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E7A04

PRACTICAL CIRCUITS · Digital circuits: digital circuit principles and logic circuits; classes of logic elements; positive and negative logic; frequency dividers; truth tables

E7A04E7A →

How many flip-flops are required to divide a signal frequency by 16?

  1. A4
  2. B6
  3. C8
  4. D16
Why A single flip-flop configured as a toggle changes state once per input cycle transition, so its output is half the input frequency. Chaining them multiplies the division: n flip-flops give a divide ratio of 2^n. Since 2^4 = 16, four stages are needed.
Watch out Picking 16 assumes one flip-flop per count, but the division is binary and exponential, not one-to-one. Eight flip-flops would divide by 2^8 = 256.
Divide ratio = 2^n. Count the powers of 2: 2, 4, 8, 16 is four flip-flops.
HamSandwich explanation, first draft. The question and answers are the NCVEC text.
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The rest of E7A

  1. E7A01 Which circuit is bistable?
  2. E7A02 What is the function of a decade counter?
  3. E7A03 Which of the following can divide the frequency of a pulse train by 2?
  4. E7A04 How many flip-flops are required to divide a signal frequency by 16?
  5. E7A05 Which of the following circuits continuously alternates between two states without an external clock signal?
  6. E7A06 What is a characteristic of a monostable multivibrator?
  7. E7A07 What logical operation does a NAND gate perform?
  8. E7A08 What logical operation does an OR gate perform?
  9. E7A09 What logical operation is performed by a two-input exclusive NOR gate?
  10. E7A10 What is a truth table?
  11. E7A11 What does "positive logic" mean in reference to logic devices?
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