From the following K-Map derive the simplified Boolean Expression ar AB CD 00 01 11 10 00 0 0 01 11 10 1 1. 1. 1. 1. 1. 1.
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- What parity bit, P, should be added to the following data if the parity is EVEN? If the parity is ODD? a. 1111100 b. 1010110 c. 0001101Add the following BINARY NUMBERS 100010111.10111+ 101100001.1101023. The binary number 101110101111010 can be written in octal as a. 515628 b. 565778 c. 656278 d. 565728
- Add the following unsigned binary numbers. a. 10101 + 1010 b. 101011011 c. 1111+1111 d. 11100+ 1110 e. 11001+ 10011 f. 111011+101001Computer architecture 1. Perform the following calculations. All numbers are 8-bit Integers; except where noted. Show all work. Note any overflow. Note that 2c signifies 2s complement and sm signifies signed-magnitude. I suggest you check your answers in base 10. 11110110 - 100101112c= 11110110 & 00001111= Convert -1610sm to Base 16 Convert AD16c to Base 10 F9 + E916c=The binary string 11010111100101 is a floating-point number expressed using the 14-bit simple model given in your text. What is its decimal equivalent? Note: in the 14-bit simple model, the left-most bit is the sign, followed by 5 bits for the exponent, followed by 8 bits for the mantissa (There are no implied bits). The exponent is in Excess 15 notation.
- - The proportional distribution of A, B, C, D signals is given in the table as a percentage. It “logic 1” when the signals are accepted as active, “logic 0” when they are accepted as passive. takes. - When the proportional sum of active signals is over 50%, its output is "logic1", When we accept "logic 0" when it is below 50%, the output in the table Find the values. - Create an X function based on the logic values you find. Simplify the created X function. - Design the simplified function with NAND and NOR gates. - Set up the circuits you designed with NAND and NOR gates and observe the outputs. Show the output values by drawing a table, applying all possibilities to the input values.- The proportional distribution of A, B, C, D signals is given in the table as a percentage. It “logic 1” when the signals are accepted as active, “logic 0” when they are accepted as passive. takes. - When the proportional sum of active signals is over 50%, its output is "logic1", When we accept "logic 0" when it is below 50%, the output in the table Find the values. - Create an X function based on the logic values you find. Simplify the created X function. - Design the simplified function with NAND and NOR gates.Exercises : Convert the following binary numbers to Hexadecimal numbers: (b) 1100111010002 (a)11001010010101112 (c) 101010. 101012 (d) 1111110001.011010012 0110111012 (e) 1011001110. Answers:
- How to represent zero in 8-bit l's complement? O a. 00000000, 1111111 O b. 00000000 Oc. 1111111Perform the addition of the following 8-bit 2's complement numbers using 2's complement arithmetic. (Reminder: 2's complement numbers are signed numbers.) a) 11001001 + 00110011 b) 10011011 + 01101111 c) 01011010 + 10110110 d) 11001000 + 11100101 Convert each result from the previous problem to signed decimal. Draw the block diagram of the circuit required to implement the operation in Problem 3.Digital Electronics and Design QuestionWhich of the following statements in an arbitrary Boolean algebra are correct, which are not?Prove or disprove your claim.(Do not use Karnaugh Map)