GATE 2023
October 15, 2023Data-Structures
October 16, 2023Digital-Logic-Design
| Question 392 |
Let M = 11111010 and N = 00001010 be two 8 bit two’s complement number. Their product in two’s complement is
| 11000100 | |
| 10011100 | |
| 10100101 | |
| 11010101 |
Question 392 Explanation:
A = 1111 1010 = -610 [2’s complement number]
B = 0000 1010 = 1010 [2’s complement number]
A×B = -6×10 = – 6010
⇒ -6010 = 101111002
= 110000112 (1’s complement)
= 110001002 (2’s complement)
B = 0000 1010 = 1010 [2’s complement number]
A×B = -6×10 = – 6010
⇒ -6010 = 101111002
= 110000112 (1’s complement)
= 110001002 (2’s complement)
Correct Answer: A
Question 392 Explanation:
A = 1111 1010 = -610 [2’s complement number]
B = 0000 1010 = 1010 [2’s complement number]
A×B = -6×10 = – 6010
⇒ -6010 = 101111002
= 110000112 (1’s complement)
= 110001002 (2’s complement)
B = 0000 1010 = 1010 [2’s complement number]
A×B = -6×10 = – 6010
⇒ -6010 = 101111002
= 110000112 (1’s complement)
= 110001002 (2’s complement)
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