33. AB
35. The truth table below represents a circuit which will be
Solution:
encountered in digital computers. Notice, there are three
A 1 output occurs
binary variables, A, B, and K. The possible truth
in the CARRY
column when A is
1 and B is 1;
thus, the Boolean
A
B
K
SUM
CARRY
product for this
0
0
0
0
0
condition is AB.
0
0
1
1
0
0
1
0
1
0
0
1
1
0
1
1
0
0
1
0
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1
34.
To derive a minterm expression for the SUM-output column,
first write the Boolean product for each output which is a 1
a. X(X+Y) =X
in the SUM column. After the Boolean product is written for
1
each 1 output, the outputs are ORed together to form a
1
1
minterm expression. The SUM-output minterm expression
1
b. Yes.
derived from the truth table above is
ABK + ABK + ABK + ABK
Derive the minterm expression from the CARRY output of
the truth table above.
IT 0346
1-24
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