Transfer 2EA.F65 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:

2EA.F6516 = 2 E A. F 6 5 = 2(=0010) E(=1110) A(=1010). F(=1111) 6(=0110) 5(=0101) = 1011101010.1111011001012

the Final answer: 2EA.F6516 = 1011101010.1111011001012

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

let\'s translate to decimal like this:

2∙162+14∙161+10∙160+15∙16-1+6∙16-2+5∙16-3 = 2∙256+14∙16+10∙1+15∙0.0625+6∙0.00390625+5∙0.000244140625 = 512+224+10+0.9375+0.0234375+0.001220703125 = 746.96215820312510

got It: 2EA.F6516 =746.96215820312510

Translate the number 746.96215820312510 в binary like this:

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

7462
-7463732
0-3721862
1-186932
0-92462
1-46232
0-22112
1-1052
1-422
1-21
0
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
0.962158203125*2
1.92432*2
1.84863*2
1.69727*2
1.39453*2
0.78906*2
1.57813*2
1.15625*2
0.3125*2
0.625*2
1.25*2

the result of the conversion was:

746.96215820312510 = 1011101010.11110110012
the Final answer: 2EA.F6516 = 1011101010.11110110012
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