Question 4: Consider the following binary function f (a,b,c) = ab+ ac a) Convert f to numerical sum of minterms b) Use the following 3 to 8 decoder and an OR gate to implement f YO Y1 Y2 Y3 Y5 Y6 Y7
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A: The solution is given below
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Q: 5) Write the truth table for a 3-input EX-OR gate by evaluating A=X®Y and then evaluating F=A@Z.
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A: 4 bit up counter. Sequence: 0,1,......15,0 Using T flip flops
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- Design counter that counts from 00 to 59, using the IC 74LS90 ripple counter and use two 7 segment display to display the result count. You can also use 7447 binary to 7-segment Display Decoder. i need the diagram of itProblem 2 a) Convert each of the following binary numbers to octal and hexadecimal forms: (show your work) (1111110000.1)2 (10100110)2 (101100011001)2 b) Express each of the following octal/hexadecimal numbers in binary and decimal forms: (show your work) (7765) 8 (FB17)16 (A14)16 c) Convert each of the following decimal numbers to BCD: (128)10 (547)10 (1051)10Design counter that counts from 00 to 59, using the IC 74LS90 ripple counter and use two 7 segment display to display the result count. You can also use 7447 binary to 7-segment Display Decoder shown below.
- parity generator design, construct and test a circuit that generates an even parity bit ffrom four messages bits . use XOR gates. adding one more XOR gate, expand the circuit so that it generates an odd parity bit also.a) Convert the decimal number - 184 into a signed binary number using (1) sign-magnitude method (2) 1's complement method (3) 2's complement method b) If the above decimal number is positive , that is + 184, then convert it to a signed binary number using 1 's complement method c) Do the following binary subtraction: 101001110.01111- 010011110.10011Q2: For BCD code perform the following, with and without complement: 1. 1000010110 is subtracted from 10101000001. 2. 759 be subtracted from 645.
- calculate, the number of bits required for 8 quantization levels, quantization step size and level values when the input signal to the quantizer has peak to peak values of (-2,3).Let A = ajao and B = b¡bo be two-bit binary numbers. A and B can take on values from 0 to 3 (for example, A = 2 when a1ao = 10. Let C be a two bit binary number whose value equals the magnitude of the difference A – B. We have C = c1c0 = |A – B|. (This means that if B is larger than A then you consider B-A.) You are to design a circuit which accepts A and B (i.e., a¡ aob¡bo) as inputs and outputs the result C = c¡c0. The circuit thus has four inputs and two outputs. For example, the circuit should output c1co = 10 when ajao = 01 and bibo = 11 (C = 2 when A = 1 and B = 3). - Your pre-lab needs to include all items requested in the following steps (plus those requested in the pre-lab handout): 1. After reading through the complete lab, write a description of the expected behavior of the system you will design. 2. Draw a truth table describing the behavior of the circuit. The truth table should show the inputs: aj aobibo (in this order) and the outputs: c1Co · 3. Write the canonical SOP…Determine the binary values for which the following SOP expression is equal to 1: XYZ + XYZ + XYZ + XYZ + XYZ Is this a standard SOP expression? Determine the binary values for which the following POS expression is equal to 0: (X + Y + Z)(X + Y + Z)(X + Y + Z)(X + Ỹ + Ž)(X + Ỹ + Z) Is this a standard POS expression? Convert the expression (A + B)(B+C) to standard POS form.
- b) There are five binary or hexadecimal numbers and six decimal conversions. Draw a line to connect each binary/hexadecimal to decimal number. Binary/Hexadecimal Decimal 4E 78 11011010 157 10011101 167 A7 25 19 218Q1. Show the implementation of 4 bit binary to gray code (shown in below table) converter using either EPROM or PLA. In Gray code only one bit changes at a time. Binary Gray code Decimal equivalent 0000 0000 1 0001 0001 0010 0011 3 0011 0010 4 0100 0110 5 0101 0111 6. 0110 0101 7 0111 0100 8. 1000 1100 1001 1101 10 1010 1111 11 1011 1110 12 1100 1010 13 1101 1011 14 1110 1001 15 1111 1000VI) Convert from Hexadecimal to Binary (а)98BAF516 ()ЕCАC2.12B16 VII) Convert from (i) (ii) Find the binary equivalent of the BCD number(0010000000010100.0101011000100101)BCD Find the BCD equivalent of the binary number 11101001011.10012