 = 0∙128+1∙64+1∙32+0∙16+0∙8+1∙4+0∙2+1∙1+1∙0.5+1∙0.25+0∙0.125+1∙0.0625+1∙0.03125+1∙0.015625+0∙0.0078125+0∙0.00390625 = 0+64+32+0+0+4+0+1+0.5+0.25+0+0.0625+0.03125+0.015625+0+0 = 101.85937510

got It: 01100101.110111002 =101.85937510

Translate the number 101.85937510 в hexadecimal like this:

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

10116
-966
5
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
0.859375*16
D.75*16
C.0*16

the result of the conversion was:

101.85937510 = 65.DC16
the Final answer: 01100101.110111002 = 65.DC16

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