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8 votes
8 votes

How many different $\text{BCD}$ numbers can be stored in $12$ switches ? (Assume two position or on-off switches).

  1. $2^{12}$
  2. $2^{12}-1$
  3. $10^{12}$
  4. $10^3$
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4 Answers

Best answer
19 votes
19 votes
1 Switch is equivalent to 1 bit  Cz  Switch store either on or off value like a bit can be 0 or 1.

So total 12 bits are there(cz there 12 switches)

Make 3 group of 12 bit . Means each group contain 4 bit.

(_ _ _ _) (_ _ _ _) (_ _ _ _)

      G1.        G2.       G3

Here in any group max 10 numbers can be stored Cz BCD numbers we have to store.

So 10*10*10 different BCD numbers can be stored in this 12 Switches. So Ans is option D) 10^3
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8 votes
8 votes
With 4 bit we can represent 10 BCD no.

12 switches means 12 bit space.

Total 10*10*10 BCD no.
3 votes
3 votes

Answer : 10^3

Have a look at it : https://gateoverflow.in/13388/solve

3 votes
3 votes

BCD numbers = 4 bit.

Switch = 1 bit. (either on or off)

So, in 12 switches, we can store $\frac{12}{4}=3$ BCD numbers.

 

A BCD number ranges from 0 - 9. So 10 total values.

So, $10^3$

 

Option D

Answer:

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