Write down an expression for F(X,Y,Z) in (a) sum of minterms form and (b) product of maxterms form for the truth table below: 4. Y F 1 1 1 1 0. 1 1 1 1 1 1 1 1 1 1 1 1 1

Fill in the truth table for the function f (a, b, c) = a '(b + c) + abc' a b c f 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1

Provide truth table for A-F and OUT A. F OUT A E D В. F A OUT В E

Using Boolean algebra simplify the following expression: ABCD + AB(CD) + (AB)CD

For the following Truth Table, use a Karnaugh map to find the minimum Boolean expressions for outputs x and y in terms of inputs a, b, and/or constants, as appropriate. ab x 0001 y 01 00 10 00 11 00

SHOW ALL STEPS:Using the following truth table, write the equivalent Boolean equations in Sum of Product and Product of Sum forms x y z F 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 0

4. Using truth table, prove the following expression x(y+z) = xy+xz

Construct table of minterms and maxterms for 4 variables - x,y,z,w Obtain the truth table of the following functions, and express each function in sum-of-minterms (canonical SOP) and product-of-maxterms ( canonical POS) form: a) (xy+z)(y+x'z) b) (x+y)(y'+z) c) x'z+wx'y+wyz'+w'y' d) (xy+yz'+x'z)(x+z) Simplify the following Boolean functions T1 and T2 to a minimum number of literals: T2 0 0 0 1 1 1 1 1 A OOO 0 0 0 LLLL 1 1 1 1 B 0 0 1 1 0 0 1 1 C 0 1 0 1 0 1 اهای 1 T1 1 1 1 0 0 0 0 0

9. Give a truth table and a standard sum of products expressions form (min-terms) that describes F(A,B,C) = A OBOC

Using the following truth table, write the equivalent Boolean equations in Sum of Product and Product of Sum forms x y z F 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 0

9. Given the following Boolean Function: F(A, B, C) = AB+B(Ā+C) Determine the canonical form for the SOP (sum of minterms) and POS (product of maxterms). Also, draw the truth tables showing the minterms and maxterms.