NIMCET 2025 Computer PYQ — In 8-bit two's complement arithmetic, compute the result of the f… | Mathem Solvex | Mathem Solvex
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NIMCET 2025 — Computer PYQ
NIMCET | Computer | 2025
In 8-bit two's complement arithmetic, compute the result of the following addition:
A = 10011001, B = 11010111. What is the resulting 8-bit binary value?
Choose the correct answer:
A.
01110000
B.
11100100
C.
01110001
D.
Result is invalid
(Correct Answer)
Correct Answer:
Result is invalid
Explanation
A = 10011001 (In 8 bit two's complement) B = 11010111 A = Decimal value 1×27+0×26+0×25+1×24+1×23+0×22+0×21+1×20 =128+60+00+16+8+0+0+1 =153 B = 1×27+1×26+0×25+1×24+0×23+1×22+1×21+1×20 =215 A + B = 153 + 215 = 368 Binary of 368 = 101110000 There is carry in Addition So, Result is invalid. Ans. Option (d)
Explanation
A = 10011001 (In 8 bit two's complement) B = 11010111 A = Decimal value 1×27+0×26+0×25+1×24+1×23+0×22+0×21+1×20 =128+60+00+16+8+0+0+1 =153 B = 1×27+1×26+0×25+1×24+0×23+1×22+1×21+1×20 =215 A + B = 153 + 215 = 368 Binary of 368 = 101110000 There is carry in Addition So, Result is invalid. Ans. Option (d)