Problems are from the required book:

2.27,2.29,2.33,2.35c

,

d

(only),

2.52,2.54,2.58

\ 2.27 Use algebraic manipulation to convert the following equation to sum-of-products\ form:

F=a(b+c)(d^('))+ac^(')(b+d)

\ 2.29 Use DeMorgan's Law to find the inverse of the following equation:\

F=abc+a^(')b

. Reduce to sum-of-products form. Hint: Start with

F^(')=(abc+a^(')b)^(')

.\ 2.33 Create a Boolean equation representation for the\ digital circuit in Figure 2.79. Inputs are a,b,c. The output is\ G.\ 2.35 Convert each of the following Boolean equations to a truth table:\ c.

F(a,b,c)=ab+ac+ab^(')c^(')+c^(')

\ d.

F(a,b,c,d)=a^(')bc+d^(')

\ 2.52. Determine whether the two circuits in Figure 2.81 are equivalent circuits using: (a) algebraic\ manipulation, and (b) truth tables. Inputs are

a,b,c,d

. The outputs are

F

and

G

. The input of the last\ NAND gate/second figure is connected to logic 1.