Transfer 80.CD 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: 80.CD₁₆ =128.80078125₁₀

Translate the number 128.80078125₁₀ в binary like this:

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

128	2
-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.	80078125*2
	1	.60156*2
	1	.20313*2
	0	.40625*2
	0	.8125*2
	1	.625*2
	1	.25*2
	0	.5*2
	1	.0*2

the result of the conversion was: