Question 8804 – GATE 2012
January 22, 2024Number-Systems
January 23, 2024Number-Systems
| Question 7 |
The number of 1’s in the binary representation of
(3*4096 + 15*256 + 5*16 + 3) are:
| 8 | |
| 8 | |
| 10 | |
| 12 |
Question 7 Explanation:
3 × 4096 = 3 × 212
= (11000000000000)2
15 × 256 = 15 × 28
= (111100000000)2
5 × 16 = 5 × 24
= (1010000)2
3 = (11)2
Hence, all binary numbers,
∴ 101’s
= (11000000000000)2
15 × 256 = 15 × 28
= (111100000000)2
5 × 16 = 5 × 24
= (1010000)2
3 = (11)2
Hence, all binary numbers,
∴ 101’s
Correct Answer: C
Question 7 Explanation:
3 × 4096 = 3 × 212
= (11000000000000)2
15 × 256 = 15 × 28
= (111100000000)2
5 × 16 = 5 × 24
= (1010000)2
3 = (11)2
Hence, all binary numbers,
∴ 101’s
= (11000000000000)2
15 × 256 = 15 × 28
= (111100000000)2
5 × 16 = 5 × 24
= (1010000)2
3 = (11)2
Hence, all binary numbers,
∴ 101’s
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