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Identify logic function given below -
  • a)
    Half Adder
  • b)
    Full Adder
  • c)
    Half Subtractor
  • d)
    Multiplier
Correct answer is option 'A'. Can you explain this answer?
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Identify logic function given below -a)Half Adderb)Full Adderc)Half Su...
Concept:
Combinational Circuit: Combinational circuit is a circuit in which we combine the different gates in the circuit, for example, Half adder, Full Adder, Half Subtractor, Full Subtractor, encoder, decoder, multiplexer, and demultiplexer.
 Half Adder:
Boolean expressions for Sum and Carry (if A and B are the inputs)
Sum = A'B + AB' = ( A ⨁ B)
Carry= AB
→ Full Adder:
Boolean expressions for Sum and Carry (if A, B and C are the                           inputs)
Sum = A'B'C + A'BC' + AB'C' + ABC
Carry= AB + BC + AC
→ Half Subtractor:
 Boolean expressions for Difference and Borrow (if A and B are the                    inputs)
Difference = A'B + AB' = ( A ⨁ B)
Borrow = A'B
Analysis:
From the given circuit diagram
    X = [(A'B)' . (AB')']'
⇒ X = [(A + B') . (A'+B)]' [∵ (AB)' = (A' + B')]
⇒ X = [ AB + A'B']' = ( A ⨀ B)' = ( A ⨁ B)
    Y = ( A' + B')' = AB
Obtained boolean expression refers to Half Adder.
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Identify logic function given below -a)Half Adderb)Full Adderc)Half Subtractord)MultiplierCorrect answer is option 'A'. Can you explain this answer?
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