How many 1's are there in the binary form of 8*1024 + 3*64 + 3
Answers
your answer is 5
Answer:
5
Step-by-step explanation:
How many 1's are there in the binary form of 8*1024 + 3*64 + 3
3 = 2^0 + 2^1 = 1 + 10 = 11
64 = 2^6 = 1000000
3 * 64 = 1000000 + 1000000 + 1000000
1000000 + 10000000 = 11000000
1024 = 2^10 = 10000000000
8 * 1024 = 10000000000 + 10000000000 + 10000000000 + 10000000000 +10000000000 + 10000000000 + 10000000000 + 10000000000
= 10000000000 + 10000000000 + 10000000000 + 10000000000 +10000000000 + 10000000000 + 100000000000
= 10000000000 + 10000000000 + 10000000000 + 10000000000 +10000000000 + 110000000000
= 10000000000 + 10000000000 + 10000000000 + 10000000000 + 1000000000000
= 10000000000 + 10000000000 + 10000000000 + 1010000000000
= 10000000000 + 10000000000 + 1100000000000
= 10000000000 + 1110000000000
= 10000000000000
Adding all
11 + 11000000 + 10000000000000
= 10000011000011
There are total 5 1's