Homework SourseAn AB flipflop behaves as follows If AB 00 the flipflop cha
An A-B flip-flop behaves as follows: If AB = 00, the flip-flop changes its current state, If AB = 01, the flip-flop holds, If AB = 10, the flip-flop is reset, i.e..Q=0 If AB = 11, the flip-flop changes its current state Give the characteristic (next-state) equation for this flip-flop. Create the state table
Solution
According to the given question , some of the points I want to mention are-
1: AB =00, the flip flop changes its current state
2: AB=01 ,the flip flop holds
3:AB=10, the flip flop is reset ,ie Q=0
4: AB =11 the flip flop changes its current state (WHICH WILL BE 1 (from point 3 we can conclude it) )
From the 3rd statement we can get initial present state which will be 0 \'zero\'
According to the given data and the present state ,the state table will be -
Input
(A B)
To find out the characteristic equation we have to use K - map and from the given state table K-map will be:
the equation for Y will be:
Y=A\' +B
| present state(X) | Input (A B) | Next state(Y) |
| 0 | 0 0 | 1 |
| 1 | 0 1 | 1 |
| 1 | 1 0 | 0 |
| 0 | 1 1 | 1 |
