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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 click here

Un-signed Numbers:

In un-signed number system all the bits directly correspond to the equivalent decimal number.

Examples:

100011 binary = 35 decimal

000011 binary = 3 decimal

Signed Numbers:

In signed number system the most significant bit (msb) bit signifies sign of all lower significant bit (lsb) bits for the number. 

Examples:

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.