Design a 2 to 4 Decoder using 4 to 16 Decoder

In summary, the conversation is about designing a 2 to 4 decoder using a 4 to 16 decoder. The person asking for help has provided a truth table, but the helper points out that it is incorrect and asks for the datasheet of the device. The helper also asks about the placement of the outputs and provides a correct truth table. They also mention that there are several manufactured decoders with different input labeling, but they suggest that A is the least significant bit in this case. The conversation ends with a question about how the truth table would look like in this situation.
  • #1
Fatima Hasan
319
14

Homework Statement


How to design a 2 to 4 Decoder using 4 to 16 Decoder ?

Homework Equations


-

The Attempt at a Solution


Capture.png

Truth Table :
A B
0 0
0 1
1 0
1 1 ( O3)
Is my answer correct ?
 

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  • #2
Do you have the datasheet for this device? Is A the high bit, or low bit? The way you show your truth table, it looks like A is the High bit.
Where do you want to read the 4 outputs? From Q(0) through Q(3)?

My initial observation is: your truth table is incorrect, because it only show inputs (A and B). You do not show what outputs are associated with these states.
 
  • #3
A B - OP
0 0 - O0
0 1 - O1
1 0 - O2
1 1 - O3
 
  • #4
scottdave said:
Do you have the datasheet for this device?
No.
scottdave said:
From Q(0) through Q(3)?
Yes.
 
  • #5
There are several manufactured 4 to 16 decoders, like this one for example http://www.ti.com/lit/ds/symlink/cd74hc4515.pdf
Note the inputs on that one (and several that I searched) are labeled A0 (least significant) to A3 (most significant bit). This leads me to "guess" that A in yours is least significant, then B, then ( C & D , which are grounded so they are fixed to zero). How would a truth table look like in that situation?
 

1. What is a 2 to 4 decoder and how does it work?

A 2 to 4 decoder is a digital circuit that takes in two inputs (A and B) and outputs four possible combinations based on the input values. It works by using the input values to select one of the four output lines, with only one output line being active at a time.

2. How is a 2 to 4 decoder designed using a 4 to 16 decoder?

A 4 to 16 decoder contains 4 input lines and 16 output lines. By connecting the input lines of the 4 to 16 decoder to the inputs A and B of the 2 to 4 decoder, and connecting the first 4 output lines of the 4 to 16 decoder to the output lines of the 2 to 4 decoder, we can effectively create a 2 to 4 decoder.

3. What are the advantages of using a 2 to 4 decoder over other decoder designs?

A 2 to 4 decoder is a simple and efficient design that uses fewer components compared to other decoder designs. This results in lower cost and faster processing speed, making it a popular choice in digital systems.

4. Can a 2 to 4 decoder be used in combination with other logic gates?

Yes, a 2 to 4 decoder can be used in combination with other logic gates to perform more complex operations. For example, it can be used to select a specific output line based on the input values and then pass it through an AND gate to perform logical operations.

5. Are there any limitations to using a 2 to 4 decoder?

One limitation of a 2 to 4 decoder is that it can only handle two input variables, which means it cannot be used for more complex decoding tasks. Additionally, it can only output four possible combinations, so it may not be suitable for applications that require more than four outputs.

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