Electronics and Communication Engineering - Digital Electronics - Discussion

Discussion Forum : Digital Electronics - Section 6 (Q.No. 40)
40.
The number of digit 1 present in the binary representation of 3 x 512 + 7 x 64 + 5 x 8 + 3 is
8
9
10
12
Answer: Option
Explanation:

3 x 512 + 7 x 64 + 5 x 8 + 3

= (2 + 1) x 29 + (4 + 2 + 1)26 + (4 + 1)23 + (2 + 1)

= 210 + 29 + 28 + 27 + 26 + 25 + 23 + 21 + 1

= 210 + 29 + 28 + 27 + 26 + 25 + 23 + 21 + 20

9 term of power two

Hence number of '1' is 9.

Discussion:
1 comments Page 1 of 1.

SATHEESH BABU said:   7 years ago
3=011=2 times 1,
7=111=3 times 1,
5=101=2 times 1,
3=011=2 times 1 so the ans is 9.

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