Draw a logic diagram using only two-input nor gates

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Reference no: EM133013027

Assignment

Answer the questions with neat steps & procedure

1. Find G(x,y,z), the complement of F(x,y,z) = xy'z' + x'yz

2. Draw a NAND logic diagram that implements the complement of the following function F (A, B, C, D) = Σ(0,1,2,3,4,8,9,12)

3. Draw a logic diagram using only two-input NOR gates to implement the following function F (A, B, C. D) = (A ⊕ B)' (C ⊕ D)

4. Simplify the following function, and implement them with two-level NOR gate circuit

a. F= WX' + Y'Z' + W'YZ' b. F (W, X, Y, Z) = E(1,2,13,14)

5. Express the complement of the following in sum of min terms form

a. F (A, B, C, D) = E(3,5,9,11,15) b. F (X, Y, Z) =11(2,4,5)

6. Convert each of the following expressions into sum of products and product of sums a. (AB + C) (B +C'D) b. X' + X (X + Y') (Y + 2')

7. Express the following functions as well as a sum of min terms and as a product of max terms : F (A, B, D) = B'D + A'D + BD

8. Design a combinational circuit with three inputs, X, Y, Z, and three out puts A, B, C when the binary input is 0, 1, 2, or 3, the binary output is two greater than the input, when the binary input is 4, 5, 6, or 7, the binary output is two less than the input

9. Determine the single error correcting code for the BCD number 1001 using even parity

10. Find the complement of decimal number 7

11. A 12-bit Hamming code word containing 8-bits of data and 4 parity bits is read from memory. What was the original 8-bit data word that written into memory if the 12-bit word is as follows?

a. 000011101010 b. 101110000110 c. 101111110100

Reference no: EM133013027

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