Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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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!
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- a. Write a sum-of-products Boolean expression bexp3 for the output ? of this truth table. b. Draw a circuit that is a direct translation of bexp3 without any simplification. For the circuit, try to use the same input order and layout convention as in the example shown belowarrow_forwardThe truth table for a Boolean expression is shown on figure1. A, B, C, D are inputs and Y is the output Write the Boolean expression on SOP form Y = f (A, B, C, D) Minimize the function using Karnaugh Map (K Map) Draw the minimized function using logic gatesarrow_forwardUsing MATLAB compute the convolution of the following signals: a) x (n) = {1,2,4}, h (n) ={1,1,1,1,1} Also, plot the convolution.arrow_forward
- Draw a 4-input adder for single-bit values: that is, a set of logic gates with 4 input wires each representing a number between 0 and 1 and a multi-bit output z, composed of wires z0 through z... (where z0 is the low-order bit, z1 the next, etc., up to the number of wires needed for this task). The gates should ensure that z = the sum of all four inputs.arrow_forwardSelect the correct answer of the BCD addition of: 205+116 Select one: O a. 111100100001 O b. None of the mentioned answers O c. 001100100111 O d. 001100100001 O e. 101100100001 Consider the VHDL package containing the declaration of the decoders 2-to-4 an LIBRARY ieee ; USE ieee.std logic_1164.all;arrow_forwardGiven the following functions, F(A, B, C) = Em(0, 4, 6, 7) G(A, B, C) = [IM(1, 2, 3,4, 7) a. Implement both functions using a PROM chip (draw full grid) b. Implement both functions using as many 2:4 decoders chips (with a single active low enable) and any other logic gates needed in one circuit.arrow_forward
- 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.arrow_forwardUsing the truth table below ( An example sum-of-products expression is (A+B+C)(A+B+C')(A+B'+C)(A'+B+C).) a. Write a product-of-sums Boolean expression bexp4 for the output ? of the truth table b. Draw a circuit that is a direct translation of bexp4 without any simplification. For the circuit, use a layout that is analogous to the layout of the sample circuit below (where the and and or gates are appropriately swapped).arrow_forward
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