Transfer 10111101.000110111000 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:

10111101.0001101110002 = 1011 1101. 0001 1011 1000 = 1011(=B) 1101(=D). 0001(=1) 1011(=B) 1000(=8) = BD.1B816

the Final answer: 10111101.0001101110002 = BD.1B816

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+1∙23+1∙22+0∙21+1∙20+0∙2-1+0∙2-2+0∙2-3+1∙2-4+1∙2-5+0∙2-6+1∙2-7+1∙2-8+1∙2-9+0∙2-10+0∙2-11+0∙2-12 = 1∙128+0∙64+1∙32+1∙16+1∙8+1∙4+0∙2+1∙1+0∙0.5+0∙0.25+0∙0.125+1∙0.0625+1∙0.03125+0∙0.015625+1∙0.0078125+1∙0.00390625+1∙0.001953125+0∙0.0009765625+0∙0.00048828125+0∙0.000244140625 = 128+0+32+16+8+4+0+1+0+0+0+0.0625+0.03125+0+0.0078125+0.00390625+0.001953125+0+0+0 = 189.10742187510

got It: 10111101.0001101110002 =189.10742187510

Translate the number 189.10742187510 в hexadecimal like this:

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

18916
-176B
D
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
0.107421875*16
1.71875*16
B.5*16
8.0*16

the result of the conversion was:

189.10742187510 = BD.1B816
the Final answer: 10111101.0001101110002 = BD.1B816
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