Draw the logic gate diagram for decoding the binary numbers {0011, 0100, 0101, 0111, 1011, 1110} to…
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Draw the logic gate diagram for decoding the binary numbers {0011, 0100, 0101, 0111, 1011, 1110} to hexa-decimal numbers.
Draw: logic gate diagram
Answer
Answer
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Logic gate diagram for decoding binary numbers to hexadecimal:
Inputs: A, B, C, D and their complements A', B', C', D' via NOT gates.
Six 4-input AND gates are connected as follows:
- For 0011 (Hex 3): Output = A' • B' • C • D
- For 0100 (Hex 4): Output = A' • B • C' • D'
- For 0101 (Hex 5): Output = A' • B • C' • D
- For 0111 (Hex 7): Output = A' • B • C • D
- For 1011 (Hex B): Output = A • B' • C • D
- For 1110 (Hex E): Output = A • B • C • D'
