Question: Choose the correct answer. Which one of the following expressions represents the DeMorgan theorem? Select one:a. none of the given optionsb. (A+B)'=A'B'c. (X')'=Xd. X+X=X2. The parity bit that is added to a binary number is equal to 1 if the number of ones is more than the number of zeros.Select one:TrueFalse 3.(754)10 is equal to (111101100)BCD. Select one:TrueFalse 4. In a 4 by 2 standard encoder, if the input is 1001, then the output should beSelect one:a. Invalid inputb. 10c. 01d. none of the given choices 5. The 2’s complement of the binary number (1100100)2 is:Select one:a. (0011100)2b. (0010011)2c. (1101100)2d. None of the given options 6. What will be the output of the 4-to-1 Multiplexer if the input is 0110 and the Selector is 10?Select one:a. none of the given optionsb. 0c. 1d. 10 7. The Term C'B'D in the simplified boolean expression for F(D, C, B, A) = ∑ (0, 2, 5, 7, 8, 9, 10, 13, 15) is an essential prime implicantSelect one:TrueFalse 8. When constructing the state table, the output always depends onSelect one:a. The Present stateb. The inputsc. The next stated. none of these 9. The complement of the maxterm j is equivalent to the minterm j.Select one:TrueFalse 10. To correct BCD addition in binary, we must add.Select one:a. none of the given optionsb. 0110 if the sum 1000d. Add carrye. 0110 if the sum 1001 11. If the Boolean function F(A,B,C)=∑(0,1,2,5) is implemented using a 4 to 1 line multiplexer, and the input was 010 what is the output will be?Select one:a. none of the given optionsb. 1c. 0d. 0135 12. When constructing the state table to design a sequential circuit, the Flip-Flop inputs are found from the present and next state and using :Select one:a. the truth tablesb. none of the given optionsc. the state tablesd. the excitation tables 13. The minimum number of decoders required to implement three Boolean functions F1, F2, and F3 is:Select one:a. 1b. 0c. 2d. none of the given options 14. There is only one simplified boolean expression for each k-mapSelect one:TrueFalse 15. To design a sequential circuit with 5 states, the minimum number of Flip-Flops required is :Select one:a. 2b. 3c. 1d. none of the given options 16. What is the maximum positive signed number that can be represented in 8 bits?Select one:a. 127b. 255c. 128d. none of the given options 17. The combinational circuit that converts binary information from n coded inputs to a maximum 2n decoded outputs, (unique output lines) is called:Select one:a. Multiplexerb. Priority Encoders.c. none of the given optionsd. Binary Decoder 18. From the types studied, the Flip-Flop type that is expected to require the least gates to implement any design generally isSelect one:a. None of the given optionsb. SRc. Dd. JK e. T 19. What will be the output of the 4-to-2 standard Encoder if the input is 0010?Select one:a. 00b. 10c. 01d. none of the given options 20. In a JK Flip-Flop, if the present state is 1, and the next state is 1 , then the inputs must be:Select one:a. J=1b. J=0c. J=1 and K=0d. none of the given optionse. K=1 21. The number of columns in the state table required to be simplified when designing a 4 bit counter using JK Flip Flops is:Select one:a. 4b. 2c. 8d. None of the given options 22. ASCII code is used to represent alphabetical characters as a weighted binary number.Select one:TrueFalse 23. The simplified POS of the Boolean expression F(A,B,C,D) = A’B’C’ + B’CD’ + A’BCD’ + AB’C’+ A’BC’ is:Select one:a. A’C’+B’C'+A’D’+B’D'b. none of thesec. (A’+C’)(B’+C')(A’+D’)(B’+D')d. (A'+B')(C'+D') 24. Which of the following can be used to implement an 8-bit full adder with no input carry?Select one:a. Seven full adders and one half adderb. All of the given optionsc. Four 2 bit addersd. Eight full adders 25. In any Flip-Flop, if the clock is not triggered, the output is expected to become;Select one:a. none of the given optionsb. 0c. equal to the previous valued. 1 26. Which one of the following combinational circuits functions as ‘Selector’?Select one:a. Multiplexerb. Binary Encoderc. None of the given choices.d. Binary Decodere. Demultiplexer

