37.

(Continued)

Split or join the vincula in the Boolean expressions below, using DE

MORGAN'S THEOREM.

a. J+K+L

b. R+S+T+Y

c. DEFG

d. WRY

a. J K L

38.

b. RSTY

same variables that were originally grouped. For example:

c. D+E+F+G

AB + C = (A + B) C

d. W+R+Y

Same grouping

Split or join the vincula in the Boolean expressions below, using DE

MORGAN'S THEOREM.

a. H+SL

b. (T+V) W

c. R + LM

d. (S+T)(R+P)

a. H (S+L)

39.

If any variable in a Boolean expression has more than one vinculum

b. TV+W

over it, the expression is not in the simplest form. For example, B +

c. R (L+M)

CD is not in the simplest form, because variable B has two vincula

d. ST + RP

over it. To simplify Boolean expression B + CD, the longest vinculum

is split first by using DE MORGAN'S THEOREM, as follows:

B +CD =BCD = B (C+D)

The expression is simplified further by using the DOUBLE

NEGATIVE law, as follows: