Explain signed binary number system.

Ans.

Signed Binary Numbers: In decimal number system positive numbers are signified by (+) sign and negative numbers are represented by negative sign Digital circuits understand only the language of 0's and 1's. Therefore normally an additional bit is utilized for sign and this is placed at the most significant position.

1. A 'O' is utilized for positive numbers and 1 is for negative numbers. For illustration an eight bit signed number 00000100 shows +4 and 10000100 shows (-4). This representation is termed as sign magnitude number. Three various ways by that signed numbers are presented are given.

2. One's  compliment representation: In  this system the positive numbers are shown by their  Binary equivalent with a 0 placed on most significant position to represent the negative numbers compliment is taken and than a '1' is placed as MSB to represent the negative sign. For illustration

+7 = (0111)₂

- 7 = (1000)₂

3. Two's Compliment presentation: If 1 is added number is termed as I's compliment of the binary number. For illustration 2's compliment representation of 0101 is 1011. Because 0101 shows (+5)₁₀ hence 1011 shows (-5)₁₀ in two's compliment representation.