A Master-Slave J-K flip-flop is a type of sequential logic circuit that can store one bit of information, which can be either a '0' or a '1'. It consists of two D flip-flops connected in series, with the output of the first flip-flop (Master) connected to the input of the second flip-flop (Slave).
The operation of a Master-Slave J-K flip-flop can be explained using its corresponding truth table. The truth table for a J-K flip-flop includes four input combinations (J, K), two output states (Q, Q'), and two clock inputs (CLK).
The inputs J and K are commonly referred to as the "input control lines" or "data inputs", while CLK is the "clock input". The clock input determines when the inputs will be read and the flip-flop will update its state.
Here is the truth table for a Master-Slave J-K flip-flop:
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| CLK | J | K | Q(t) | Q'(t) | Q(t+1) | Q'(t+1) |
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| 0 | 0 | 0 | | | Q | Q' |
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| 0 | 0 | 1 | | | Q | Q' |
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| 0 | 1 | 0 | | | Q | Q' |
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| 0 | 1 | 1 | | | Q | Q' |
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| 1 | 0 | 0 | | | Q | Q' |
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| 1 | 0 | 1 | | | 0 | 1 |
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| 1 | 1 | 0 | | | 1 | 0 |
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| 1 | 1 | 1 | | | Q' | Q |
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In this truth table, Q(t) and Q'(t) represent the current state of the flip-flop (output at time t), while Q(t+1) and Q'(t+1) represent the next state (output at time t+1).
When the clock input (CLK) is low (0), the inputs J and K do not affect the outputs, and the flip-flop remains in its current state. This is indicated by leaving the cells in the Q(t+1) and Q'(t+1) columns blank.
When the clock input (CLK) transitions from low (0) to high (1), the flip-flop reads the inputs J and K and updates its output based on the input combination.
If J=0 and K=0, the flip-flop remains in its current state (Q(t) and Q'(t)), regardless of the previous state. This is denoted by leaving the cells in the Q(t+1) and Q'(t+1) columns blank.
If J=0 and K=1, the flip-flop is reset to a '0' state, forcing Q(t+1) to be '0' and Q'(t+1) to be '1'.
If J=1 and K=0, the flip-flop is set to a '1' state, forcing Q(t+1) to be '1' and Q'(t+1) to be '0'.
If J=1 and K=1, the flip-flop toggles its state, meaning the output at time t+1 (Q(t+1) and Q'(t+1)) is the complement of the output at time t (Q(t) and Q'(t)).
In summary, a Master-Slave J-K flip-flop can be controlled by J and K inputs to either set, reset, or toggle its state based on the clock input. It provides a way to store and manipulate binary information in a sequential manner.
Using the Logic circuit and truth table explain the operation of a master-slave j-k flip-flop
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