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Design a logic circuit that converts a four digit binary input to equivalent Binary Coded Decimal value. You need to first create the truth table (please note this circuit should have four input bits, but five output bits; for example, for an input 1001 (decimal 9) the suggested output will be 0 1001 (the BCD value 0 9); and for an input 1010 (decimal 10) the suggested output should be 1 0000 (the BCD value 1 0 )). After creating the truth table design the Boolean expressions for each of the five output bits. Draw the resulting circuit diagram using AND - OR - NOT gates.

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How do you represent a negative number in Binary Coded Decimal?

All I know is that when a number is negative, you convert the decimal into binary and if it is negative you put 1111 before the binary digits.


Is an invalid state in an 8421 BCD counter?

Yes, an invalid state can occur in an 8421 BCD (Binary-Coded Decimal) counter. The 8421 BCD representation can only encode decimal digits from 0 to 9, which corresponds to binary values from 0000 to 1001. Any binary representation from 1010 (A) to 1111 (F) is considered invalid in BCD, as it does not represent a valid decimal digit.


What is the difference between binary code and extendible binary code?

There is no such thing as extendible (sic) binary code. However, there are two known variants: eXtendable Binary (XB) is a universal file format used for serialising binary trees. Extended Binary Coded Decimal Interchange Code (EBCDIC) was an 8-bit character encoding used by IBM in the 1960's. It's a non-standard encoding that was used by IBM prior to them switching to ASCII peripherals.


Explain binary coded decimal?

Binary Coded Decimal (BCD) is a set of coding systems for storing decimal digits in binary code. There are several such codes, I will give examples of 3: straight BCD, XS3 BCD, and 2 of 5 BCD. Straight BCD uses the actual binary value of the decimal digit value: 0 = 0000 1 = 0001 2 = 0010 3 = 0011 4 = 0100 5 = 0101 6 = 0110 7 = 0111 8 = 1000 9 = 1001 XS3 BCD adds 3 to the binary value of the decimal digit value to make the code: 0 = 0011 1 = 0100 2 = 0101 3 = 0110 4 = 0111 5 = 1000 6 = 1001 7 = 1010 8 = 1011 9 = 1100 2 of 5 BCD uses a 5 bit code where only 2 bits can be on in a decimal digit's code: 0 = 00011 1 = 11000 2 = 10100 3 = 10010 4 = 10001 5 = 01100 6 = 01010 7 = 01001 8 = 00110 9 = 00101


How do you explain the operation of the BCD Adder?

A BCD (Binary-Coded Decimal) Adder operates by adding two BCD digits (each represented by four bits) and producing a sum that also needs to be in BCD format. When the raw binary sum exceeds 9 (1001 in binary), a correction is applied by adding 6 (0110 in binary) to the result, which adjusts it back into the valid BCD range. The carry from this addition is then used to account for any overflow into the next higher decimal place. This process ensures that the output remains a valid BCD representation after the addition.