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.)
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.)
To design a logic circuit that detects an error if a four-bit number is not a valid Excess-3 code, you can create a logic circuit that checks whether the input code matches one of the valid Excess-3 codes (0000, 0001, 0010, 1101, 1110, or 1111). If the input does not match any of these codes, the circuit should output HIGH to indicate an error. Here's how you can design the logic circuit:
Inputs: Let's represent the four input bits as A, B, C, and D, where A is the most significant bit, and D is the least significant bit.
Step by step
Solved in 4 steps with 1 images
