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Using only the gates listed in the gate table, implement a transistor-minimal hamming distance circuit. The circuit takes four bits of input: • x₁ and xo: a two-bit string x = x1x0 •y₁ and yo: a two bit string y = yıyo The circuit produces two bits of output: ● d₁ and do: a two-bit number d = d₁do that indicates how many bits differ between x and y - E.g. the hamming distance between x = 00 and y = 01 is d = 01

Using only the gates listed in the gate table, implement a transistor-minimal hamming distance circuit. The circuit takes four bits of input: • x₁ and xo: a two-bit string x = x1x0 •y₁ and yo: a two bit string y = yıyo The circuit produces two bits of output: ● d₁ and do: a two-bit number d = d₁do that indicates how many bits differ between x and y - E.g. the hamming distance between x = 00 and y = 01 is d = 01

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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When a problem references the “gate table”, use the following table of gate information: | Gate | Number of Transistors | \( t_{cd} \) | \( t_{pd} \) | |--------|-----------------------|--------------|--------------| | NOT | 2 | 0.4 | 0.5 | | AND2 | 6 | 2.2 | 2.6 | | OR2 | 6 | 2.2 | 2.6 | | NAND2 | 4 | 1.8 | 2.1 | | NOR2 | 4 | 1.8 | 2.1 | | XOR2 | 8 | 2.6 | 3.2 | | XNOR2 | 8 | 2.6 | 3.2 | **Explanation:** - **Gate:** The type of logic gate. - **Number of Transistors:** The number of transistors used in the construction of each type of gate. - **\( t_{cd} \):** The contamination delay, measured in arbitrary time units. - **\( t_{pd} \):** The propagation delay, also in arbitrary time units. This table provides essential information for understanding the complexity and speed of different logic gates based on their transistor count and delays.
Transcribed Image Text:When a problem references the “gate table”, use the following table of gate information: | Gate | Number of Transistors | \( t_{cd} \) | \( t_{pd} \) | |--------|-----------------------|--------------|--------------| | NOT | 2 | 0.4 | 0.5 | | AND2 | 6 | 2.2 | 2.6 | | OR2 | 6 | 2.2 | 2.6 | | NAND2 | 4 | 1.8 | 2.1 | | NOR2 | 4 | 1.8 | 2.1 | | XOR2 | 8 | 2.6 | 3.2 | | XNOR2 | 8 | 2.6 | 3.2 | **Explanation:** - **Gate:** The type of logic gate. - **Number of Transistors:** The number of transistors used in the construction of each type of gate. - **\( t_{cd} \):** The contamination delay, measured in arbitrary time units. - **\( t_{pd} \):** The propagation delay, also in arbitrary time units. This table provides essential information for understanding the complexity and speed of different logic gates based on their transistor count and delays.
### Hamming Distance Circuit Implementation **3. Using only the gates listed in the gate table, implement a transistor-minimal Hamming distance circuit.** The circuit takes four bits of input: - **x₁ and x₀**: a two-bit string x = x₁x₀ - **y₁ and y₀**: a two-bit string y = y₁y₀ The circuit produces two bits of output: - **d₁ and d₀**: a two-bit number d = d₁d₀ that indicates how many bits differ between x and y - _Example: the Hamming distance between x = 00 and y = 01 is d = 01_
Transcribed Image Text:### Hamming Distance Circuit Implementation **3. Using only the gates listed in the gate table, implement a transistor-minimal Hamming distance circuit.** The circuit takes four bits of input: - **x₁ and x₀**: a two-bit string x = x₁x₀ - **y₁ and y₀**: a two-bit string y = y₁y₀ The circuit produces two bits of output: - **d₁ and d₀**: a two-bit number d = d₁d₀ that indicates how many bits differ between x and y - _Example: the Hamming distance between x = 00 and y = 01 is d = 01_
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