Question

Express the boolean function F= A+B'C in SSOP form
A. ABC + ABC'+ AB'C + AB'C'+ A'B'C
B. ABC + A'BC'+ AB'C + AB'C'+ A'B'C
C. A'BC + A'BC'+ AB'C + AB'C'+ A'B'C
D. ABC + A'BC'+ AB'C + AB'C'+ A'B'C'

Answer 1

given function F=A+B'C , find its SSOP form

Explanation:

1. SSOP stands for Standard Sum Of Products form. It is formed by summation of the min-terms for the function which gives output true and is also known as sum of min terms or canonical disjunctive normal form (CDNF).  
2. forming the truth table for the given function  $F=A+B'C$  we have,                         $ABC\ F\\fff\ f\\fft\ t\ ->m_1\\ ftf\ f\\ftt\ f\\tff\ t\ ->m_4\\tft\ t\ ->m_5\\ttf\ t\ ->m_6\\ttt\ t \ ->m_7$      
3. hence, SSOP is given by $F=m_1+m_4+m_5+m_6+m_7$                                    
4. from truth table we have, $m_1=A'B'C,m_4=AB'C',m_5=AB'C,m_6=ABC'\ and\ m_7=ABC$
5. hence the given function in SSOP form is                                                           $F=A'B'C+AB'C'+AB'C+ABC'+ABC$