Design a combinational circuit produces the binary sum of two 2-bit numbers x1x0 and y1y0. The output is C, S1, and S0. Provide the truth table and the drawing of the circuit.
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Design a combinational circuit produces the binary sum of two 2-bit numbers x1x0 and y1y0. The output is C, S1, and S0. Provide the truth table and the drawing of the circuit.
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- A circuit for adding two 3-bit 2's complement numbers (X2X1Xo and Y2Y1Y0) that uses Full Adder (FA) components is shown below. Write the full logic expression to detect overflow. Cout C3 X₂X₁ Xo FA Cir Cout C₂ Cout FA C S Z₂ Z₁ (Y₂) (Y₁ Yo Zo C₁ Cout FA Cin9. The initial value of AX is 01011100, what will be the value of AX after the instruction NOT AX? a.10100011 b. 10100110 c. 010100011 d. NOTCPlease answer this question in 10 mins i will surely rate your answer. 1. A combinational circuit adds either a 1 or 2 to a 4-bit binary number A. Assume that the inputs bb A3, A2, A1, A0 represent the 4-bit binary number. Another input is a control signal C. The circuit has outputs assumed to be X3, X2, X1 and Xo, which represent the 4-bit number X. When C=0, X=A+1 and when C=1, X=A+2. Assume that the inputs for which X > (1111)2 will never occur. Show the design steps in detail including truth tables, K-Maps, logic equation minimisation. Finally, design this circuit using only NAND gates and inverters .
- Consider the multiplexer based logic circuit shown in the figure MUX MUX 1 Select one: a. W S1' S2' O b. W + S2 + S1 c. WS1 + WS2 + S1 S2 O d. WeS1es2Perform the addition of the following 8-bit 2's complement numbers using 2's complement arithmetic. (Reminder: 2's complement numbers are signed numbers.) a) 11001001 + 00110011 b) 10011011 + 01101111 c) 01011010 + 10110110 d) 11001000 + 11100101 Convert each result from the previous problem to signed decimal. Draw the block diagram of the circuit required to implement the operation in Problem 3.Excess-3 code is significant for arithmetic operations as it overcomes shortcoming encountered while using 8421 BCD code to add two decimal digits whose sum exceeds 9. Excess-3 arithmetic uses different algorithm than normal non-biased BCD or binary positional number system. An electronics company has hired your services to design a code converter that converts Binary Coded Decimal (BCD) code for it. Design the converter.
- Q1. a) If 8-bit numbers are used, the two's complement decimal representation covers the range from (most positive). (most negative) to b) Show how to build a 2-input NOR gate from 2-to-1 MUXes. You can freely connect inputs to "1" and "0" as needed. Label the inputs as "A" and "B". Label the output as "X". Your solution must use 3 or fewer 2-to-1 MUXes to receive credit. c) Design an active low D latch with enable input C using only NOR gates and inverters. (Active low D-latch: enabled when enable signal low. Disabled when enable signal high.)Problem: Derive the logic expressions for a circuit that compares two unsigned numbers: X = x2x1xo and Y = = y2y1yo and generates three outputs: XGY, XEY, and XLY. One of these outputs is set to 1 to indicate that X is greater than, equal to, or less than Y, respectively.Computer architecture 1. Perform the following calculations. All numbers are 8-bit Integers; except where noted. Show all work. Note any overflow. Note that 2c signifies 2s complement and sm signifies signed-magnitude. I suggest you check your answers in base 10. 11110110 - 100101112c= 11110110 & 00001111= Convert -1610sm to Base 16 Convert AD16c to Base 10 F9 + E916c=
- DO NOT COPY ANSERWS IT'S INCORRECT A very detailed solution and if you can use a program to design after the work please do.Problem : Design a circuit that takes a 3-bit number and increments it by two using a minimum number of 4x1 Mux's and a minimum number of logic gates the output is 4 bits. Show your work and label all inputs/outputs appropriately.A seven-segment display is a device composed of 7 elements, as shown in the figure below. Each element is selectively lit to form patterns such as numbers or letters. For example, to display '0', the segments A, B, C, D, E and F have to be simultaneously lit. A circuit decoder takes in a 4-bit binary number and produces the outputs A, B, C, D, E, F and G. The outputs of the decoder are then fed to the seven-segment display as shown in the figure. The seven-segment display should show the sum of the 4-bit input + 1. For example, if the 4-bit input is 000 , the decoder’s output will lit up the seven-segment display that will show the numerical number 1. This corresponds to the decoder output of 01100002. In the case wherein the 4-bit input = 1001 , the decoder’s output will lit up the seven-segment display that will show the numerical number 0. This corresponds to the decoder output of 1111110 . The decoder’s output line should be logic “1” if the segment will be lit and “0” otherwise.…1. Gray code to Binary converter: Gray code is one of the codes used in digital systems. It has the advantage over binary numbers that only one bit in the code word changes when going from one number to the next. (See Table 1). Design a combinational circuit with 4 inputs and 4 outputs that converts a four- bit gray code number into an equivalent four-bit Binary number. Use Karnaugh map technique for simplification. Use LogicWorks for pre-lab demonstrations. Select the library "7400dev.clf* in the Parts Palette and then select the XOR chip 74-86. This would give you a set of 4 XOR's as shown in Fig. 1, just like the hardware chip 74-86. You could use as many as needed from these XOR gates in your design. Get back to ALL LIBRARIES and select switches for the inputs and Binary Probes as indicators of the outputs. Verify your design in the pre-Lab. During the Lab construct the circuit and verify its operations.