Transfer 1100111101.001 from binary in octal number system

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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:

001100111101.0012 = 001 100 111 101. 001 = 001(=1) 100(=4) 111(=7) 101(=5). 001(=1) = 1475.18

the Final answer: 1100111101.0012 = 1475.18

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

let\'s translate to decimal like this:

0∙211+0∙210+1∙29+1∙28+0∙27+0∙26+1∙25+1∙24+1∙23+1∙22+0∙21+1∙20+0∙2-1+0∙2-2+1∙2-3 = 0∙2048+0∙1024+1∙512+1∙256+0∙128+0∙64+1∙32+1∙16+1∙8+1∙4+0∙2+1∙1+0∙0.5+0∙0.25+1∙0.125 = 0+0+512+256+0+0+32+16+8+4+0+1+0+0+0.125 = 829.12510

got It: 001100111101.0012 =829.12510

Translate the number 829.12510 в octal like this:

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

8298
-8241038
5-96128
7-81
4
Перевод чисел из одной системы счисления в другую

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

 Transferring numbers from one number system to another
0.125*8
1.0*8

the result of the conversion was:

829.12510 = 1475.18
the Final answer: 1100111101.0012 = 1475.18
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