Transfer 10100111001.110 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:

010100111001.1102 = 010 100 111 001. 110 = 010(=2) 100(=4) 111(=7) 001(=1). 110(=6) = 2471.68

the Final answer: 10100111001.1102 = 2471.68

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

let\'s translate to decimal like this:

0∙211+1∙210+0∙29+1∙28+0∙27+0∙26+1∙25+1∙24+1∙23+0∙22+0∙21+1∙20+1∙2-1+1∙2-2+0∙2-3 = 0∙2048+1∙1024+0∙512+1∙256+0∙128+0∙64+1∙32+1∙16+1∙8+0∙4+0∙2+1∙1+1∙0.5+1∙0.25+0∙0.125 = 0+1024+0+256+0+0+32+16+8+0+0+1+0.5+0.25+0 = 1337.7510

got It: 010100111001.1102 =1337.7510

Translate the number 1337.7510 в octal like this:

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

13378
-13361678
1-160208
7-162
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
0.75*8
6.0*8

the result of the conversion was:

1337.7510 = 2471.68
the Final answer: 10100111001.1102 = 2471.68
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