1. From the 2-to-4 binary decoder depicted below which is consists of an array of four AND gates. According to 4 outputs, find out the Boolean expression depend on Minterms. QO A Q1 Outputs Q2 2X4 Binary Decoder Inputs Q3 A Q0 Q1 Q2 Q3 1
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Q: Assuming (56) based 10 = (abcdefg) based 2, consider the Boolean function F(A, B, C, D) given by the…
A: Solution::
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- Based on the following image answer the following questions; a. Write a boolean algebra expression for each of Q0, Q1, Q2, and Q3: b. Draw a circuit that produces each of the functions from a single set of inputs A1 and A0: c. Each input combination of A1 and A0 represents a 2-bit binary number. How is this related to the outputs?Design a sequence detector of the pattern 0100 where the circuit accepts a serial bit stream *X" as input and produces a serial bit stream *2° as outputWhenever the bit pattern *0100* appears in the input stream, it outputs 2 = 1: at all other times, 2 = Q Overlapping occurrences of the pattern are also detected,Find the output of the first round of stage 1 of SHA-1 for a 512-bit input of all 0’s. Assume H0 = 0 for this problem.
- a. Draw a block diagram of a 3-bit by 3-bit binary multiplierb. How many AND gates are require to multiply two three bit numbers?Consider 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,…Design a state machine to output the binary values (include leading zeros e.g. 0101} for the following sequence each time a increase count input line changes from 0 to 1. When it reaches the end it starts over at beginning {1, 3, 9, 5, 7, 3}. It has a second input line forward/reverse which will change its direction to go in reverse direction if this line is high..
- . Implement a circuit for the following problem using Logisim. The input to the circuit are 3 4-bit numbers, A,B,C. The sum of A and B is subtracted from C. The difference (result of subtraction) is compared with A. The circuit has 3 outputs lines depending on comparison. Use appropriate chips in Logisim for the operations mentioned Answer step by stepDesign a combinational circuit that uses 4-bit adders and 2-to-1 MUXes. Given two 8-input signed 2s-complement numbers A and B and a binary input signal M, your circuit should produce an 8-bit signed 2s-complement result R, as follows: if (M == 0) R = A + 7; else R = B + 15;4 bit 2’s Complement Multiplier INPUT A: 4 bit 2’s Complement numberINPUT B: 4 bit 2’s Complement numberOUTPUT: the product of A x B represented as a 8 bit 2’s Complement number Do this:Build a 4 Bit UNSIGNED Multiplier as a subcircuit named UnsignedMultiplier use AND gate ,full and half adders for the circuit
- design the following circuits, for 4 bit binary input(0000-1111): ● a circuit that can detect prime numbers ● a circuit that can detect fibonacci numbers ● a circuit that can detect tribonacci numbers ● a circuit to detect catalan numbers between 0-15Design 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.Please help with the following in regards to Nand2Tetris, and hack code, so hack assembly and hack vm. There can be more that one answer to a question if so please explain why. 1d. A symbol may be: a. @followed by a number b. @followed by a lower case word c. @followed by upper case word d. a and b e. b and c 1e. Every boolean expression of N inputs and one output can be implemented a. using a combination of D flip-flops, multiplexors and registers. b. by connecting the output directly to all of the N inputs. c. using a combination of And and Or gates. d. using a combination of And, Or and Nand gates 1f. In twos-complement arithmetic, to create a negative value of a number X: To subtract X from Y: a. invert (Not) every bit in the number X. b. invert the most significant bit of X. c. add 1 to X, and invert every bit. d. subtract 1 from X, and invert every bit e. add 1 to X f. invert every bit of X and add 1