What is the minimum number of bits required to sample a signal with a range of 1 volt at a resolution of 1 millivolt?
The correct answer is D: 10 bits. What is the minimum number of bits required to sample a signal with a range of 1 volt at a resolution of 1 millivolt is 10 bits. 1V / 1mV = 1000 levels, so 2^10 = 1024 levels (10 bits). For amateur radio operators, this is important for digital signal processing. Understanding this helps when working with ADCs.
Exam Tip
Bits for 1V range at 1mV resolution = 10 bits. Think '1'V / '1'mV = '1'000 levels, so 2^10 = 1024 (10 bits). 1V / 1mV = 1000 levels, so 2^10 = 1024 levels (10 bits). Not 4 bits (16 levels), not 6 bits (64 levels), not 8 bits (256 levels) - just 10 bits.
Memory Aid
"Bits for 1V range at 1mV resolution = 10 bits. Think '1'V / '1'mV = '1'0 bits. 1V / 1mV = 1000 levels, so 2^10 = 1024 levels (10 bits). Important for digital signal processing."
Real-World Application
Sampling a signal with range of 1 volt at resolution of 1 millivolt: The minimum number of bits required is 10 bits. 1V / 1mV = 1000 levels, and 2^10 = 1024 levels, which is sufficient. This is the number - 10 bits.
Key Concepts
Why Other Options Are Wrong
Option A (4 bits): Incorrect. 4 bits gives 16 levels, not enough - need 10 bits for 1000 levels. 4 bits is wrong.
Option B (6 bits): Incorrect. 6 bits gives 64 levels, not enough - need 10 bits for 1000 levels. 6 bits is wrong.
Option C (8 bits): Incorrect. 8 bits gives 256 levels, not enough - need 10 bits for 1000 levels. 8 bits is wrong.
题目解析
The correct answer is D: 10 bits. What is the minimum number of bits required to sample a signal with a range of 1 volt at a resolution of 1 millivolt is 10 bits. 1V / 1mV = 1000 levels, so 2^10 = 1024 levels (10 bits). For amateur radio operators, this is important for digital signal processing. Understanding this helps when working with ADCs.
考试技巧
Bits for 1V range at 1mV resolution = 10 bits. Think '1'V / '1'mV = '1'000 levels, so 2^10 = 1024 (10 bits). 1V / 1mV = 1000 levels, so 2^10 = 1024 levels (10 bits). Not 4 bits (16 levels), not 6 bits (64 levels), not 8 bits (256 levels) - just 10 bits.
记忆口诀
Bits for 1V range at 1mV resolution = 10 bits. Think '1'V / '1'mV = '1'0 bits. 1V / 1mV = 1000 levels, so 2^10 = 1024 levels (10 bits). Important for digital signal processing.
实际应用示例
Sampling a signal with range of 1 volt at resolution of 1 millivolt: The minimum number of bits required is 10 bits. 1V / 1mV = 1000 levels, and 2^10 = 1024 levels, which is sufficient. This is the number - 10 bits.
错误选项分析
Option A (4 bits): Incorrect. 4 bits gives 16 levels, not enough - need 10 bits for 1000 levels. 4 bits is wrong. Option B (6 bits): Incorrect. 6 bits gives 64 levels, not enough - need 10 bits for 1000 levels. 6 bits is wrong. Option C (8 bits): Incorrect. 8 bits gives 256 levels, not enough - need 10 bits for 1000 levels. 8 bits is wrong.
知识点
Minimum number of bits, Sample signal, Range 1 volt, Resolution 1 millivolt, 10 bits
Verified Content
Question from official FCC Extra Class question pool. Explanation reviewed by licensed amateur radio operators.