Implement a BCD decoder. It should take as input a 4-bit bus representing a BCD digit. It should output 10 wires, each representing one of the 10 possible digits. Only one of the outputs should be on at any given time. The following table summarizes the desired behavior: Input Input Binary Out Binary 0000 0000000001 0001 0000000010 0010 0000000100 0011 0000001000 4. 0100 0000010000 5 0101 0000100000 0110 0001000000 7 0111 0010000000 1000 0100000000 1001 1000000000 1. Complete the truth table for this function, considering all possible combinations of inputs. Note that the output for any combinations of inputs not stated above will be a don't care. 2. Write a Boolean expression for each of the outputs, in terms of the input bits. Select the don't care values to help you simplify the expressions, when possible.
Implement a BCD decoder. It should take as input a 4-bit bus representing a BCD digit. It should output 10 wires, each representing one of the 10 possible digits. Only one of the outputs should be on at any given time. The following table summarizes the desired behavior: Input Input Binary Out Binary 0000 0000000001 0001 0000000010 0010 0000000100 0011 0000001000 4. 0100 0000010000 5 0101 0000100000 0110 0001000000 7 0111 0010000000 1000 0100000000 1001 1000000000 1. Complete the truth table for this function, considering all possible combinations of inputs. Note that the output for any combinations of inputs not stated above will be a don't care. 2. Write a Boolean expression for each of the outputs, in terms of the input bits. Select the don't care values to help you simplify the expressions, when possible.
Introductory Circuit Analysis (13th Edition)
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![Implement a BCD decoder. It should take as input a 4-bit bus representing a BCD digit. It should output
10 wires, each representing one of the 10 possible digits. Only one of the outputs should be on at any
given time. The following table summarizes the desired behavior:
Input
Input Binary
Out Binary
01
0000
0000000001
1
0001
0000000010
2
0010
0000000100
0011
0000001000
4.
0100
0000010000
5
0101
0000100000
0110
0001000000
7
0111
0010000000
8.
1000
0100000000
9.
1001
1000000000
1. Complete the truth table for this function, considering all possible combinations of inputs.
Note that the output for any combinations of inputs not stated above will be a don't care.
2. Write a Boolean expression for each of the outputs, in terms of the input bits. Select the
don't care values to help you simplify the expressions, when possible.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb18ac0ef-4d84-42fd-9d44-00456e05defd%2F8d3eab79-4a53-4c7b-83cb-6cc65ea8eaf8%2Fu1sih4t_processed.png&w=3840&q=75)
Transcribed Image Text:Implement a BCD decoder. It should take as input a 4-bit bus representing a BCD digit. It should output
10 wires, each representing one of the 10 possible digits. Only one of the outputs should be on at any
given time. The following table summarizes the desired behavior:
Input
Input Binary
Out Binary
01
0000
0000000001
1
0001
0000000010
2
0010
0000000100
0011
0000001000
4.
0100
0000010000
5
0101
0000100000
0110
0001000000
7
0111
0010000000
8.
1000
0100000000
9.
1001
1000000000
1. Complete the truth table for this function, considering all possible combinations of inputs.
Note that the output for any combinations of inputs not stated above will be a don't care.
2. Write a Boolean expression for each of the outputs, in terms of the input bits. Select the
don't care values to help you simplify the expressions, when possible.
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