Transfer 0.7E3 from hexadecimal in binary 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 do a direct translation from hexadecimal to binary like this:

0.7E316 = 0. 7 E 3 = 0(=0000). 7(=0111) E(=1110) 3(=0011) = .0111111000112

the Final answer: 0.7E316 = .0111111000112

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

let\'s translate to decimal like this:

0∙160+7∙16-1+14∙16-2+3∙16-3 = 0∙1+7∙0.0625+14∙0.00390625+3∙0.000244140625 = 0+0.4375+0.0546875+0.000732421875 = 0.49291992187510

got It: 0.7E316 =0.49291992187510

Translate the number 0.49291992187510 в binary like this:

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

 Transferring numbers from one number system to another
0.492919921875*2
0.98584*2
1.97168*2
1.94336*2
1.88672*2
1.77344*2
1.54688*2
1.09375*2
0.1875*2
0.375*2
0.75*2

the result of the conversion was:

0.49291992187510 = 0.01111110002
the Final answer: 0.7E316 = 0.01111110002
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