Question 1 Determine the pulse duration of a periodic pulse train whose duty cycle is 15% and period is 120 nanoseconds. а) b) Draw the truth table for the following combinational logic circuit. A B C c) Create the gray code representation of the following binary numbers. i) 11101ii) 01101 iii) 10111 iv) 00110 v) 01100
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- Convert the binary NUMBER 11111110001.01110 to decimal number (Show the steps in paper, scan and submit along with other answers) Decimal no = Convert the decimal number 14678.972167969 into a HEX NUMBER showing the steps (Note: The problem should be solved in separate paper with steps and scanned copy should be submitted along with other answers Final answer must be entered in the boxes provided below. For Hexadecimal digits from A to F, enter their equivalent decimal value in the corresponding box; do not enter the letter; (For eg, if answer is A, then enter 10, for B, enter 11 and so on) Enter only one digit in each box. Also fill the unused boxes with zeros) However, in your written submissions, use the letters A to F instead of the values The integer part = The fractional part =Q1. Convert following numbers in given radix system: a. (697)10 into Octal and Hexa decimal b. (2D9)16 into Decimal and Octal Q2. Using two's complement representation, solve: a. 101110001 – 1111111001 b. 1010101010 – 1010010101 Q3. Perform following arithmetic operations: a. (6767)10 + (3592)10 using BCD b. (C7C)16 - (B0E)16 using 16's complement Q4. A code 1011011 needs to be sent to the receiver. Using, hamming code find out the code- word and the mechanism to check the corrected data when error occurred at 4th bit. (Assumptions: Right to Left with Odd Parity) Q5. (a) Convert the following logic gate circuit into a Boolean expression, writing Boolean sub-expressions next to each gate output in the diagram: A (b) Realise Ex-OR gate using universal gate? Q6. Implement and simplify f (A, B, C, D) = E(1,3,5,8,9,11,13,15) using K-map?Convert the following number into binary number to octal and then to decimal. Answer all the question and provide step by step solution. a) 11011100.101010 b) 01010011.010101 c) 10110011
- 1. Convert the following decimal numerals to their binary, octal and hexadecimal equivalents (in case of infinite extension, compute the first 10 digits after dot): a. 55438, b. 237170, c. 586.609375 d. 22.016845703125 e. 416.712 2. Convert (416.715); to its decimal, binary, and hexadecimal equivalent 3. Find appropriate numeral system base, for which given equation is correct: a. 12,1 = 302/20 b. 41/3 = 13 c. 23+44+14+32 = 223 4. Find 8-bit l's complement numerals representing the following decimal numerals: a. 89 b. 135 c. 225 d. -37 e. -78 f. -128 g. -230 5. Repeat task 4, this time searching for 2's complement numerals 6. Compute: a. 11100 + 10001 b. 11100 + 00100 c. 01100 - 10011 assuming (one-by-one): signed-magnitude, l's complement, 2's complement representationThe following waveforms are the input to the shift register you constructed in question #5. Based onthe waveforms for the CLK (clock) and D0 input (input on the leftmost Flipflop), generate thewaveforms for Q0, Q1, Q2, Q3, Q4. (Question #5 is "Using JK-Flipflops and Digital Logic Gates, build a 5-stage Shift Register")Q1. Convert the BCD number (100001000111.1001)Bcd into its equivalent Hexa-decimal number.
- QUESTION 1 In digital system, the number system is used to represent the information and the system has different bases. Define the term of sign bit in a binary number. Convert the number 100110102 into Hexadecimal. Convert the number 125, into Decimal. a) b) c) d) i) ii) iii) Convert the following numbers into the respective code. Show all steps in the calculations. i) ii) 27 into Gray Code. 11011010₂ into Binary Coded Decimal (BCD). Using 8-bit 2's complement number system, show the arithmetic operation of the following expressions: 01111001BCD - 258 i) ii) -49-2B16 Draw the logic circuit for output F in the following expression by using NAND gates only. F = ABC + ACAnswer the following Hexadecimal to decimal conversion problem: Convert the HEX NUMBER 6637. 8E85 to decimal number ( show steps in paper, scan and submit along with other answers)Convert the given number system to another number system. SHOW COMPLETE SOLUTION. 101111010101 base-2 to:a. Octalb. Decimalc. Hexadecimal
- b) There are five binary or hexadecimal numbers and six decimal conversions. Draw a line to connect each binary/hexadecimal to decimal number. Binary/Hexadecimal Decimal 4E 78 11011010 157 10011101 167 A7 25 19 218Design a code converter that converts a decimal digit from BCD to excess-3 code, the input variables are organized as (A BC D) respectively with A is the MSB, the output variables are organized as (W XY Z) respectively with W is the MSB, put the invalid decimal numbers as don't care. X= BCD'+B'D+B'C X= BC'D'+B'D+BC X= BC'D'+B'D+B'C X= BC'D'+BD+B'CWhat will be the modified form of the following codeword is odd parity scheme is used: Codeword: 0110101