Given the boolean expression (X+Y). (X+Z) = X.Z+X.Y Which common functional unit (i.e. standard digital circuit component) does the Boolean expression describe?
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- 1. Derive a Boolean expression for the following digital circuit and sketch the true table. A B X CDetermine the binary values for which the following SOP expression is equal to 1: XYZ + XYZ + XYZ + XYZ + XYZ Is this a standard SOP expression? Determine the binary values for which the following POS expression is equal to 0: (X + Y + Z)(X + Y + Z)(X + Y + Z)(X + Ỹ + Ž)(X + Ỹ + Z) Is this a standard POS expression? Convert the expression (A + B)(B+C) to standard POS form.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.
- Digital Signal ProcessingAnalyze FFT-DIT for a sequence of x(n) = {8 1 4 5 6}. Sketch the FFT structure andlabel all signal in detail in the structure. USE ONLY 5 digit given, dont add own valueDIGITAL DESIGN COMP 231 Qution 1: I- Perform the subtraction with the following unsigned binary numbers by taking the 2's complement of the subtrahend.a. (0.1101 - 10110)ib. 0.11011 - 1001) II. Convert the followinga. 99710 =() 16b. 25710 =()sc. 65410 =() 2d. 10116=()10Convert each SOP expression to standard SOP form.?
- Q1/Binary to octal conversion (2D9)16 =( )2Implement the function F(A, B, C) Em(0.1.3.5.6.7) using a 4-way multiplexer Select one: 1a) Using the K - Map simplify the following standard SOP expression X = Im (0, 1, 3, 4, 5, 6, 9, 11, 12, 14 ) and find the simplified expression for X b) Implement the above simplified expression using gates. C) Write the standard POS expression for X given in part (a), as a function of input variables (A, B, C .) d) Briefiy explain Analog to digital converter ?
- i) ii) iii) What is the range of a 32-bit unsigned integer? What is the range of a 32-bit signed integer? What is the binary representation of whole number 1,234 as a 12-bit unsigned integer? What is the binary representation of whole number 1,234 as a 12-bit signed integer? What is the binary representation of whole number -1,234 as a 12-bit signed integer? iv) v)b) A digital weighing scale measures the weight of a real-world object, processes the data and stores it in binary form. Using the principles of digital signal processing, practically explain how this phenomenon occurs. c) Determine the 32-bit binary representation for floating point numbers in the form where I is the interger part, Fis the fraction, b is the base, and e is the exponent. +I.Fx b° Using this format, represent the number -100111.0101100112 as a 32 bit floating point number.An information or message signal represented as voltages or currents with infinite number of possible values is called as; a. Modulated signal O b. Digital signal O c. Discrete signal O d. Continuous Variable