Design a 4-bit even-parity detector (3 data bits and 1 parity bit) 1. Draw the block diagram of the circuit. Inputs A BCP Output 1 10 1 1 1 1 1 0|0 1 10 1 2. Derive the corresponding Boolean expression and simplify the expression using Boolean algebra. 1 1 0 1 1 |1 1 0 1 1 1 1 1 1 1 1 plc
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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. 0001101Q1/The binary number ( 1011011011011.1110111001101)= ( ) in octal number *Exercises : Convert the following binary numbers to Hexadecimal numbers: (b) 1100111010002 (a)11001010010101112 (c) 101010. 101012 (d) 1111110001.011010012 0110111012 (e) 1011001110. Answers:
- The binary string 11b10010111110 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.IH.W: Draw a logic eircuit of the following Boolean expression before and after simplification using karnough map and Boolean expression. Y-AB+ AB A B Y 1 1Assuming that the most significant bit is the signbit, find the decimal value of the followingsign-magnitude form 8-bit binary numbers:a. 11111000 b. 10011111 c. 01111001
- Add the following unsigned binary numbers. a. 10101 + 1010 b. 101011011 c. 1111+1111 d. 11100+ 1110 e. 11001+ 10011 f. 111011+1010014/ Find the binary equivalent of the given hexadecimal number (6D2.9A)16 a/11011010010.1001101 b/11010101010.01101100 c/01001001011.11001111 d/11001001001.110101011Computing the following two numbers using signed 2’s complement form with 8 bits : (convert the two operands to a binary format) +75 -52 ------ will generate a summation of: a. 00110011 b. 00010011 c. 00010111 d. 10010011
- Grey converters are often used in industrial circuits where the normal sequence of binary numbers may produce ambiguity during transition. This is elliminated with the Grey code, as only one bit changes, during a normal transition of sequential numbers. Show the logic required to convert a 10-bit binary number to Gray code and use that logic to convert the following to Gray code: a) 1010101010 b) 1111100000 c) 0000001110 d) 11111111111. 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 representationQ1 Count in Octal from 0 to 22. Q2 Convert (10010100011), to Hexadecimal. Q3 Express the decimal number (- 35) as an 8-bit number in 2's complement form.