Question

Fill in the blank with suitable number in the following sequence :
100, 111, 1010, 1101,.
10011​

Answer 1

Missing number = 10000    in  100, 111, 1010, 1101,.  ........  ,  10011​

Step-by-step explanation:

100, 111, 1010, 1101,. ...  ,  10011​

(100)₂ = 4

(111)₂  = 7

(1010)₂ = 10

(1101)₂   = 13

-------

(10011)₂ = 19

Missing number should be 13 as  there is difference of 3 in each numbers

16 = ( 10000)₂

Missing number = 10000

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Answer 2

The missing number is 10000

Step-by-step explanation:

In the given series, It is binary number. First we change each binary to decimal and then check the series.

$(100)_2=1\times 2^2+0\times 2^1+0\times 2^0=4+0+0=4$

$(111)_2=1\times 2^2+1\times 2^1+1\times 2^0=4+2+1=7$

$(1010)_2=1\times 2^3+0\times 2^2+1\times 2^1+0\times 2^0=8+0+2+0=10$

$(1101)_2=1\times 2^3+1\times 2^2+0\times 2^1+1\times 2^0=8+4+0+1=13$

______

$(10011)_2=1\times 2^4+0\times 2^3+0\times 2^2+1\times 2^1+1\times 2^0=16+0+0+2+1=19$

So, the series in decimal number:

4, 7, 10, 13, ___, 19

Next number is 3 more than previous number.

So, missing number should be 16

Now change decimal to binary.

$(16)_{10}=10000$

Hence, the missing number will be 10000

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