da 3x8 decoder as shown below:

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Author:James Kurose, Keith Ross
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We want to implement a circuit that determines if a number falls within a desired range. Our input is an 8-bit binary number,
B7B6 B5 B4B3B,B1 Bo, and our output is Z.
The only components available to us are an 8-to-3 priority encoder and a 3x8 decoder as shown below:
0,
Os
03
O2
0.
We want Z to be '1' only when our input falls within the range 410 to 710, or in binary, 00000100, to 000001112.
1. If we connect our 8-bit input to the priority encoder (MSB is connected to pin Iz in the image above), what will be the
expected output whenever our input falls within the desired number range? O20,0, =
2. Next, we connect the outputs from the priority encoder into the inputs of the decoder. To which output pin of the the
decoder should we connect Z for our circuit to behave as desired?
3. In our circuit so far, assuming we don't use any more logic gates, will there be cases when our input falls outside the
desired range but Z will be '1'?
If yes, select one such input that falls outside the desired range but will
result in Z = 1. You may select 'n/a' if you answered "No" in #3.
Transcribed Image Text:We want to implement a circuit that determines if a number falls within a desired range. Our input is an 8-bit binary number, B7B6 B5 B4B3B,B1 Bo, and our output is Z. The only components available to us are an 8-to-3 priority encoder and a 3x8 decoder as shown below: 0, Os 03 O2 0. We want Z to be '1' only when our input falls within the range 410 to 710, or in binary, 00000100, to 000001112. 1. If we connect our 8-bit input to the priority encoder (MSB is connected to pin Iz in the image above), what will be the expected output whenever our input falls within the desired number range? O20,0, = 2. Next, we connect the outputs from the priority encoder into the inputs of the decoder. To which output pin of the the decoder should we connect Z for our circuit to behave as desired? 3. In our circuit so far, assuming we don't use any more logic gates, will there be cases when our input falls outside the desired range but Z will be '1'? If yes, select one such input that falls outside the desired range but will result in Z = 1. You may select 'n/a' if you answered "No" in #3.
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