1. MAHADY HASAN
B.SC. IN CSE (REG)
STUDENT ID : 130302017
PRESENTATION TOPICS: BCD TO EXCESS 3
CONVERTER
2. BCD TO EXCESS 3 CODE CONVERTER
• SPECIFICATION:
1. BCD TO EXCESS-3 CODE CONVERTER
2. TRANSFORMS BCD CODE FOR THE DECIMAL DIGITS TO EXCESS-3
CODE FOR THE DECIMAL DIGITS
3. EXCESS-3 CODE WORDS FOR DIGITS 0 THROUGH 9: 4-BIT
PATTERNS OBTAINED BY ADDING 3 (BINARY 0011) TO EACH BCD
CODE INPUT
3. BCD TO EXCESS 3 CODE CONVERTER
• FORMULATION:
1. IN THE FORM OF A TRUTH TABLE:
VARIABLES
• BCD: A,B,C,D EXCESS-3: W,X,Y,Z
2. DON’T CARES: BCD 1010 TO 1111
4. BCD TO EXCESS 3 CODE CONVERTER
• OPTIMIZATION
USING 16 BLOCK K-MAP
B
C
D
A
0 1 3 2
4 5 7 6
12 13 15 14
8 9 11 10
1
11
1
X X X
X X
X
1
B
C
D
A
0 1 3 2
4 5 7 6
12 13 15 14
8 9 11 10
1
11
1
X X X
X X
X
1
B
C
D
A
0 1 3 2
4 5 7 6
12 13 15 14
8 9 11 10
1 1
1
1
X X X
X X
X
1
B
C
D
A
0 1 3 2
4 5 7 6
12 13 15 14
8 9 11 10
1 1
1
X X X
X X
X
1
1
w
z y
x
5. BCD TO EXCESS 3 CODE CONVERTER
• START WITH SOPS (2-LEVEL) FROM THE K-MAPS:
• CIRCUIT DIAGRAM:
A
B
C
D
W
X
Y
Z