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Welcome to our presentation
BCD & Decimal Decoder
Md.Aklasur Rahman Robin 162-15-7708
Md. Rakibul Hasan 162-15-7735
Pritam Chandra Shil 162-15-7882
Md. Ariful Islam 162-15-7885
Our team members
BCD
About BCD
In computing and electronic systems,
binary-coded decimal (BCD) is a class of
binary encodings of decimal numbers
where each decimal digit is represented by
a fixed number of bits, usually four or eight.
Special bit patterns are sometimes used for
a sign or for other indications
 Binary coded decimal (BCD) is a system of writing
numerals that assigns a four-digit binary code to
each digit 0 through 9 in a decimal (base-10)
numeral.The four-bit BCD code for any particular
single base-10 digit us
is its representation in binary notation , as follows :
0=0000, 1=0001,2=0010.
BCD Sum
BCD Adder circuit
BCD in electronics
 BCD is very common in electronic systems where a
numeric value is to be displayed, especially in systems
consisting solely of digital logic, and not containing a
microprocessor.
 By employing BCD, the manipulation of numerical data
for display can be greatly simplified by treating each
digit as a separate single sub-circuit. This matches
much more closely the physical reality of display
hardware—a designer might choose to use a series of
separate identical seven-segment displays to build a
metering circuit
Decimal Decoder
Rules of Decimal Decoder
Digital information represented in some
binary form must be converted into some
alternate binary form.
n to -2 𝑛-line Decoder.
Only one of the 2 𝑛 outputs lines responds,
with a logic-1, to a given input combination
of values on its n-input
2 to 4 binary Decoder
2 to 4 binary decoder diagram
BCD to Decimal Decoder
BCD Decoder have four inputs and 10 out
puts.
The four bit BCD input is decoder to
activate one of the ten outputs.
Its accepts four active high BCD inputes ans
provides 10 independent active low
outputs.
Other type of Decoders
 Function-specific decoders with less than 2 𝑛
outputs exist.
 Example: Decoder with 4 inputs and 10 outputs in
which a single responding output line corresponds
to a combination of the 8421
code.
Example : Four input , seven output decoder that
accepts the 4 bit of the 8421 code and is used to
drive a seven-segment display .
Logic Design Using Decoders
 An n-To-2 𝑛 line decoder is a minterm generator.
 By using or-gates in conjuncation with an n-To-2 𝑛
line decoder ,realizations of Boolean funcation are
possible.
 Do not correspond to minimal sum-of-products.
 Are simple to Product. Particularly convenient
when serveral functions of the same variable have
to be realized.
Weighted coding scheme or BCD code
Decimal Digit BCD
0 0000
1 0001
2 0010
3 0011
4 0100
5 0101
6 0110
7 0111
8 1000
9 1001
.
Forbidden codes:
1010,1011,1100,1101,1110,1111
BCD to Decimal
Decoder
BCD to decimal decoder accept a binary
coded decimal and activate one of ten
possible decimale digit indications.
IC: 74hc42
QUESTION: Assume the inputs of the
74hc42 decoder are the sequence
0101,0110,0011 and 0010.
Answer: All lines are HIGH except for one
active out active output ,which id LOW.
The active outputs are 5,6,3 & 2 in that
oder.
BCD/DEC
Digital electronics- BCD & Decoder

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Digital electronics- BCD & Decoder

  • 1. Welcome to our presentation
  • 2. BCD & Decimal Decoder
  • 3. Md.Aklasur Rahman Robin 162-15-7708 Md. Rakibul Hasan 162-15-7735 Pritam Chandra Shil 162-15-7882 Md. Ariful Islam 162-15-7885 Our team members
  • 4. BCD
  • 5. About BCD In computing and electronic systems, binary-coded decimal (BCD) is a class of binary encodings of decimal numbers where each decimal digit is represented by a fixed number of bits, usually four or eight. Special bit patterns are sometimes used for a sign or for other indications
  • 6.  Binary coded decimal (BCD) is a system of writing numerals that assigns a four-digit binary code to each digit 0 through 9 in a decimal (base-10) numeral.The four-bit BCD code for any particular single base-10 digit us is its representation in binary notation , as follows : 0=0000, 1=0001,2=0010.
  • 9. BCD in electronics  BCD is very common in electronic systems where a numeric value is to be displayed, especially in systems consisting solely of digital logic, and not containing a microprocessor.  By employing BCD, the manipulation of numerical data for display can be greatly simplified by treating each digit as a separate single sub-circuit. This matches much more closely the physical reality of display hardware—a designer might choose to use a series of separate identical seven-segment displays to build a metering circuit
  • 11. Rules of Decimal Decoder Digital information represented in some binary form must be converted into some alternate binary form. n to -2 𝑛-line Decoder. Only one of the 2 𝑛 outputs lines responds, with a logic-1, to a given input combination of values on its n-input
  • 12. 2 to 4 binary Decoder
  • 13. 2 to 4 binary decoder diagram
  • 14. BCD to Decimal Decoder BCD Decoder have four inputs and 10 out puts. The four bit BCD input is decoder to activate one of the ten outputs. Its accepts four active high BCD inputes ans provides 10 independent active low outputs.
  • 15. Other type of Decoders  Function-specific decoders with less than 2 𝑛 outputs exist.  Example: Decoder with 4 inputs and 10 outputs in which a single responding output line corresponds to a combination of the 8421 code. Example : Four input , seven output decoder that accepts the 4 bit of the 8421 code and is used to drive a seven-segment display .
  • 16. Logic Design Using Decoders  An n-To-2 𝑛 line decoder is a minterm generator.  By using or-gates in conjuncation with an n-To-2 𝑛 line decoder ,realizations of Boolean funcation are possible.  Do not correspond to minimal sum-of-products.  Are simple to Product. Particularly convenient when serveral functions of the same variable have to be realized.
  • 17. Weighted coding scheme or BCD code Decimal Digit BCD 0 0000 1 0001 2 0010 3 0011 4 0100 5 0101 6 0110 7 0111 8 1000 9 1001 . Forbidden codes: 1010,1011,1100,1101,1110,1111
  • 18. BCD to Decimal Decoder BCD to decimal decoder accept a binary coded decimal and activate one of ten possible decimale digit indications. IC: 74hc42 QUESTION: Assume the inputs of the 74hc42 decoder are the sequence 0101,0110,0011 and 0010. Answer: All lines are HIGH except for one active out active output ,which id LOW. The active outputs are 5,6,3 & 2 in that oder. BCD/DEC