How many flip-flops are required to divide a signal frequency by 16?
The correct answer is A: 4. How many flip-flops are required to divide a signal frequency by 16 is 4. Each flip-flop divides by 2, so 4 flip-flops = 2^4 = 16. For amateur radio operators, this is important for digital circuits. Understanding this helps when designing frequency dividers.
Exam Tip
Flip-flops to divide by 16 = 4. Think 'F'lip-'F'lops = 2^'N' = '1'6, so 'N'='4'. Each flip-flop divides by 2, so 4 flip-flops = 2^4 = 16. Not 6, not 8, not 16 - just 4.
Memory Aid
"Flip-flops to divide by 16 = 4. Think 'F'lip-'F'lops = 2^4 = '1'6. Each flip-flop divides by 2, so 4 flip-flops = 16. Important for digital circuits."
Real-World Application
Dividing a signal frequency by 16: 4 flip-flops are required. Each flip-flop divides by 2, so 4 flip-flops in series give 2^4 = 16 division. This is the number - 4 flip-flops.
Key Concepts
Why Other Options Are Wrong
Option B (6): Incorrect. 6 flip-flops is too many - 4 flip-flops divide by 16 (2^4=16). 6 is wrong.
Option C (8): Incorrect. 8 flip-flops is too many - 4 flip-flops divide by 16 (2^4=16). 8 is wrong.
Option D (16): Incorrect. 16 flip-flops is way too many - 4 flip-flops divide by 16 (2^4=16). 16 is wrong.
题目解析
The correct answer is A: 4. How many flip-flops are required to divide a signal frequency by 16 is 4. Each flip-flop divides by 2, so 4 flip-flops = 2^4 = 16. For amateur radio operators, this is important for digital circuits. Understanding this helps when designing frequency dividers.
考试技巧
Flip-flops to divide by 16 = 4. Think 'F'lip-'F'lops = 2^'N' = '1'6, so 'N'='4'. Each flip-flop divides by 2, so 4 flip-flops = 2^4 = 16. Not 6, not 8, not 16 - just 4.
记忆口诀
Flip-flops to divide by 16 = 4. Think 'F'lip-'F'lops = 2^4 = '1'6. Each flip-flop divides by 2, so 4 flip-flops = 16. Important for digital circuits.
实际应用示例
Dividing a signal frequency by 16: 4 flip-flops are required. Each flip-flop divides by 2, so 4 flip-flops in series give 2^4 = 16 division. This is the number - 4 flip-flops.
错误选项分析
Option B (6): Incorrect. 6 flip-flops is too many - 4 flip-flops divide by 16 (2^4=16). 6 is wrong. Option C (8): Incorrect. 8 flip-flops is too many - 4 flip-flops divide by 16 (2^4=16). 8 is wrong. Option D (16): Incorrect. 16 flip-flops is way too many - 4 flip-flops divide by 16 (2^4=16). 16 is wrong.
知识点
Flip-flops required, Divide signal frequency, By 16, 4
Verified Content
Question from official FCC Extra Class question pool. Explanation reviewed by licensed amateur radio operators.