The Excess-3 coding system is a four-bit digital coding system for encoding all decimal digits from 0 to 9. To encode a decimal digit, we add three to it and then convert the result to binary. A valid code has the following range: 1. Minimum = 0011, encoding decimal 0( 0 + 3 = 3 = 0011) 2. Maximum = 1100, encoding decimal 9(9 + 3 =12 = 1100) Design a logic circuit that will detect an error if a four-bit number is not a valid Excess-3 number. (Hint: Use four input variables to represent the four bits of the Excess_3 number. If the combination of the input bits is 0000,0001,0010,1101,1110, or 1111, the output will be HIGH. For all other cases, the output will be LOW.)

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