Digital Electronics - Combinational Logic Circuits - Discussion

Discussion Forum : Combinational Logic Circuits - General Questions (Q.No. 12)
12.
How many 1-of-16 decoders are required for decoding a 7-bit binary number?
5
6
7
8
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
11 comments Page 1 of 2.

Durga said:   7 months ago
The input is a 7-bit binary number.
So for 7 inputs, we have 2^7 OUTPUT which means 128 outputs,
Here we have a 1^16 decoder we have 16 outputs here,
So 128/16 = 8.
So, the answer is 8.
(1)

Selva said:   7 years ago
The Number of decoders which are used only 9.
We need 1 to 16 decoders of 8 and the 3 to 8 decoders of 1. So total 9.
They have asked 1 to 16 decoders so 8.

The input lines is 7 and the output line is 128.
we are having 1 to 16 decoder so 128/16 =8.
And another one for enabling all the 8 decoders. So, we want 3 to 8 decoder.

Mahi said:   7 years ago
It means1 Input 16 Outputs.

Naresh said:   8 years ago
What does it mean by 1 of 16 decoders? Please explain in detail.

Sanchali Dutta said:   8 years ago
What does 1 of 16 decoder means?

Lakshmi said:   8 years ago
Please explain me.

Sam said:   8 years ago
What does it mean by 1 of 16 decoders?

Please explain me.

Ravi Raj said:   1 decade ago
How are we going to connect the i/p lines.
Let us say the binary no. is A6...A0.
A3...A0 are common to all decoders but what about the remaining A6...A4. How are going to use them.

I guess there should be one more option of 9 decoders to use last 3 bits as enable lines for the 8 decoders.
But in this case how are going to connect them ?
(1)

Ran said:   1 decade ago
@Ram,

7 bit means 2^7 combinations i.e 128. So to decode 128 combinations we require 128/16=8 1 of 16 decoders.
(2)

Ram said:   1 decade ago
@Samir.

Can you please explain the theory behind the calculation ?


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