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Digital Logic20795 marksNumerical: half adder derivationAdders

Derive the Boolean expression for sum and carry of half adder. Draw its combinational circuit. Implement it using only NOR gates.

Derive the Boolean expression for sum and carry of half adder. Draw its combinational circuit. Implement it using only NOR gates. [5]

  • Inputs: two single-bit binary values, $A$ and $B$ - Outputs: Sum $S$, Carry $C$ - Constraint: implement using only NOR gates All required information is present in the question. --- A B Sum (S) Carry (C) -------------------------- 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 Sum: $S = 1$ for the minterms
Up nextExpress F′=(x+y+z)′F' = (x + y + z)'F′=(x+y+z)′ as a sum of min-terms.