Transfer 00010111011100110110.11100110 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

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

00010111011100110110.11100110₂ = 0001 0111 0111 0011 0110. 1110 0110 = 0001₍₌₁₎ 0111₍₌₇₎ 0111₍₌₇₎ 0011₍₌₃₎ 0110₍₌₆₎. 1110_(=E) 0110₍₌₆₎ = 17736.E6₁₆

the Final answer: 00010111011100110110.11100110₂ = 17736.E6₁₆

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

let\'s translate to decimal like this:

0∙2¹⁹+0∙2¹⁸+0∙2¹⁷+1∙2¹⁶+0∙2¹⁵+1∙2¹⁴+1∙2¹³+1∙2¹²+0∙2¹¹+1∙2¹⁰+1∙2⁹+1∙2⁸+0∙2⁷+0∙2⁶+1∙2⁵+1∙2⁴+0∙2³+1∙2²+1∙2¹+0∙2⁰+1∙2^-1+1∙2^-2+1∙2^-3+0∙2^-4+0∙2^-5+1∙2^-6+1∙2^-7+0∙2^-8 = 0∙524288+0∙262144+0∙131072+1∙65536+0∙32768+1∙16384+1∙8192+1∙4096+0∙2048+1∙1024+1∙512+1∙256+0∙128+0∙64+1∙32+1∙16+0∙8+1∙4+1∙2+0∙1+1∙0.5+1∙0.25+1∙0.125+0∙0.0625+0∙0.03125+1∙0.015625+1∙0.0078125+0∙0.00390625 = 0+0+0+65536+0+16384+8192+4096+0+1024+512+256+0+0+32+16+0+4+2+0+0.5+0.25+0.125+0+0+0.015625+0.0078125+0 = 96054.8984375₁₀

got It: 00010111011100110110.11100110₂ =96054.8984375₁₀

Translate the number 96054.8984375₁₀ в hexadecimal like this:

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

96054	16
-96048	6003	16
6	-6000	375	16
	3	-368	23	16
		7	-16	1
			7

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


	0.	8984375*16
	E	.375*16
	6	.0*16

the result of the conversion was:

96054.8984375₁₀ = 17736.E6₁₆

the Final answer: 00010111011100110110.11100110₂ = 17736.E6₁₆

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