1) Which of the following is false? 1) Half adders and full adders are combinati
ID: 3826933 • Letter: 1
Question
1) Which of the following is false? 1) Half adders and full adders are combinational logic. 2) The number of inputs to a full adder is one more than that to a half adder. 3) Either half adder or full adder has two outputs. 4) The number of gates used in a full adder is twice as that in a half adder.
2) The Boolean expression (A'B' + AB) is equivalent to :1) A'B + AB' 2) (A + B')(A' + B) 3) A + B 4) or ?
3) What is the simplification result for Boolean Expression (A+C)(AD+AD’)+AC+C? 1) A+C 2) C 3) A+D 4) or?
Explanation / Answer
1)
3) Either half adder or full adder has two outputs.
This is wrong. Both have two output.
Ans: 2) (A + B')(A' + B)
(A'B' + AB) =>
A'A + A'B'+ AB + BB' because AA' = 0, BB' = 0
(A'+B)(A+B')
Ans: 1) A+C
(A+C)(AD+AD’)+AC+C
=> (A+C)(AD+AD’)+C [AC + C => C(A+1) => C.1 => C]
=> (A+C)[A(D+D’)]+C
=> (A+C)A + C [D+D' = 1]
=> (A+C)A + C
=> A + AC + C
=> A + C
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