Find the 2 byte (16bit) representation of 1001.1011?

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solidair1996

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Mar 9, 2016
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[h=1]Find the 2 byte (16bit) representation of 1001.10111 using 1bit for the sign, 5bits for the characteristic and 10bits for the mantissa?[/h][FONT=&quot]there is one thing i dont understand about this. [/FONT]

[FONT=&quot]i have the following answers here: [/FONT]

[FONT=&quot]0.1001 1011 10 x 2^4 [/FONT]

[FONT=&quot]c= b+e [/FONT]
[FONT=&quot]=2^(n-1) - 1 + e [/FONT]
[FONT=&quot]=2^(5-1) - 1 + 4 [/FONT]
[FONT=&quot]= 10000 - 1 + 4 [/FONT]
[FONT=&quot]= 10000 + 3 [/FONT]

[FONT=&quot]What i dont understand is how the answer came up to 11 [/FONT]
[FONT=&quot]= 10000 + 11 [/FONT]
[FONT=&quot]= 10011 [/FONT]

[FONT=&quot]PLEASE HELP. i have the test tomorrow and this question will be very similar. I understand every process except the part where 11 is introduced!! [/FONT]

[FONT=&quot]Need help asap [/FONT]
[FONT=&quot]thanks![/FONT]
 
These are in base 2. You understand that don't you? And 3= 2+ 1 is "11" in base 2.
 
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