computer architecture

atayan Styles INI TINH 2 PRE 4 $ 6 1) Use truth table to prove the following identities: (a) A.(A + B) - A (b) A + A.B = A (c) AOB = A.B + A.B' 2) Write the Boolean expression equivalent to the following logic circuits. Do not simplify: (a) AO BO 8 8 o Do Door (b) Foel (b) AO S B O c Dot 3) Draw the logic circuit realization of the following Boolean expressions as stated. Do not simplify! a) A (B+C) b) G (A+C)(B+C) 4) Using the following table obtain logical expressions for F and G (SOP). Draw the Karnaugh map for each case to obtain the simplified version of F and G and then draw the logic circuit for each function after simplification. G A 0 0 0 0 BCF 0 0 1 0 1 0 F 1 BC ea 01 11 10 0821 11 le A A 9 1 1 1