KEY EXAM POINT BOOLEAN ALGEBRA COMPUTER SCIENC CALSS 12TH

1.A circuit which take digital input and output is also digital value is known as digital circuit.2.digital circuit can be express in form of Boolean expression or digital expression .3.boolean can be expressed in either of two form
1.sop(sum of product)  2. POS(product of sum)4.sop expression is summation of product term
5. product term named is min term.like
 i.e.  m0 +m2+m4+m76. POS  expression is multiplication of summation term .
7. summation term knwn as Max term
8. max term is start with M followed numeric value .M6,M99.demoragan theorem says
   (A+B)’=A’.B’   ,(AB)=A’+B’10 duality rules1)replace . with +,and + with . 2)replace 1with 0 and 0 with 1Like 1.B+0A  will 0+B.0+ADistributed law:   ..x(y+z)=xy+xz,x+yz=(x+y)(x+z)Associated law:       X+Y+Z=X+Z+Y11.gate are digital circuit designed by semiconductor device and those behavior is predefined .  Basic gate is AND ,OR, NOT12 universal gate is nand and nor13 universal gate can design any digital circuit.14 any circuit can be verified
15 karnaugh map is graphical way to reduce Boolean expression .