Transfer 35e.e1 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: 35e.e1₁₆ =862.87890625₁₀

Translate the number 862.87890625₁₀ в binary like this:

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

862	2
-862	431	2
0	-430	215	2
	1	-214	107	2
		1	-106	53	2
			1	-52	26	2
				1	-26	13	2
					0	-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.	87890625*2
	1	.75781*2
	1	.51563*2
	1	.03125*2
	0	.0625*2
	0	.125*2
	0	.25*2
	0	.5*2
	1	.0*2

the result of the conversion was: