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.
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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.
Step by step
Solved in 2 steps
- Design a code converter that converts an unsigned number a into its negative 2's complement representation -a. Specifically, the circuit has two inputs: a1 and ao, and three outputs: b1 and bo (the equivalent to -a) and valid, which is 1 when -a can be represented in 2's complement and O otherwise. 1. Write the truth table for the code converter. 2. Give the simplest SOP expressions for the functions b1, bo, and valid.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!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,…
- . Given the function: F(a, b, c) = (a + b)’c + a b c’ + a c a) Create the truth table for function F. 7b) Implement F by means of an 8-to-1 Multiplexer using block diagrams. Implement F by means of a 3-to-8 Decoder using block diagrams and any gates if needed.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 circuit that uses 4-bit full adders and AND gates. Given two 8-bit 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; else R = A + B + 1;
- Design a Moore-type circuit for the pattern recognizer specified below. Show its (1) state diagram, (2) excitation table, (3) K-maps, (4) circuit diagram. A pattern recognizer with a 1-bit output Y accepts a 1-bit input X. Y becomes 1 only if the 1-0-1 pattern is seen at X. The circuit treats the incoming bit stream as overlapping sequences, i.e. the last bit of a previous sequence becomes the first bit of the next sequence. In effect, the circuit looks like the most recent three bits to check against the pattern, like below: X 0010101110100101011 Y 0000101000100001010Use VHDL to implement a 16-to-1 Multiplexer. The inputs are w0, w1, w2, w3, w4, w5, w6, w7, w8, w9, w10, and w11. The last four inputs are not attached to an input signal. How many select bits need the circuit?Implement the following Boolean function with an 8–to–1-line multiplexer and a single inverter with variable D as its input: F(A, B, C, D) = Σm(2, 4, 6, 9, 10, 11, 15)
- Describe the function of a decoder circuit; A decoder circuit is a digital logic component that converts a binary input code of 2n bits into a maximum of unique output lines, with each output line corresponding to one of the possible combinations of the input code. It "decodes" the binary input into a one-hot (also called one-out-of-n) code, where only one output is active (high) at a time while all others are inactive (low). The primary function of a decoder is to detect specific combinations of inputs and assert the corresponding output line Identify the types and quantity of gates needed to implement a 3-to-8 decoder. To implement a 3-to-8 decoder, you need: -Three NOT gates to invert the three inputs if the decoder does not have enable inputs and the implementation requires all minterms. -Eight AND gates, each with three inputs, to generate the eight possible minterms corresponding to the eight different combinations of the three input bits. So, in total, you…Design a digital circuit that performs the sum of two ASCII-encoded numbers A and B standard in 7 bits. Both operand A and operand B contain two digits, that is, the ones and tens. Each digit is represented individually using ASCII encoding standard in 7 bits. For its part, the result will have 3 digits, that is, units, tens and hundreds, this for avoid overflow. These 3 digits will also be encoded in standard ASCII code in 7 bits. As an additional restriction, the sum of the two operands must be done in natural binary, A and are always psoitiveDesign a digital circuit that performs the sum of two ASCII-encoded numbers A and B standard in 7 bits. Both operand A and operand B contain two digits, that is, the ones and tens. Each digit is represented individually using ASCII encoding standard in 7 bits. For its part, the result will have 3 digits, that is, units, tens and hundreds, this for avoid overflow. These 3 digits will also be encoded in standard ASCII code in 7 bits