To convert the decimal number 30 to an 8-bit binary number, use the following representation methods: a) the inverse of its complement: b) Excess-M:?
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To convert the decimal number 30 to an 8-bit binary number, use the following representation methods: a) the inverse of its complement: b) Excess-M:?
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- How to build this circuit? (on Digital or Logisim) Binary-coded decimal is an alternative method of representing integers using binary. In it, each base-10 digit is represented by four bits, thus each nibble takes one of 10 values (0000 through 1001). Therefore, using BCD, 42 (decimal) is represented as 0100 0010 (binary) and 196 (decimal) is represented as 0001 1001 0110 (binary). Create a circuit in Logisim that accepts as input a pair of two-digit integers represented as BCD and outputs their sum in BCD. Any and all Digital components are fair game. You can assume that all inputs will be valid BCD-encoded numbers.20. Suppose we have just found yet another representation for floating point numbers. Using this representation, a li2-bit floating point number has 1 bit for the sign of the number, 4 bits for the exponent and 7 bits for the mantissa, which is normalized as in the Simple Model so that the first digit to the right of the radix points must be a 1. Numbers in the exponent are in signed 2's complement representation. No bias is used and there are no implied bits. Show the representation for the smallest positive number this machine can represent using the following format (simply fill in the squares provided). What decimal number does this equate to? : SIGN EXPONENT MANTISSADesign a combinational circuit with the four inputs A,B.C, and D, and three outputs X, Y, and Z. When the binary input is odd number, the binary output is one lesser than the input. When the binary input is even number the binary output is one greate than the input. Implement the function using multiplexers with minimal input and select line.
- a) Convert the decimal number - 239 into a signed binary number using (1) sign-magnitude method (2) 1's complement method (3) 2's complement method b) If the above decimal number is positive , that is + 239, then convert it to a signed binary number using 1 's complement method c) Do the following binary subtraction: 101111111.01111- 001011010.10110 d)Explain Types of RAM?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.Question 4 a) The IEEE Standard 754 representation of a floating point number is given as: 01101110110011010100000000000000. Determine the binary value represented by this number. b) Convert each of the following hexadecimal values to binary. i) AB1916 ii) 2DEF16 iii) 8A4516 iv) 9B5A16 c) If a computer's system clock is 2.4 GHz, calculate the period of the system clock. d) If an 8-bit binary number is used to represent an analog value in the range from 200 ounces to 700 ounces, what is the resolution of the system?
- Design the interfacing circuit shown below and write a program to display single digit (between 0 and 9) prime numbers followed by even numbers, the next odd numbers and repeats in 7-segment displays and its equivalent 8-bit binary value in LEDS. a) When displaying Prime numbers, the first 7-segment display must show "P" and the second 7-segment display must show prime numbers one by one b) When displaying Even numbers, the first 7-segment display must show "E" and the second 7-segment display must show even numbers one by one c) When displaying Odd numbers, the first 7-segment display must show "O" and the second 7-segment display must show even numbers one by one1. Gray code to Binary converter: Gray code is one of the codes used in digital systems. It has the advantage over binary numbers that only one bit in the code word changes when going from one number to the next. (See Table 1). Design a combinational circuit with 4 inputs and 4 outputs that converts a four- bit gray code number into an equivalent four-bit Binary number. Use Karnaugh map technique for simplification. Use LogicWorks for pre-lab demonstrations. Select the library "7400dev.clf* in the Parts Palette and then select the XOR chip 74-86. This would give you a set of 4 XOR's as shown in Fig. 1, just like the hardware chip 74-86. You could use as many as needed from these XOR gates in your design. Get back to ALL LIBRARIES and select switches for the inputs and Binary Probes as indicators of the outputs. Verify your design in the pre-Lab. During the Lab construct the circuit and verify its operations.a) Convert the decimal number - 238 into a signed binary number using (1) sign-magnitude method. (2) 1's complement method. (3) 2's complement method. b) Convert + 238 to a signed binary number using 2 's complement method.
- