QuestionQuestion

Transcribed TextTranscribed Text

QUESTIONS 1 Do the following number conversions: All steps should be shown clearly. ( 5 marks ) (i) 325.525 10 (ii) 7565.3510 (iii) AB57.E2 H = (iv) E9B2.C4 H = (v) 7540. 75 8 = = = ________________ 2 ___________________ 8 ______________10 ______________ 2 = ___________________8 ______________10 = _______________BCD 2 (a) Given the following Boolean expression (i) Writethetruthtable. (ii) Simplify the Boolean expression using K-map. (iii)Draw the logic circuit after simplification using gates. ( 3 marks ) (b) For the given truth table, derive the standard SOP and standard POS expressions relating output X and inputs A, B, C and D. Write the answers both as a function of input variables and as a short form using numbers. (1⁄2 x4= 2Marks) 3 Do the following binary arithmetic : (i) Add the two Binary numbers : 11011.11 + 111010.0111 (ii) Add the four binary numbers : 1100+1101+1101+1110 (iii)Subtract the Binary numbers : 101010100. 010 – 1011001 . 011 (iv)Multiply 25 .5 by 8.5 in binary form (v) Perform the binary division : 10110100 ÷ 101 4 (a) Express the following decimal numbers as signed binary numbers : (i) + 758 in signed 1’s complement format (ii) – 58 in sign-magnitude format (iii) –98 in signed 2’s complement format . (b) Represent the decimal number 435689 in BCD format and calculate how many nibbles are there in this BCD number. (c) A typical CD-ROM contains 700 Megabytes of digital data. Express this value in bits. 5 (a) Write the simplified expression for X and give its truth table (b) Write the expression for the output X and develop a truth table for the circuit below: 6 (a) Simplify the following Boolean expression and draw a logic circuit for the simplified expression : (b) Get the expression for the output for the following logic circuit : 7 (a) Write the logic expression for the output X and obtain a truth table for the circuit shown below : By observing the table, explain what function is performed by this circuit. Which logic gate that you have studied, has a truth table similar to that of this circuit ? (b) Simplify the following Boolean expression 8 (a) X and Y are the two keys of a Locker. The Locker will be opened only when the two keys are both turned ON. Draw a logic gate that can do the above operation and write its truth table. ( 2 marks ) (b) A TV set (T) is kept in the main hall of the house. It should be switched ON and OFF through 4 switches A, B, C & D kept at different places. The TV should become ON only when a minimum of three switches are ON. In all other conditions, the TV should be ‘OFF’. (i) Draw a truth table with A,B,C, D as input and T as output to achieve this condition (ii)Get an expression for T in terms of A, B, C and D from the truth table and simplify the expression using a K Map. 9 (a) (b) Obtain a standard SOP expression for X (using their short form representation) In the circuit shown in the figure, if C = 0, find the simplified expression for Y 10 (a) Simplify the Boolean expression using K-map (b) Four inputs A, B, C, D are fed to logic circuit, which produces an output Y which operate a relay. The relay turns on when Y = 1 for the inputs(ABCD): ‘0000’, ‘0001’, ‘0100’, ‘0101’,‘0110’, ‘0111’, ‘1001’, ‘1011’ and ‘1111’. Further the inputs ‘1010’ and ‘1110’ can be treated as don’t cares (d). For the remaining states, the relay is off. ( Y = 0) (i) Draw a Truth table for this condition and write an expression for Y. (ii) Draw a K map for this condition, and simplify the expression.

Solution PreviewSolution Preview

This material may consist of step-by-step explanations on how to solve a problem or examples of proper writing, including the use of citations, references, bibliographies, and formatting. This material is made available for the sole purpose of studying and learning - misuse is strictly forbidden.

Engineering Problems
    $150.00 for this solution

    PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

    Find A Tutor

    View available Engineering - Other Tutors

    Get College Homework Help.

    Are you sure you don't want to upload any files?

    Fast tutor response requires as much info as possible.

    Decision:
    Upload a file
    Continue without uploading

    SUBMIT YOUR HOMEWORK
    We couldn't find that subject.
    Please select the best match from the list below.

    We'll send you an email right away. If it's not in your inbox, check your spam folder.

    • 1
    • 2
    • 3
    Live Chats