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# Transfer 10101110.01011100 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.

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

10101110.010111002 = 1010 1110. 0101 1100 = 1010(=A) 1110(=E). 0101(=5) 1100(=C) = AE.5C16

answer: 10101110.010111002 = AE.5C16

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

let\'s translate to decimal like this:

1∙27+0∙26+1∙25+0∙24+1∙23+1∙22+1∙21+0∙20+0∙2-1+1∙2-2+0∙2-3+1∙2-4+1∙2-5+1∙2-6+0∙2-7+0∙2-8 = 1∙128+0∙64+1∙32+0∙16+1∙8+1∙4+1∙2+0∙1+0∙0.5+1∙0.25+0∙0.125+1∙0.0625+1∙0.03125+1∙0.015625+0∙0.0078125+0∙0.00390625 = 128+0+32+0+8+4+2+0+0+0.25+0+0.0625+0.03125+0.015625+0+0 = 174.35937510

got It: 10101110.010111002 =174.35937510

Translate the number 174.35937510 в hexadecimal like this:

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

 174 16 -160 A E

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

 0. 359375*16 5 .75*16 C .0*16

the result of the conversion was:

174.35937510 = AE.5C16
answer: 10101110.010111002 = AE.5C16