Transfer 35e.e1 from hexadecimal in binary 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 hexadecimal to binary like this:

35e.e116 = 3 5 e. e 1 = 3(=0011) 5(=0101) e(=1110). e(=1110) 1(=0001) = 1101011110.111000012

the Final answer: 35e.e116 = 1101011110.111000012

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

let\'s translate to decimal like this:

3∙162+5∙161+14∙160+14∙16-1+1∙16-2 = 3∙256+5∙16+14∙1+14∙0.0625+1∙0.00390625 = 768+80+14+0.875+0.00390625 = 862.8789062510

got It: 35e.e116 =862.8789062510

Translate the number 862.8789062510 в binary like this:

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

8622
-8624312
0-4302152
1-2141072
1-106532
1-52262
1-26132
0-1262
1-632
0-21
1
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
0.87890625*2
1.75781*2
1.51563*2
1.03125*2
0.0625*2
0.125*2
0.25*2
0.5*2
1.0*2

the result of the conversion was:

862.8789062510 = 1101011110.111000012
the Final answer: 35e.e116 = 1101011110.111000012
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