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Aim: To design and construct half adder, full adder, half subtractor and full subtractor circuits and
verify the truth table using logic gates.
Tools: Cadence NC-SIM
THEORY: The half adder circuit adds two binary digits & produces a sum (Σ) & a carry output
(Co).
The full adder adds the bits A & B &Carry (Ci). It generates a sum (Σ) and a Carry output (CO).
A half Subtractor is an arithmetic circuit that subtracts one bit from another bit, producing a
difference bit (D) and borrow bit (Bo).
It is an arithmetic circuit that subtracts one bit fromanother bit taking into consideration the
borrow (Bo) from the column. It produces a difference bit (D) and a borrow bit (Bo) required for
the next higher column.
Waveforms:
Half Adder:
A=0;B=1;
A=1;B=0;
Full Adder:
A=0;B=1;C=0;
A=1;B=0;C=0;
Half Subtractor:
A=0;B=0;
A=0;B=1;
Full Subtractor:
A=0;B=0;C=1;
A=1;B=0;C=0;
Application’s: Adding binary numbers
Name: N.Pavan Section: E1305 Roll No. : 30

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Adders and subtractors in vlsi design