NIMCET 2026 — Computer PYQ
NIMCET | Computer | 2026The binary multiplication of 11002 and 10112:
Choose the correct answer:
- A.
100001002
- B.
100001102
- C.
100010002
(Correct Answer) - D.
111111002
100010002
Explanation
Step-by-step breakdown:
Multiply 1100 by the last bit (1): 1100
Multiply 1100 by the second bit (1) and shift left: 11000
Multiply 1100 by the third bit (0) and shift left: 000000
Multiply 1100 by the fourth bit (1) and shift left: 1100000
Add the partial products:
1100+11000+1100000=100001002
Verification:
11002=1210
10112=1110
12×11=13210
100001002=128+4=13210
Therefore, the correct option is (a) 10000100.
Explanation
Step-by-step breakdown:
Multiply 1100 by the last bit (1): 1100
Multiply 1100 by the second bit (1) and shift left: 11000
Multiply 1100 by the third bit (0) and shift left: 000000
Multiply 1100 by the fourth bit (1) and shift left: 1100000
Add the partial products:
1100+11000+1100000=100001002
Verification:
11002=1210
10112=1110
12×11=13210
100001002=128+4=13210
Therefore, the correct option is (a) 10000100.

