Transfer AEF2.B6 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: AEF2.B6₁₆ =44786.7109375₁₀

Translate the number 44786.7109375₁₀ в binary like this:

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

44786	2
-44786	22393	2
0	-22392	11196	2
	1	-11196	5598	2
		0	-5598	2799	2
			0	-2798	1399	2
				1	-1398	699	2
					1	-698	349	2
						1	-348	174	2
							1	-174	87	2
								0	-86	43	2
									1	-42	21	2
										1	-20	10	2
											1	-10	5	2
												0	-4	2	2
													1	-2	1
														0

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

	0.	7109375*2
	1	.42188*2
	0	.84375*2
	1	.6875*2
	1	.375*2
	0	.75*2
	1	.5*2
	1	.0*2

the result of the conversion was: