Implement using a multiplexer: F (A,B,C,D) = ∑(0,2,3,4,7,8,10,13,15) Include truth table and multiplexer implementation
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- Design a combinational circuit with the four inputs A,B.C, and D, and three outputs X, Y, and Z. When the binary input is odd number, the binary output is one lesser than the input. When the binary input is even number the binary output is one greate than the input. Implement the function using multiplexers with minimal input and select line.3) Show how two 4:1 and one 2:1 mux could be connected to form an 8:1 mux. 4) Given the multiplexer below, what is Boolean function J(A,B,C)? Write your answer in Em notation. C 4X1 >J MUX "1L A BQ 2. Implement the following Boolean function: F(A,B,C,D) = E(1,2, 5, 7,8,9,11,12,14,15) using: i. 4x1 Multiplexer ii. 2x1 Multiplexer
- Implement the following Boolean function by using 4x1 multiplexer. F(A, B,C, D) = Em(1,3,5,6,8,11,14)Design the interfacing circuit shown below and write a program to display single digit (between 0 and 9) prime numbers followed by even numbers, the next odd numbers and repeats in 7-segment displays and its equivalent 8-bit binary value in LEDS. a) When displaying Prime numbers, the first 7-segment display must show "P" and the second 7-segment display must show prime numbers one by one b) When displaying Even numbers, the first 7-segment display must show "E" and the second 7-segment display must show even numbers one by one c) When displaying Odd numbers, the first 7-segment display must show "O" and the second 7-segment display must show even numbers one by oneLet A = ajao and B = b¡bo be two-bit binary numbers. A and B can take on values from 0 to 3 (for example, A = 2 when a1ao = 10. Let C be a two bit binary number whose value equals the magnitude of the difference A – B. We have C = c1c0 = |A – B|. (This means that if B is larger than A then you consider B-A.) You are to design a circuit which accepts A and B (i.e., a¡ aob¡bo) as inputs and outputs the result C = c¡c0. The circuit thus has four inputs and two outputs. For example, the circuit should output c1co = 10 when ajao = 01 and bibo = 11 (C = 2 when A = 1 and B = 3). - Your pre-lab needs to include all items requested in the following steps (plus those requested in the pre-lab handout): 1. After reading through the complete lab, write a description of the expected behavior of the system you will design. 2. Draw a truth table describing the behavior of the circuit. The truth table should show the inputs: aj aobibo (in this order) and the outputs: c1Co · 3. Write the canonical SOP…
- A digital circuit for adding two binary digits has two inputs: the two digits to be added; and two outputs: the units bit and the twos bit of the answer. (a circuit of this kind is called half adder.) By treating this as two circuits, each with a single output, use Karnaugh maps to obtain a Boolean expression for each circuit, and draw the corresponding circuit diagrams.Implement the following Boolean function f(A,B,C,D)={ 0,3,4,6,8,11,12,15) ....,im.. 3) using two of 8-to-1 multiplexer P andQ. For the combinational circuit given in the figure: (i) Determine the output expression Y. (ii) Simplified the output to a minimum form by using Boolean Algebra technique. Draw the circuit of the simplified form, and find the truth table. A B
- The binary string 11010111100101 is a floating-point number expressed using the 14-bit simple model given in your text. What is its decimal equivalent? Note: in the 14-bit simple model, the left-most bit is the sign, followed by 5 bits for the exponent, followed by 8 bits for the mantissa (There are no implied bits). The exponent is in Excess 15 notation.To display the hexademical value of a 4- bit number on a 7-segement display. the LEDs of the seven segment compnent are lit with a logical "0" (actice low). The inputs are (active high). a) complete the below truth tablee for each output b) Using Karnaugh map provide the simplifed expession for each output(a,b,c,d)For the following Boolean equation if you have only (8-1) line MUXS. What is the number of multiplexers you need it to implement the following function f(A,B,C,D,E)=Em(0,1,6,7,8,9,10,11,1,24,25,26,27,29,31) * O 6 O 5 O 7