Derive the circuits for a three-bit parity generator and a four-bit parity checker using an odd-parity bit.
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Derive the circuits for a three-bit parity generator and a four-bit parity checker using an odd-parity bit.
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- Write a subroutine called DIV3 that divides the content of A by three. Assume that the initial content of A is a positive integer in two’s-complement form. On return from the subroutine, the quotient should reside in B and the remainder in A.Design a 4-bit arithmetic circuit, with two selection variables S1 and S0, that generates the arithmetic operations in the following table. Draw the logic diagram for a single bit stage. Note that B’ represents “Not B”. Draw the logic diagram for a single bit stagUsing Boolean algebra theorems, simplify the logic expression above as far as possible. Create a Circuit Diagram for the new expression Then create a truthtable for the simplified circuit
- Design a 4 input multiplexer using logic diagram and truth table.Using T-type flipflops, design a counter by counting the binary sequence of 7, 5, 3, 1, 0, 2, and then back to 7 by creating Karnaugh diagrams, and draw the logic circuit. If there is a situation that prevents the counter from working properly in binary situations (such as the two states constantly looping over each other), what solution should be made to overcome this situation? If there is such a case, correct the counter design according to your suggestion and show the design that will enable it to count correctly by correcting the status table. If this is not the case, do not make any changes. NOTE: The state variables are A, B, and C. Flip flop inputs are TA, TB and TC. Q(t+1) =Qn+1= Qn ⨁ TTFull Screen Reader for a T-type FFGive the internal logic for the 2-to-1 multiplexer on 4-bit data paths by giving the four outputs each as a logic expression of the nine inputs.
- Describe what a 16-to-1 one-bit multiplexer does. Write a Boolean expression that implements this multiplexer. Assuming that there is access to four-input AND gates, four-input OR gates, and one-input NOT gates, how many of each gate is required to implement this multiplexer?Detail 2-bit quantization ?With propagation for a 4-bit adder using the ripple adder approach, what would the propagation delays for the final sum and carry-out for a 34-bit adder?
- Assume that a parity bit is transmitted for everynibble of data. Design two logic circuits that check anibble of data and its parity bit to determine if there may have been a data transmission error. Assume firstan even-parity system, then an odd-parity system.Construct the logic for 4-bit binary adder-subtractor using 4-bit parallel adder and XOR gates, draw the logic diagram, construct the circuit on hardware and complete the truth tableA circuit which takes a binary-coded decimal (BCD) number as input s to be designed such that the single output Q is true if the input is a prime number (remerber that 0 and 1 count as prime numbers). (a)Draw a truth table that specifies the above circuit (b)Using the truth table you have constructed and the Karnaugh map method find the minimised Boolean expression for the output Q. (c)Implement the digital circuit using the minimum number of 2-input logic AND, OR gates and inverters (NOT.