Transfer 8A.D from hexadecimal in binary number system

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:

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

let\'s translate to decimal like this:

got It: 8A.D₁₆ =138.8125₁₀

Translate the number 138.8125₁₀ в binary like this:

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

138	2
-138	69	2
0	-68	34	2
	1	-34	17	2
		0	-16	8	2
			1	-8	4	2
				0	-4	2	2
					0	-2	1
						0

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

	0.	8125*2
	1	.625*2
	1	.25*2
	0	.5*2
	1	.0*2

the result of the conversion was: