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Design BCD to Excess -3 code converter

written 4.5 years ago by teamques10 ★ 70k

•   modified 4.5 years ago

digital electronics

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written 4.5 years ago by teamques10 ★ 70k

modified 3.5 years ago by sagarkolekar ★ 11k

BCD number system range is from (0000) to (1001).

Excess-3: We need to add (0011) to the binary number.

For e.g.

Binary Number System	Excess-3 code
0000 + 0011	0011
0100 + 0011	0111

BCD to Excess-3:

BCD	Excess-3
A	B	C	D	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

k-mapping:

$W=\bar ABC+A\bar BC$

$X=\bar AB\bar C\bar D+\bar B\bar C+\bar A \bar BC$

$Y=\bar A\bar C\bar D+\bar ACD+\bar B\bar C\bar D$

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