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BCD to Binary converter
BY
G.KIRUTHIKAMANI
Introduction
BCD refers to Binary Coded Decimal.
BCD is a way of representing digital numbers as a string of
bits suitable for electronic systems
It is fast and efficient system to convert decimal to binary
system compared to pure binary system
BCD is a self complimenting code
BCD to Binary code conversion
Here 4 bit BCD to binary number is considered.
In case of BCD number it is similar to binary till decimal
value 9
After 9,each digit of decimal representation takes 4 digits in
BCD
BCD to Binary code conversion
Eg:
Decimal Number BCD Number Binary Number
9 1001 1001
10 00010000 1010
16 00010110 1111
Truth Table for BCD to Binary
number conversion
Decimal
Number
BCD Number
ABCD
Binary Number
WXYZ
0 0000 0000
1 0001 0001
2 0010 0010
3 0011 0011
4 0100 0100
5 0101 0101
6 0110 0110
7 0111 0111
8 1000 1000
9 1001 1001
BCD to Binary number conversion
After decimal number 9, value 10 is given by 0001 0000(BCD)
and denoted by binary number XXXX.
Value 11 is given by 00010001(BCD) denoted by binary
number XXXX and so on.
The ouputs for binary after 9 of BCD is considered as don’t
care.
K-map for W and X
x x x x
1 1 x x
AB
CD
00
01
11
10
00 01 11 10
1 1 1 1
x x x x
x x
AB
CD
00
01
10
00 01 11 10
W=A
11
X=B
K map for Y and Z
1 1
1 1
x x x x
x x
AB
CD
00
01
10
00 01 11 10
1 1
1 1
x x x x
1 x x
AB
CD
00
01
10
00 01 11 10
11
11
Y=C Z=D
Circuit for BCD to Binary Converter
W X Y Z
A
B
C
D

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BCD to binary code converter

  • 1. BCD to Binary converter BY G.KIRUTHIKAMANI
  • 2. Introduction BCD refers to Binary Coded Decimal. BCD is a way of representing digital numbers as a string of bits suitable for electronic systems It is fast and efficient system to convert decimal to binary system compared to pure binary system BCD is a self complimenting code
  • 3. BCD to Binary code conversion Here 4 bit BCD to binary number is considered. In case of BCD number it is similar to binary till decimal value 9 After 9,each digit of decimal representation takes 4 digits in BCD
  • 4. BCD to Binary code conversion Eg: Decimal Number BCD Number Binary Number 9 1001 1001 10 00010000 1010 16 00010110 1111
  • 5. Truth Table for BCD to Binary number conversion Decimal Number BCD Number ABCD Binary Number WXYZ 0 0000 0000 1 0001 0001 2 0010 0010 3 0011 0011 4 0100 0100 5 0101 0101 6 0110 0110 7 0111 0111 8 1000 1000 9 1001 1001
  • 6. BCD to Binary number conversion After decimal number 9, value 10 is given by 0001 0000(BCD) and denoted by binary number XXXX. Value 11 is given by 00010001(BCD) denoted by binary number XXXX and so on. The ouputs for binary after 9 of BCD is considered as don’t care.
  • 7. K-map for W and X x x x x 1 1 x x AB CD 00 01 11 10 00 01 11 10 1 1 1 1 x x x x x x AB CD 00 01 10 00 01 11 10 W=A 11 X=B
  • 8. K map for Y and Z 1 1 1 1 x x x x x x AB CD 00 01 10 00 01 11 10 1 1 1 1 x x x x 1 x x AB CD 00 01 10 00 01 11 10 11 11 Y=C Z=D
  • 9. Circuit for BCD to Binary Converter W X Y Z A B C D