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Question: Choose the correct answer.  Which one of the following expressions represents the DeMorgan theorem? Select one:a. none of the given optionsb. (A+B)'=A'B'c. (X')'=Xd. X+X=X2. The parity bit that is added to a binary number is equal to 1 if the number of ones is more than the number of zeros.Select one:TrueFalse 3.(754)10 is equal to (111101100)BCD. Select one:TrueFalse 4. In a 4 by 2 standard encoder, if the input is 1001, then the output should beSelect one:a. Invalid inputb. 10c. 01d. none of the given choices 5. The 2’s complement of the binary number (1100100)2 is:Select one:a. (0011100)2b. (0010011)2c. (1101100)2d. None of the given options 6. What will be the output of the 4-to-1 Multiplexer if the input is 0110 and the Selector is 10?Select one:a. none of the given optionsb. 0c. 1d. 10 7.  The Term C'B'D in the simplified boolean expression for F(D, C, B, A) = ∑ (0, 2, 5, 7, 8, 9, 10, 13, 15) is an essential  prime implicantSelect one:TrueFalse 8.  When constructing the state table, the output always depends onSelect one:a. The Present stateb. The inputsc. The next stated. none of these 9.  The complement of the maxterm j is equivalent to the minterm j.Select one:TrueFalse 10. To correct BCD addition in binary, we must add.Select one:a. none of the given optionsb. 0110 if the sum < 1001c. 0110 if the sum >1000d. Add carrye. 0110 if the sum > 1001 11.  If the Boolean function F(A,B,C)=∑(0,1,2,5) is implemented using a 4 to 1 line multiplexer, and the input was 010 what is the output will be?Select one:a. none of the given optionsb. 1c. 0d. 0135 12.  When constructing the state table to design a sequential circuit, the Flip-Flop inputs are found from the present and next state and using :Select one:a. the truth tablesb. none of the given optionsc. the state tablesd. the excitation tables 13.  The minimum number of decoders required to implement three Boolean functions F1, F2, and F3 is:Select one:a. 1b. 0c. 2d. none of the given options 14.  There is only one simplified boolean expression for each k-mapSelect one:TrueFalse 15. To design a sequential circuit with 5 states, the minimum number of Flip-Flops required is :Select one:a. 2b. 3c. 1d. none of the given options 16.  What is the maximum positive signed number that can be represented in 8 bits?Select one:a. 127b. 255c. 128d. none of the given options 17.  The combinational circuit that converts binary information from n coded inputs to a maximum 2n decoded outputs, (unique output lines) is called:Select one:a. Multiplexerb. Priority Encoders.c. none of the given optionsd. Binary Decoder 18. From the types studied, the Flip-Flop type that is expected to require the least gates to implement any design generally isSelect one:a. None of the given optionsb. SRc. Dd. JK e. T 19.  What will be the output of the 4-to-2 standard Encoder if the input is 0010?Select one:a. 00b. 10c. 01d. none of the given options 20.  In a JK Flip-Flop, if the present state is 1, and the next state is 1 , then the inputs must be:Select one:a. J=1b. J=0c. J=1 and K=0d. none of the given optionse. K=1  21. The number of columns in the state table required to be simplified when designing  a  4 bit counter using JK Flip Flops is:Select one:a. 4b. 2c. 8d. None of the given options 22.  ASCII code is used to represent alphabetical characters as a weighted binary number.Select one:TrueFalse 23. The simplified POS of the Boolean expression F(A,B,C,D) = A’B’C’ + B’CD’ + A’BCD’ + AB’C’+ A’BC’ is:Select one:a. A’C’+B’C'+A’D’+B’D'b. none of thesec. (A’+C’)(B’+C')(A’+D’)(B’+D')d. (A'+B')(C'+D') 24.  Which of the following can be used to implement an 8-bit full adder with no input carry?Select one:a. Seven full adders and one half adderb. All of the given optionsc. Four 2 bit addersd. Eight full adders 25.  In any Flip-Flop, if the clock is not triggered, the output is expected to become;Select one:a. none of the given optionsb. 0c. equal to the previous valued. 1 26. Which one of the following combinational circuits functions as ‘Selector’?Select one:a. Multiplexerb. Binary Encoderc. None of the given choices.d. Binary Decodere. Demultiplexer

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Which one of the following expressions represents the DeMorgan theorem? Select one: a. none of the given options b. (A+B)'=A'B' c. (X')'=X d. X+X=X