Transfer 36A2.B3 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:

36A2.B316 = 3 6 A 2. B 3 = 3(=0011) 6(=0110) A(=1010) 2(=0010). B(=1011) 3(=0011) = 11011010100010.101100112

the Final answer: 36A2.B316 = 11011010100010.101100112

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

let\'s translate to decimal like this:

3∙163+6∙162+10∙161+2∙160+11∙16-1+3∙16-2 = 3∙4096+6∙256+10∙16+2∙1+11∙0.0625+3∙0.00390625 = 12288+1536+160+2+0.6875+0.01171875 = 13986.6992187510

got It: 36A2.B316 =13986.6992187510

Translate the number 13986.6992187510 в binary like this:

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

139862
-1398669932
0-699234962
1-349617482
0-17488742
0-8744372
0-4362182
1-2181092
0-108542
1-54272
0-26132
1-1262
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
0.69921875*2
1.39844*2
0.79688*2
1.59375*2
1.1875*2
0.375*2
0.75*2
1.5*2
1.0*2

the result of the conversion was:

13986.6992187510 = 11011010100010.101100112
the Final answer: 36A2.B316 = 11011010100010.101100112
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