C=R'PH + SRP' + SH+ RP'H+SR'P  Design the above statement with a 3x8 decoder. R,P,H input

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C=R'PH + SRP' + SH+ RP'H+SR'P 

Design the above statement with a 3x8 decoder.

R,P,H input

Expert Solution
Step 1

We need to design 3×8 decoder

In 3×8 decoder we will be having

3 inputs R,P,H

8 outputs are  y0, y1, y2, y3, y4, y5, y6, y7

R P H    y7     y6     y5     y4     y3     y2     y1     y0      
0 0 0     0       0      0       0       0       0       0        1
0 0 1     0       0      0       0       0       0       1        0
0 1 0     0       0      0      0        0       1       0        0
0 1 1      0       0     0      0             0       0        0
1 0 0     0       0       0     1        0       0       0        0
1 0 1     0       0       1     0        0       0       0        0
1 1 0     0       1       0     0       0        0       0        0 
1 1 1     1       0       0     0       0        0       0        0
× × ×     0       0       0     0       0         0       0        0

Depending up on the inputs we need to enable the corresponding output.

 

 

Step 2

LOGICAL DIAGRAM

Y7= RPHY6=RPH__Y5=RP__HY4=RP__H__Y3=RPH__Y2=R P__ H__Y1=RP  H____Y0=RPH______

 

 

 

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