Given the truth table of a set of digital circuits with four inputs (a,b,c and d) and three outputs (F, G and H). d) Implement the circuits for all three outputs (F, G and H) using the three 4:1 muxes.
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- Design a circuit with a 4-bit BCD input A, B, C, D that produces an output W, X, Y, Z that is equal to the input + 3 in binary. For example, 9 (1001) + 3 (0011) = 12 (1100). The outputs for invalid BCD codes are don’t-cares. Write the truth table and the Karnaugh maps used to simplify the Boolean expression!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 thesigned-magnitude BCD number. A negative output is represented in the Binary 2’scomplement form.For the given circuit (Figure A) and input, Write your answer without spaces as follows: 10101010. EN a bc do d, d2 d3 d4 d5 de d7 0 0 1 1 The output is Blank 1 10 1 1 The output is Blank 2 3-to-8 decoderA(3).jpg ... do do a 22 x 22 3-to-8 dz 3-to-8 dz b →21 y →21 -> Decoder d,> Decoder d4> c - 2° z -20 EN EN- d, d,> Figure A Figure B
- Q19/ a combinational circuit has four inputs (A, B, C, D), which represent a binary- coded- decimal digit. The circuit has two groups of four outputs S, T, U, V, and W, X, Y, Z each group represents a BCD digit. The output digits represent a decimal number which is 1 more than four times the input number. For example if ABCD=0011, the output are 0001 0011. Assume that invalid BCD digits do not occur as inputs. a- Construct the truth table b- Write minterms and max terms for all output C- Find SOP and POS for all outputConsider a special purpose decoder that is called BCD to seven-segment decoder. The decoder takes a 4-bit Binary Coded Decimal (BCD) number X3 X2 X4 X0 (0-9) and produces 7 outputs a, b, c, d, e, f, and g The specification of this circuit is as follows: ⚫ The 7 outputs of the decoder are connected to LED segments as shown in the figure below. The LEDs are active low, ie, the LED emits light when it is connected to logic 0. • The decoder output is determined in a way so that the LED segments display the decimal representation of the input. For example, if the input X3 X2 X1 X0 is 0001 respectively (which is equivalent to decimal 1), the outputs a, b, c, d, e, f, and gare 1001111 showing the letter 1 on the display (remember the LEDs are active low). Decoder W- 4x7 e U Answer the following questions: a. Fill in the truth table of that decoder. Choose a good value for the output when the input is greater than decimal 9. b. Derive the simplified Boolean expressions for the outputs a, b, c,…Computer Science: Give the correct answer with the correct work being shown You have been asked to implement a digital circuit. This circuit consists of threeinputs (X1, X2, and M) and one output (OUT). When M equals 1, OUT will equal theBoolean OR of X1 and X2. If M equals 0, OUT will equal the Boolean AND of X1 and X2.a. Construct a truth table to describe the behavior of the circuit.b. Write the sum-of-products for OUT.c. Provide an implementation of your sum-of-products. You are to use AND, NOT, andNOR gates only.
- The Nyquist sampling rate required to sample the signal x(t)= [sin (1000 zt)] is equal to. O 200 Hz O 1000 Hz O 2000 Hz O 100 HzComputer Science if a 12-bit linear pcm code with a resolution of 0.188V, if the voltage range that would be converted to the pcm code: 111110111101 is in the form X volts to Y volts where X and Y are constants. Find X+YA 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.
- determined as X₁ Do X2 X3 AND plane O a. f2(X1,X2,X3) = X2'X3' + X1X2 O b. f2(X1,X2,X3) = X1'X2'X3 + X1X2 O c. f2(X1,X2,X3) = X2'X3 + X1X2 O d. f2(X1,X2,X3) = X1'X2'X3' + X1X2 P₁ P₂ P3 P4 f₁ ONSTIVAL OR plane f2Implement a circuit using a decoder that adds three binary digits B0, B1, and B2.Evaluate the difference X = Y - Z, where Y = 10001110 and Z = 11110000. For Example: A is a binary number, the one's complement of A is obtained by subtracting each digit of A from 1, and the two's complement of A is its one's complement plus 1. Compare the outputs of different gates Logic gates representation using the Truth table.