Using a Karnaugh map, find a minimum SOP expression for f(A,B,C,D) = m0+D1+ m2 + D3+D6 +D7 +m8+m9 +m10+D11+m15. O!B!D+!BD + CD O !A!B+A!B+CD O !B+ CD O !A!B + AB + C!D O !A!D+A!B!CD + ABCD OB+CD+ !AC OB Find a minimum SOP expression for f(A, B, C, D = A!B!C + ABD + BCD + !A!B!C!D. O A!B!C + ABD + BCD + !A!B!C!D O !A!B!C!D+AB!C + A!CD + !ABC!D+A!BC!D O !B!C!D+A!CD + BCD + A!B!C O AD + BC O A!CD + BCD + !A!B!C!D + A!B!C!D O !AD+ !B!C O !B!C.D+A!Ch+ BCD O !B!C!D + A!CD + BCD + ABD Draw out the circuit for the following equation: f(A, B) = AB+-A-B. Then, draw a timing diagram for the same circuit. How many different waveforms (including the waveforms for the inputs) showing the values that the various wires in the circuit take on have you drawn? For the following timing diagram, synthesize the function f(A, B, C) in the simplest SOP form. DO O ABC OA OB!C + AB+ !A!BC OB!C + AB + A!C + !A!BC !A!BC + AB!C+A!B!C + AB!C + ABC O !A!B!C O !A!B!C + !ABC + ABC O B!C + AB + AIC