show the block diagram for a decoder, the truth table for which is shown below.
ID: 1832556 • Letter: S
Question
show the block diagram for a decoder, the truth table for which is shown below. the available components are one-, two-, and three-input NAND gates. (A one-input NAND is an inverter.
Inputs Outputs
E1 E2 a b 1 2 3
0 X X X 1 1 1
X 0 X X 1 1 1
1 1 0 0 1 1 1
1 1 0 1 0 1 1
1 1 1 0 1 0 1
1 1 1 1 1 1 0
Explanation / Answer
the above truthtable illustrates the 2 to 4 decoder . Here the E1,E2 are the enable inputs. both should be high for the circuit to be active irrespective of the inputs a and b.This decoder has inverted outputs.For each combination of the values of the inputs exactly one of the output lines should be zero.When a binary coded decimal digit is used as a input to this decoder one of the output lines wil be low indicating which of the 4 decimal digits is present so the outputs are 1=E1E2NOTA B 2=E1E2A NOTB 3=E1E2AB
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