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Introduction to Electrical Engineering - Howework 6

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Introduction to Electrical Engineering - Howework 6

1. Derive the truth table for the circuit shown below. The outputs are F1 and F2 and the inputs areA,B and C.

A B

C

F1

F2

2. A majority function is generated in a combi- national circuit when the output is equal to 1 if the input variables have more 1’s than 0’s.

The output is 0 otherwise. Design a 3-input majority function usingAN D,ORandN OT gates.

3. Design a circuit with 3 inputs and 1 output using onlyN AN D gates. The output should be 1 if the value of the binary input is less than 3. The output is logic 0 otherwise.

4. A half subtractor is a circuit that finds the difference between two 1-bit numbers. Derive the truth table for it and write the logical ex- pressions for the difference and borrow out- put.

5. For five clock cycles, the inputs J and K in an edge triggered J-K flipflop are 10111 and 00101. What is the output?

6. Analyze the following circuit and derive the truth table.

D Q

Clk X

7. How many address lines are required for a 16K×8 RAM?

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