Transfer 725.876 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: 725.876₁₆ =1829.52880859375₁₀

Translate the number 1829.52880859375₁₀ в binary like this:

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

1829	2
-1828	914	2
1	-914	457	2
	0	-456	228	2
		1	-228	114	2
			0	-114	57	2
				0	-56	28	2
					1	-28	14	2
						0	-14	7	2
							0	-6	3	2
								1	-2	1
									1

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

	0.	52880859375*2
	1	.05762*2
	0	.11523*2
	0	.23047*2
	0	.46094*2
	0	.92188*2
	1	.84375*2
	1	.6875*2
	1	.375*2
	0	.75*2
	1	.5*2

the result of the conversion was: