1, 100, 1001, 10000, 11001, 100100, —
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1
Given : 1, 100, 1001, 10000, 11001, 100100 ?
To Find : Next Number
Solution:
1₂ = 1 = 1²
100₂ = 4 = 2²
1001₂ = 9 = 3²
10000 = 16 = 4²
11001 = 25 = 5²
100100 = 36 = 6²
Next term = 7² = 49
49 = (110001)₂
110001 will be the next number
Tₙ = n² in decimal system converted into binary
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Answered by
0
It is binary operation system place values are
→ 32 16 8 4 2 1←
1 = 1
100 = 4 + 0 + 0 = 4
1001 = 8 + 0 + 0 + 1 = 9
10000 = 16 + 0 + 0 + 0 + 0 = 16
11001 = 16 + 8 + 0 + 0 + 1 = 25
100100 = 32 + 0 + 0 + 4 + 0 + 0 = 36
So these are the square numbers next number is 49
In binary system 49 = 32 + 16 + 0 + 4 + 0 + 1 = 49
So answer is 110101
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