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Codiode/Problems/Sequential Logic

Verify D-to-T Conversion: Trace Q Through XOR Gate

MediumLogic CircuitTiming Diagram

A T flip-flop can be configured to act as a D flip-flop by driving its toggle input with the XOR of the desired data input and its current state. Four signals are shown: CLK (clock, period 2), D (external input), T (internal combinational node), and Q (flip-flop output). The positive-edge-triggered T flip-flop updates Q on every LOW-to-HIGH transition of CLK based on the value of T immediately before the edge. The internal node T continuously evaluates to D XOR Q. Trace both T and Q across all 12 time steps, starting with Q initially at 0.

Constraints

  • Q only updates its state on the rising edge of CLK.
  • T is a combinational node and updates immediately whenever D or Q changes.

Topics

D Flip-FlopT Flip-FlopLatches and Flip-FlopsState ConversionXOR Gate

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