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Chapter 7: Problem 85

Draw the circuit symbol and give the truth table for JK flip-flop.

Short Answer

Expert verified
A JK flip-flop circuit symbol includes J, K, Clk inputs, and a Q output. The truth table has 'no change', 'reset', 'set', and 'toggle' states.

Step by step solution

01

Understand the JK Flip-Flop

A JK flip-flop is a type of flip-flop, or bistable multivibrator, where 'J' and 'K' are the inputs, 'Q' and 'Q'虆 are the outputs, and there is usually a clock input to control the timing of the state changes. It is a refinement of the SR flip-flop and comes with an advantage of removing indeterminate states found in the SR flip-flop during input transitions.
02

Draw the Circuit Symbol

The standard circuit symbol for a JK flip-flop includes inputs labeled 'J', 'K', a clock input often shown with a small triangle or a line labeled 'Clk', and the outputs labeled 'Q' and 'Q'虆. The symbol will have arrows indicating the direction of data flow, typically showing the clock line triggering changes from one side.
03

Identify Truth Table Components

A truth table for a JK flip-flip will cover the inputs 'J', 'K', and 'Q鈦�' (the current state), leading to an output Q鈦库伜鹿 (the next state). In a JK flip-flop, - when JK = 00, the output state doesn鈥檛 change ('no change'). - when JK = 01, Q sets to 0 ('reset'). - when JK = 10, Q sets to 1 ('set'). - when JK = 11, the output toggles.
04

Construct the Truth Table

Let's complete the truth table using the knowledge from Step 3. Here is the breakdown: | J | K | Q鈦� | Q鈦库伜鹿 | |---|---|----|------| | 0 | 0 | 0 | 0 | | 0 | 0 | 1 | 1 | | 0 | 1 | 0 | 0 | | 0 | 1 | 1 | 0 | | 1 | 0 | 0 | 1 | | 1 | 0 | 1 | 1 | | 1 | 1 | 0 | 1 | | 1 | 1 | 1 | 0 |

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Bistable Multivibrator
A JK flip-flop is a form of a bistable multivibrator. Essentially, this means it has two stable states, known as "0" and "1". This makes it perfect for storing single bits of data or controlling digital circuits. The beauty of a bistable multivibrator is its ability to maintain a state until it is deliberately changed by an input signal. In simpler terms, think of a bistable multivibrator as a light switch. It stays in one position (on or off) until someone flips it. Similarly, with the JK flip-flop, the state of 'Q' remains steady until the inputs 'J' and 'K' instruct it otherwise. These flip-flops are fundamental components in digital electronics, enabling various operations like counting and memory storage within digital systems.
Truth Table
A truth table for a JK flip-flop is a helpful tool to understand how the inputs 'J' and 'K' affect the outputs. It lays out the conditions under which the state of the JK flip-flop changes. In this table:
  • When both 'J' and 'K' inputs are '0, the output stays the same. This is a "no change" condition.
  • If 'J' is '0' and 'K' is '1', the output resets to '0'.
  • When 'J' is '1' and 'K' is '0', the flip-flop sets to '1'.
  • Finally, if both 'J' and 'K' are '1', the output toggles. This means if it was '0', it changes to '1', and vice versa.
By looking at the truth table, designers can understand the state behavior of a JK flip-flop and predict its output based on given inputs. This predictability makes the JK flip-flop a reliable component in more complex digital circuits.
Circuit Symbol
The circuit symbol for a JK flip-flop offers a visual representation of its function and components. When you look at a JK flip-flop diagram, several elements stand out:
  • The 'J' and 'K' inputs, which dictate how the flip-flop's state will change. These are typically placed on one side of the symbol.
  • The clock input, which is crucial for synchronizing the change of states. It's often depicted with a triangle or a line labeled as 'Clk'.
  • The outputs, usually marked as 'Q' and 'Q虆'. 'Q' is the primary output, and 'Q虆' represents the inverse of 'Q'.
This symbolic representation acts as a map for engineers, helping them understand how signals flow in and out of the JK flip-flop. It shows how the clock pulse influences the transition between the states, thereby illustrating the operation principles of the JK flip-flop.

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Most popular questions from this chapter

Sometimes we cannot express a value exactly with a finite number of decimal or binary symbols. For example, we have \(1 / 3=0.33333 \overline{3}\) or \(4 / 33=0.121212 \overline{12}\) in which the overbar indicates that the pattern repeats indefinitely. a. Convert \(0.1_{10}\) to binary form indicating the repeating pattern with an overbar. b. Repeat for \(0.610\). c. Perform the calculation \((0.1 \times\) \(1024-102) \times 10-4\) on your calculator. This should give the exact result, namely zero, because most calculators use BCD and the arithmetic is essentially decimal in nature.d. Repeat the calculation of part (c) with MATLAB. The result is not exactly zero because the calculations are carried out in binary with a finite number of bits, resulting in an approximate representation with roundoff error for \(0.1\). This error is magnified in the calculation.

A city council has three members; \(A, B\), and C. Each member votes on a proposition (1 for yes, 0 for no). Find a minimized SOP logic expression having inputs \(A, B\), and \(C\), and output \(X\) that is high when the majority vote is yes and low otherwise. Show that the minimized logic circuit checks to see if any pair of the three board members have voted yes. Repeat for a council with five members. (Hint: In this case, the circuit checks to see if any group of three has all voted yes.)

A certain digital system produces logic signals at location \(A\) that are transmitted to a second part of the system at location \(B\). The logic circuits in use have \(V_{I H}=3.7 \mathrm{~V}, V_{I L}=\) \(2.2 \mathrm{~V}, V_{O H}=4.7 \mathrm{~V}\), and \(V_{O L}=0.5 \mathrm{~V}\). Noise voltages in the range from \(-0.3 \mathrm{~V}\) to \(+0.6 \mathrm{~V}\) are added to the logic signals as they travel from location \(A\) to location \(B\). Is this system reliable? Why or why not? What is the most extreme range of noise voltages for which the system is reliable?

What is a truth table?

Use only dual input NAND gates to find a way to implement the XOR function for two inputs: \(A\) and \(B\). (Hint: The inputs of a twoinput NAND can be wired together to obtain an inverter. List the truth table and write the SOP expression. Then, apply De Morgan's laws to convert the OR operation to AND.)
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