Transfer 1011111000.100000111 from binary in octal 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 make a direct translation from binary to post-binary like this:

001011111000.100000111₂ = 001 011 111 000. 100 000 111 = 001₍₌₁₎ 011₍₌₃₎ 111₍₌₇₎ 000₍₌₀₎. 100₍₌₄₎ 000₍₌₀₎ 111₍₌₇₎ = 1370.407₈

the Final answer: 1011111000.100000111₂ = 1370.407₈

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

let\'s translate to decimal like this:

0∙2¹¹+0∙2¹⁰+1∙2⁹+0∙2⁸+1∙2⁷+1∙2⁶+1∙2⁵+1∙2⁴+1∙2³+0∙2²+0∙2¹+0∙2⁰+1∙2^-1+0∙2^-2+0∙2^-3+0∙2^-4+0∙2^-5+0∙2^-6+1∙2^-7+1∙2^-8+1∙2^-9 = 0∙2048+0∙1024+1∙512+0∙256+1∙128+1∙64+1∙32+1∙16+1∙8+0∙4+0∙2+0∙1+1∙0.5+0∙0.25+0∙0.125+0∙0.0625+0∙0.03125+0∙0.015625+1∙0.0078125+1∙0.00390625+1∙0.001953125 = 0+0+512+0+128+64+32+16+8+0+0+0+0.5+0+0+0+0+0+0.0078125+0.00390625+0.001953125 = 760.513671875₁₀

got It: 001011111000.100000111₂ =760.513671875₁₀

Translate the number 760.513671875₁₀ в octal like this:

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

760	8
-760	95	8
0	-88	11	8
	7	-8	1
		3

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


	0.	513671875*8
	4	.10938*8
	0	.875*8
	7	.0*8

the result of the conversion was:

760.513671875₁₀ = 1370.407₈

the Final answer: 1011111000.100000111₂ = 1370.407₈

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