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Digital Logic20815 marksNumerical: Binary arithmetic operationsBinary arithmetic operations

Perform following arithmetic operation: a) 101101 + 011011 b) 101111 - 010101

Perform following arithmetic operation: a) $101101 + 011011$ b) $101111 - 010101$ [5]

  • a) $101101 + 011011$ - b) $101111 - 010101$ --- Rules: $0+0=0$, $0+1=1$, $1+0=1$, $1+1=10$, $1+1+1=11$ Step-by-step (right to left): Position A B Carry In Sum Carry Out ------------------ 1 (LSB) 1 1 0 0 1 2 0 1 1 0 1 3 1 0 1 0 1 4 1 1 1 1 1 5 0 1 1 0 1 6 (MSB) 1 0 1 0 1 Verification (Decimal):...
Up nextSimplify (using K-map): F=(A+B+C+D′)(A+B+C′+D)(A+B′+C′+D′)(A+B′+C′+D)(A′+B′+C′+D)(A′+B+C+D