Transfer 7F2.97 from hexadecimal 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.

let's translate to decimal like this:

7∙162+15∙161+2∙160+9∙16-1+7∙16-2 = 7∙256+15∙16+2∙1+9∙0.0625+7∙0.00390625 = 1792+240+2+0.5625+0.02734375 = 2034.5898437510

got It: 7F2.9716 =2034.5898437510

Translate the number 2034.5898437510 в octal like this:

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

20348
-20322548
2-248318
6-243
7
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
0.58984375*8
4.71875*8
5.75*8
6.0*8

the result of the conversion was:

2034.5898437510 = 3762.4568
the Final answer: 7F2.9716 = 3762.4568

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

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

7F2.9716 = 7 F 2. 9 7 = 7(=0111) F(=1111) 2(=0010). 9(=1001) 7(=0111) = 11111110010.100101112

the Final answer: 7F2.9716 = 11111110010.100101112

Fill in the number with missing zeros on the left

Fill in the number with missing zeros on the right

let's make a direct translation from binary to post-binary like this:

011111110010.1001011102 = 011 111 110 010. 100 101 110 = 011(=3) 111(=7) 110(=6) 010(=2). 100(=4) 101(=5) 110(=6) = 3762.4568

the Final answer: 7F2.9716 = 3762.4568

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