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Signed Magnitude Numbers
Discussion of signed magnitude involves the classification of the numbers in digital
system as signed or unsigned. Examples here
In un-signed number system all the bits directly correspond to the equivalent decimal
100011 binary = 35 decimal
000011 binary = 3 decimal
In signed number system the most significant bit (msb) bit signifies sign of all
lower significant bit (lsb) bits for the number.
100011 binary = -3 decimal
000011 binary = +3 decimal
In Digital Systems the negative numbers can be represented by following three ways:-
-3 in signed magnitude value 10011
-3 in signed 1’s complement value 11100
-3 in signed 2’s complement value 11101
Few rules to know for arithmetic addition of two numbers using signed magnitude.
Rule 1:- If one of the numbers to be added is negative then take signed 2’s complement
of the number.
Rule 2:- If any ‘end carry’… discard it.
Rule 3:- If the MSB of result after discarding ‘end carry’ is 1 then take 2’s complement
of the remaining bits.
Overflow condition and detection rules.