Even Only

How many numbers in the following list of 15 numbers are even:

1 , 10 , 11 , 100 , 101 , 110 , 111 , 1000 , 1001 , 1010 , 1011 , 1100 , 1101 , 1110 , 1111 ? \begin{array} { l l } 1, 10, 11, 100, 101, 110, 111, 1000,\\ 1001, 1010, 1011, 1100, 1101, 1110, 1111? \end{array}


The answer is 7.

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6 solutions

Gabriel Rovayo
Nov 25, 2013

The Numbers ending in 0 or even number are what I consider

read question carefully...

muhammad ibrahim - 7 years, 6 months ago
Nai Vana Alfa
Nov 27, 2013

10,100,110,1000,1010,1100,1110 so even number=7

why?

Aswad Hariri Mangalaeng - 7 years, 6 months ago

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Maybe because they are all binary. 1 = 1 , 10 = 2 , 11 = 3 , 100 = 4 , 101 = 5 , 110 = 6 , 111 = 7 , 1000 = 8 , 1001 = 9 , 1010 = 10 , 1011 = 11 , 1100 = 12 , 1101 = 13 , 1110 = 14 , 1111 = 15. 1=1, 10=2, 11=3, 100=4, 101=5, 110=6, 111=7, 1000=8, 1001=9, 1010=10, 1011=11, 1100=12, 1101=13, 1110=14, 1111=15. And the numbers of the list's number are 15, and the numbers of odd numbers in the list are 8, so 15 8 = 7. 15-8=7. is the answer.

. . - 4 months ago

all the number in the list divisible by 2 are even

Priyanka Saha
Apr 5, 2014

whose last digit is 1, those are odd.. so there are 7 digits whose last digit is 0..

Zarif Hosain
Nov 29, 2013

even numbers are the ones which end with the multiples of 2 but not with one and zero is a multiple of 2 there fore all numbers up there ending with 0 are even and there are total 7 numbers which end with zero answer= 7

charactristic even number is the last digit is even too. there are 7 numbers that satisfy

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