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.
When the signs are changed in a Boolean expression, group the
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:
IT 0344
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