Design a circuit using a Multiplexer, (((USING A MULTIPLEXER NOT A DECODER))) that has two inputs X, and S, where X represents an 8-bit BCD number, S is a sign bit. The circuit has one output Y, which is the Binary representation of the signed-magnitude BCD number. A negative output is represented in the Binary 2’scomplement form.

A multi-input multi-output digital system as in figure (project x) has 6- inputs (a, b, c, d, e & f) with 6-outputs (k1, k2, k3, k4, k5 & k6). A- Find the function of the outputs. a HA 12 kl Decoder b D k5 с d 44 FA 66 16 k6 k3 MUX 17 k4

Assume that a digital circuit represents numbers in 8-bit. In this circuit what is the 1’s and 2’s complement representations of -51 and +127?

A majority circuit is a combinational circuit whose output is equal to 1 if the input variables have more 1's than 0's. The output is 0 otherwise. For examples in 3-bit majority circuit with the input variable x, y, z. The output variable is equal to 1 for the decimal numbers 3 (the binary number of 3 is 011), 5 (the binary number of 5 is 101), 6 (the binary number of 6 is 110), and 7 (the binary number of 7 is 111). All these numbers have more 1's than O's. (e.g., 3 in binary has two 1's and one O's; 7 in binary has three 1's, no 0's). Design a 4-bit majority circuit by finding the circuit truth table, the Boolean function, and the logic diagram.

The following code is executed in MATLAB with an unknown digital sinusod, xx fs = 4000; xx = unknown_sinusoid; soundsc (xx,fs) This results in a 1000 Hz tone that lasts for 12 seconds. If the first line were changed to fs = 12000 meaning the sampling frequency, fs, for the D-to-A conversion was chaged from 4000 Hz to 12,000 Hz, what would the output tone played by soundsc be and how long would the tone last?

Find the maxterm expansion of the truth table and develop a digital circuit that works with the given truth table.

Design a 2-bit comparator. The comparator input has two 2-bit numbers A and B. A consists of 2 bits a1 and a0. B consists of 2 bits b1 and b0. The comparator has three outputs Z2, Z1, Z0. a. Show the truth table for this comparator. b. Write the logic equation for Z2 that are true if only if A < B c. Write the logic equation for Z1 that are true if only if A > B d. Write the logic equation for Z0 that are true if only if A = B e. Show the logic design for this comparator using the minimum number of AND, OR, and Inverters. f. Verify your design using Logisim.

Write a program in MIPS(MARS) for the conversion of binary digit (8bit) to BCD

You are asked to design a circuit to detect if an overflow occurs when subtracting two integers represented in two's complement: Z= X - Y. Let Sz, Sx, and Sy be the sign bit for Z, X, and Y respectively, and they are fed as input to the circuit. Let O be the output bit of the circuit, whose value is 1 if an overflow happens, and 0 if otherwise. a) Build the truth table for O as a Boolean function of Sx, Sy, and Sz. b) Write the canonical expression (sum-of-product) for the Boolean function defined in the part a. c) Implement the Boolean expression defined in part b with a circuit by using AND, OR, and NOT gates. Draw the wiring diagram.

Using MATLAB compute the convolution of the following signals: a) x (n) = {1,2,4}, h (n) ={1,1,1,1,1} Also, plot the convolution.