Transfer 011110101100.10100100 from binary in hexadecimal number system

This transfer is possible in two ways: direct transfer and using the decimal system.

first, let\'s make a direct transfer.

Fill in the number with missing zeros on the left

Fill in the number with missing zeros on the right

let\'s do a direct translation from binary to hexadecimal like this:

011110101100.10100100₂ = 0111 1010 1100. 1010 0100 = 0111₍₌₇₎ 1010_(=A) 1100_(=C). 1010_(=A) 0100₍₌₄₎ = 7AC.A4₁₆

the Final answer: 011110101100.10100100₂ = 7AC.A4₁₆

now let\'s make the transfer using the decimal system.

let\'s translate to decimal like this:

0∙2¹¹+1∙2¹⁰+1∙2⁹+1∙2⁸+1∙2⁷+0∙2⁶+1∙2⁵+0∙2⁴+1∙2³+1∙2²+0∙2¹+0∙2⁰+1∙2^-1+0∙2^-2+1∙2^-3+0∙2^-4+0∙2^-5+1∙2^-6+0∙2^-7+0∙2^-8 = 0∙2048+1∙1024+1∙512+1∙256+1∙128+0∙64+1∙32+0∙16+1∙8+1∙4+0∙2+0∙1+1∙0.5+0∙0.25+1∙0.125+0∙0.0625+0∙0.03125+1∙0.015625+0∙0.0078125+0∙0.00390625 = 0+1024+512+256+128+0+32+0+8+4+0+0+0.5+0+0.125+0+0+0.015625+0+0 = 1964.640625₁₀

got It: 011110101100.10100100₂ =1964.640625₁₀

Translate the number 1964.640625₁₀ в hexadecimal like this:

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

1964	16
-1952	122	16
C	-112	7
	A

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


	0.	640625*16
	A	.25*16
	4	.0*16

the result of the conversion was:

1964.640625₁₀ = 7AC.A4₁₆

the Final answer: 011110101100.10100100₂ = 7AC.A4₁₆

0
(	)	^	←
C	±	÷	X
7	8	9	-
4	5	6	+
1	2	3	=
0		.	=