For the below given boolean function F1 implement an active high 4-to-16 decoder with OR gate? And F2 implement same Boolean function using active low 4-to-16 decoder with NAND gate. F1(X,Y,Z,W) = x(0,1,3,4,8,9,15) F2(X, Y, Z, W)= E(2,4,6,8,10) F2 F1
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- 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.Construct a circuit diagram that checks whether the two numbers A and B are in the ratio of 2:3. Also, derive the final Boolean equation for the function. F = 1 if A: B = 2: 3,0 otherwise Here, A and B both are 3 bit binary numbers. NB: You cannot use the IC of comparator, meaning for the comparison part, you need to draw the gate level diagram. You can use block level diagrams for the rest of the parts.4. For the NOR gate function shown below a) Write the switching expression for the output, F(A,B,C,D) b) Simplify this switching function so that the only gates involved are AND, OR, and NOT gates. c) Draw the logic diagram of this simplified expression using only AND, OR, and NOT gates. am 1, S..pdf DII PrtScn F8 Home F9 End F10 F3 F4 F5 F6 F7 &
- Implement the function f(w1, w2, w3) = m(0, 1, 3, 4, 6, 7) by using a 3-to-8 binary decoder and an OR gate. Implement the function f(w1, w2, w3) = w1w2w3 + w1w2 + w1w3 by using a 3 to 8 encoder and as few other gates as possible3. Discussion: 1. Compare between BCD code & Excess-3 code? 2. What is the reason of inventing Excess-3 Codes? 3. Find the Excess-3 code of (83.67)10 and show your work? 4. Find the decimal number of (11110001101010)Excess-3 and show your work? 5. What is the Excess-3 code of (100100001111001)BCD ? Show and verify yourwork.5) Realize the following functions using decoder and logic gates. a. Implement f(w1,w2,w3) = Em (0,1,2,3,4,5,7) using 3-8 decoder and OR gate. b. Implement f(w1,w2,w3) = Em (0,4,5,6) using 3-8 decoder and AND gate. c. Implement f(w,x,y,z) = Em (0,4,7,12,14) using 3-8 decoder and logic gate.
- (a) Convert the following numbers: (i) F2B16 to Octal. (ii) 1011101 Gray to BCD. (iii) -12510 to 10 bits One's complement.so we were asked to implement a 3-bit BCD number on DE0’s board segment display for quartus... using 7447 but 7447 has 4 inputs? (see attached screenshot for problem) also not sure what the items in the second screenshot should be doing? like i can put inputs and outputs..but i don't know what they are? and its not discussed other than they can supply power?a) Convert the given BCD number into decimal BCD 1010101001 Decimal b) Convert the given binary number into Grey Code |Binary Grey Code 1010101001
- Q1. 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 10003. Logic Design a. Create the truth table of a 3-input AND gate. Realize the 3-input AND operation using only 2-input NOR gates. b. Create the truth table of a 3-input OR gate. Realize the 3-input OR operation using only 2- input NAND gates. c. Using AND and OR logic gates, implement the logic function: F(x, y, z) = xy + yz + zx d. Using NAND logic gates, implement the logic function: F(x, y, z) = xy + yz + zxQuestion 1. Which base, hex or octal, is more commonly used today as a shorthand representation for binary numbers and why? To answer, refer to Table 2.1 and consider the following: a. which base, hex or octal, will require fewer digits to represent a binary number? And b. given that a byte is comprised of 8 bits, which base, hex or octal, can be more compactly used to represent an 8-bit (1-byte) binary number? Assume a byte value of 11111111 and convert to octal and hex. Write your answers, including explanations, in your lab journal. Table 2.1: Numbers 0 to 31 and 56 to 71 in decimal (base 10), binary (base 2), octal (base 8), and hexadecimal (base 16). Decimal Binary Octal Hex Decimal Binary Octal Hex 00 0000 00 00 56 11 1000 70 38 01 0001 01 01 57 11 1001 71 39 02 0010 02 02 58 11 1010 72 ЗА 03 0011 03 03 59 11 1011 73 3B 04 0100 04 04 60 11 1100 74 3C 05 0101 05 05 61 11 1101 75 3D 06 0110 06 06 62 11 1110 76 ЗЕ 07 0111 07 07 63 11 1111 77 3F 08 1000 10 08 64 100 0000 100 40 09…