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SOLVE IN DIGITAL FORMAT, DON'T USE AI Simplify the following Karnaugh map and obtain the simplest possible expression: d0 e 0 d0 U 1 d 1 e 1 d 1 e 0 b cabc a b 00 0 0 0 101 a X 0 1 0 1 X 0 0 1 1 0 X ca c b c a b cabcabcabc 1 0 1 0 1 1 0 1 1 1 10 1 100 1 1 1 X 1 1 0 X 0 X 0 0 0 X 0 1 1 1 1

Problem 10

For the K-map in the given figure, the simplified boolean expression is _. K-Map A. B'CD + ABC B. A'C' + A'D' + ABC C. ABD + BC'D + ACD  D. BC'D + ACD

Haming code

For the 4-bit parallel adder shown, input: A4 A3 A2 A1 =1110, B4 B3 B2 B1 =1011, and Cin=0.   Determine the sum output Σ 4 Σ 3 Σ 2 Σ 1. Determine the carry out C4.

For an AND-OR circuit with an output expression AB + AB, determine the 1 and 0 combinations of input variables that make the output a 1. Draw the logic required for this expression. X-NER For an ÁNEGR circuit with an output expression ABC + ABC + ABC, determine the 1 and 0 combinations of input variables that make the output a 1. Draw the logic required for this expression.

Q2. Construct the Mealy and Moore state diagrams for a sequence detector that outputs a 1 when the pattern 100 is detected in the data stream. Sample sequence of data. Fill in the output z 01 0 1 1 1 0 01 0 0 Input (x) Output (z) 00 1000 101 0 0 10 1 001 a) Draw the Mealy State diagram

Question 8 The parity check matrix is given as shown: 10000 1 0 0 100 I 11 H= 0 01011o 0 00 1011 Determine the error correction capability. The given coding scheme can correct at least bit/s in error Valid Codeword (answered Hamming Weight (answered from previous item) Message from previous item) 000 0000000 001 0101001 3 010 1111010 011 1010011 4 100 0110100 101 0011101 4 110 1001110 4 111 1100111 Note: Enter your answer only. No spaces in between, before, or after the answer. Other formats will be invalidated. Sample Answer: 1

A:0. Worksheet IV-.. Worksheet IV 2021 1. Identify each of the following expressions as SOP, standard SOP, POS, or standard POS: (a) AB + ABD + ĀCD (c) ABC + ABC (b) (A + B + C)(A + B + C) (d) A(A + C)(A + B) 2. Convert each SOP expression in Question 1 to standard form. 3. Convert each POS expression in Question 1 to standard form. 4. Obtain the truth table of the following functions, and express each function in sum-of-minterms and product-of-maxterms form: (a (xy + 2)(y + x) (c) x'z + wx'y + wy:' + w'y' (b) (x +y')(y' + z) (d) (xy + yz' + x'z)(x + z) .5. Simplify the following Boolean expressions to a minimum number of literals: (a) ABC + A'B + ABC' (c) (x + y)'(x' + y') (e) (BC' + A'D)(AB' + CD') (b) x'yz + xz (d) xy + x(wz + wz') (f) (x + y' + z')(x' + z') 6. Write the Boolean equations and draw the logic diagram of the circuit whose outputs are defined by the following truth table: 1 1 1 Page 1 of 1

For the counter shown below,the sequence of counting for this counter is (in decimal): CLK PL U/D Operation Q3 Q2 QI Q0 PL D3 D2 DI DO Load UID Counts up Counts down clk 0 1 1 1 Select one: 1 2 3→4→1→2...etc O11 10 9→8→7→11.....etc 7 8 9 10→11→12→7→8.....etc 12 11 10-9→8→7→12.....etc O7 8→9→10→11→7, 8, ....etc 3 2 1 0→3.....etc 0 1 2 3→0→1...etc 3-2 1+3...etc 4 3→ 2→1→4→3.....etc Answer is not listed X个不

Q/ Verilog HDL code for the given Boolean expression Ao Во A₁ B₂ Ag B₂ D W X Y NT Z S1 SO 4:1 MUX Fo

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