# 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:

 13986 2 -13986 6993 2 0 -6992 3496 2 1 -3496 1748 2 0 -1748 874 2 0 -874 437 2 0 -436 218 2 1 -218 109 2 0 -108 54 2 1 -54 27 2 0 -26 13 2 1 -12 6 2 1 -6 3 2 0 -2 1 1

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

 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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