# Transfer 8B3F 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:

8B3F16 = 8 B 3 F = 8(=1000) B(=1011) 3(=0011) F(=1111) = 10001011001111112

the Final answer: 8B3F16 = 10001011001111112

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

let's translate to decimal like this:

8∙163+11∙162+3∙161+15∙160 = 8∙4096+11∙256+3∙16+15∙1 = 32768+2816+48+15 = 3564710

got It: 8B3F16 =3564710

Translate the number 3564710 в binary like this:

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

 35647 2 -35646 17823 2 1 -17822 8911 2 1 -8910 4455 2 1 -4454 2227 2 1 -2226 1113 2 1 -1112 556 2 1 -556 278 2 0 -278 139 2 0 -138 69 2 1 -68 34 2 1 -34 17 2 0 -16 8 2 1 -8 4 2 0 -4 2 2 0 -2 1 0

the result of the conversion was:

3564710 = 10001011001111112
the Final answer: 8B3F16 = 10001011001111112