Transfer 2C6B.F2 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:

2C6B.F216 = 2 C 6 B. F 2 = 2(=0010) C(=1100) 6(=0110) B(=1011). F(=1111) 2(=0010) = 10110001101011.11110012

the Final answer: 2C6B.F216 = 10110001101011.11110012

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

let\'s translate to decimal like this:

2∙163+12∙162+6∙161+11∙160+15∙16-1+2∙16-2 = 2∙4096+12∙256+6∙16+11∙1+15∙0.0625+2∙0.00390625 = 8192+3072+96+11+0.9375+0.0078125 = 11371.945312510

got It: 2C6B.F216 =11371.945312510

Translate the number 11371.945312510 в binary like this:

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

113712
-1137056852
1-568428422
1-284214212
0-14207102
1-7103552
0-3541772
1-176882
1-88442
0-44222
0-22112
0-1052
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
0.9453125*2
1.89063*2
1.78125*2
1.5625*2
1.125*2
0.25*2
0.5*2
1.0*2

the result of the conversion was:

11371.945312510 = 10110001101011.11110012
the Final answer: 2C6B.F216 = 10110001101011.11110012
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