Transfer 100000000.0000111 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: 100000000.0000111₁₆ =4294967296.1.0170042514801E-6₁₀

Translate the number 4294967296.1.0170042514801E-6₁₀ в binary like this:

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

4294967296	2
-4294967296	2147483648	2
0	-2147483648	1073741824	2
	0	-1073741824	536870912	2
		0	-536870912	268435456	2
			0	-268435456	134217728	2
				0	-134217728	67108864	2
					0	-67108864	33554432	2
						0	-33554432	16777216	2
							0	-16777216	8388608	2
								0	-8388608	4194304	2
									0	-4194304	2097152	2
										0	-2097152	1048576	2
											0	-1048576	524288	2
												0	-524288	262144	2
													0	-262144	131072	2
														0	-131072	65536	2
															0	-65536	32768	2
																0	-32768	16384	2
																	0	-16384	8192	2
																		0	-8192	4096	2
																			0	-4096	2048	2
																				0	-2048	1024	2
																					0	-1024	512	2
																						0	-512	256	2
																							0	-256	128	2
																								0	-128	64	2
																									0	-64	32	2
																										0	-32	16	2
																											0	-16	8	2
																												0	-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.	1.0170042514801E-6*2
	0	.2*2
	0	.4*2
	0	.8*2
	1	.6*2
	1	.2*2
	0	.4*2
	0	.8*2
	1	.6*2
	1	.2*2
	0	.4*2

the result of the conversion was: