Explain the operation of octal to binary encoder, Computer Engineering

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Explain the operation of octal to binary encoder.

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Octal to binary encoder consists of eight inputs, one for each of eight digits and three outputs which generate the consequent binary number. For example: low order output bit Z is if the input octal digit is odd.

There is DO input is not linked to any O R gate; the binary output must be all zeroes in such case and all 0's output is also acquired, while all inputs are zeroes. This discrepancy can be resolved through giving one more output to specify the fact as all inputs are not zeroes.

Truth table

Inputs								Outputs
D0	D1	D2	D3	D4	D5	D6	D7	x	y	z
1	0	0	0	0	0	0	0	0	0	0
0	1	0	0	0	0	0	0	0	0	1
0	0	1	0	0	0	0	0	0	1	0
0	0	0	1	0	0	0	0	0	1	1
0	0	0	0	1	0	0	0	1	0	0
0	0	0	0	0	1	0	0	1	0	1
0	0	0	0	0	0	1	0	1	1	0
0	0	0	0	0	0	0	1	1	1	1

1228_Logic diagram of octal to binary encoder.png

Logic diagram of octal to binary encoder

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