Topic: Digital Circuits
The frequency of the output Y is (Circuit showing a 32-bit register M and a clock frequency F synchronized for XOR and register)
- A. $\frac{MF}{2^{32}}$
- B. $\frac{2MF}{2^{32}}$
- C. $\frac{F}{2^{32}}$
- D. $\frac{2^{32}F}{M}$
Answer: A. $\frac{MF}{2^{32}}$
Explanation: The circuit represents a phase accumulator typically used in a Direct Digital Synthesizer (DDS). If M is the 32-bit input tuning word and F is the synchronized clock frequency, the output frequency is given by $\frac{M \cdot F}{2^{32}}$.