The detector circuit outputs logic 1 when any invalid BCD is applied to the input of the circuit B. Assume that the 4-bit input binary number is a, b, c, d and the output is y. Construct the truth table for an Invalid-BCD-Code detector circuit. To determine the BCD value for the Decimal number 5319, see the conversion below: (5319). Also, in BCD, the binary patterns 1010 through 1111 cannot be used since they do not represent valid BCD numbers. Each digit of the Decimal number through 9 is converted to 0000 through 1001, but you cannot perform the repeated division by 2 as you did to convert Decimal to Binary number system. Conversion from Decimal to BCD number system is straight forward. This system is called Binary Coded Decimal or BCD which also occupies a nibble. In computing systems often, we use a binary equivalent of the Decimal number system. If you view single digit values for a Hexadecimal number system, you will observe that the used digits 0-F, represent the decimal values 0 - 15, and occupy a nibble (a group of 4-bits). Invalid-BCD-Code Detector BACKGROUND: Binary Coded Decimal (BCD) numbers: The theory behind Binary, Decimal, Octal, Hexadecimal and Binary Coded Decimal (BCD) number systems are now known to you. Draw the half-adder circuit using two gates only.
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