step1- write the table of t ff
step2-write the excitation table of d ff
step3-find out the value of t by k-map
then make the d ff according to the value of t
Replace the T input by sbar rbar q bar + sbar r q
g => (g or h) => (s and t) => t => (t or u) => (c and d) => c.We are given premises:# (g or h) -> (s and t) # (t or u) -> (c and d) We would like to derive g -> c.If we assume g (the antecedent in the conclusion) we have the following derivation: # g (assumption) # g or h(weakening) # s and t (premise 1 (modus ponens)) # t(weakening) # t or u (weakening) # c and d (premise 2 (modus ponens)) # c (weakening)So, assuming g we can derive c, i.e. g -> c
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D o n ' t k n o w
D Flip flop which have driven the output as the given input there is no change in the I/O. But in the case of T-Flipflop the output is inverted to the given input .i.e complement of the input is output. Thank you i am meganathan...
it will be the X-OR gate of D and the output Q
Replace the T input by sbar rbar q bar + sbar r q
Toggles flip flop
The JK in JK flip flop stands for Jack Kilby who was the inventor of JK flip flop.His complete name was Jack St. Clair Kilby.
In counters, the most commonly used flip-flops are the D flip-flop and the T (toggle) flip-flop. The D flip-flop is often used in synchronous counters where data is sampled on a clock edge, while the T flip-flop is particularly suited for binary counters because it toggles its output state with each clock pulse. Both types enable the construction of various counting sequences in digital circuits.
tie inputs together
QN+1=T exor QN
Because 'T' stands for 'Toggle'
The main difference between T flip-flops (T FF) and D flip-flops (D FF) lies in their input and behavior. A T flip-flop toggles its output state (from low to high or high to low) with each clock pulse when its T input is high, effectively acting as a binary counter. In contrast, a D flip-flop captures the value of its D input at the moment of the clock edge and holds that value until the next clock edge, making it useful for data storage and synchronization. Essentially, T FF is used for counting, while D FF is used for data retention.
toggle condition :- the condition of the flip-flop in which on the application of clock-pulse inverts the present state Q(t+1) = Q'(t) on the application of clock-pulse for JK-flip-flop the toggle condition is J=K=1 for JK flip-flop this is called toggle condition condition
Clock is propagated from one T or JK flip flop to another hence it works. A ripple counter works by the following principle. A clock pulse is applied to the first flip flop and the output of the first flip flop acts as the clock input to the second flip flop and the sequence continues in that order.