Maths-
General
Easy
Question
The sum of first 5 natural numbers is
- 1110(2)
- 1111(2)
- 1001(2)
- 1000(2)
Hint:
We are asked the sum of first five natural numbers. We are given the options in binary format. So, we will have to convert the sum to binary.
The correct answer is: 1111(2)
First five natural numbers are 1, 2, 3, 4, and 5
Sum = 1 + 2 + 3 + 4 + 5
= 15
We have to convert the value “15” into binary.
To convert 15 into binary, we will divide it by 2 till we get remainder 1 and quotient 0.
While doing that, we will collect the values of remainder at each step
Then we write the values of remainder from bottom to top.
15 ÷ 2 = 7. Remainder = 1
7 ÷ 2 = 3 Remaider = 1
3 ÷ 2 = 1 Remainder = 1
1 ÷ 2 = 0 Remainder = 1
Now, we will start from bottom and write all the remainders 1111
So, the binary equivalent of 15 is (1111)2
For such questions, we should know conversion of decimal numbers to binary numbers and vice versa.
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