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القناة الأساسية
@stepbystep001

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digital computers work only with binary numbers
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chapter2 👇
complements are used in digital computers for simplifying the substraction operation and for logical manipulations
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the r's complement of N is defined as

**** r ==> radix or base n ==> number of fields N ==> Number
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r^n - N
30%
r^n - N - 1
8%
r^n - N +1
the r-1's complement of N is defined by

*** r ==> radix or base n ==> number of fields in the integral part m ==> number of fields in the fractional part N ==> Number
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11%
r^m - r^n - n
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r^n - r^-m - N
29%
r^n - r^m - N
4%
r^-n - r^m - N
لاي رقم عموما تقدر تجيبله الr و الr-1 كومبليمينت بالصيغتين دول سواء بقى الارقام فيها جزء عشري او لا
r ==> r^n - N
r-1 ==> r^n - r^-m - N

******
r: radix or base
n: number of fields in the integral part
m: number of fields in the fractional part
N: Number
******

نفترض انك بتجيب لرقم عشري بس يبقى ال n=0 وساعتها ... r^n=1 لان اي حاجة اس صفر بتساوي واحد
نفترض انك بتجيب لرقم صحيح بس يبقى الm=0 فحالة انك بتجيب الr-1's complement وساعتها r^-m=1
نفترض انك بتجيب لرقم فيه جزء صحيح وجزء عشري هتعوض فالقانونين من غير مشاكل
In subtraction with r's complement if an end carry occurs
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add 1 to the lsd (End arround carry)
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discard it
In subtraction with r's complement if an end carry ....... take the r's complement of the final number and place a negative sign
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occurs
66%
doesn't occur
the ... 's complement has the advantage of being easier to implement by digital components
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1
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the ..'s complement is advantageous in that only arithmetic addition operation is required
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80%
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the ..'s complement requires two arithmetic additions when an end around carry occurs
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1
40%
2
A binary number of n digits may be represented by .. binary circuit elements each having an output signal equivalent to 0 or 1
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n
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n^2
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2^n
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Any discrete information element distinct among a group of quantites can be represented by a binary code
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To represent a group of 2^n distnict elements in a binary code requires a minimum of ... bits
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n
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n^2
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2^n
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binary codes for decimal digits require a minimum of .. bits
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n
11%
n^2
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2^n
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It's possible to assign negative weights to a decimal code
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the weighted code 5043210 is called
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Excess-3
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Biquinary
30%
Other
A decimal code that has been used in some old computers is
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Excess-3
7%
Biquinary
7%
Other
the conversion of decimal 13 is
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1101
19%
00010011
the coding of decimal 13 is
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1101
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00010011