Design a BCD to excess 3 code converter using NAND gates, Computer Engineering

Assignment Help:

Design a BCD to excess 3 code converter using minimum number of NAND gates.

Hint: use k map techniques.

Ans. Firstly we make the truth table:

BCD no

A B C D

EXCESS-3 NO

W X Y Z

0 0 0 0

0 0 1 1

0 0 0 1

0 1 0 0

0 0 1 0

0 1 0 1

0 0 1 1

0 1 1 0

0 1 0 0

0 1 1 1

0 1 0 1

1 0 0 0

0 1 1 0

1 0 0 1

0 1 1 1

1 0 1 0

1 0 0 0

1 0 1 1

1 0 0 1

1 1 0 0

After that by using K maps we can get simplified functions for w, x, y, z shown below as:

363_Design a BCD to excess 3 code converter using NAND gates.png

                                                 NAND gate implementation for simplified function

W = BD + AD + AB' + BC
Through complementing twice we find
W = ((BD + AD + AB' + BC)')'

= ((BD)' . (AD)' . (AB')' . (BC)')' X = BC'D + B'D + B'C

Through complementing twice we find
X = BC'D + B'D + B'C

= ((BC'D)' . (B'D)' . (B'C)')'

Y = C'D' + CD

= ((C'D')' + (CD)')'

Z = D'

2241_Design a BCD to excess 3 code converter using NAND gates12.png

Logic diagram for BCD to excess 3 code converter using minimum number of NAND gates


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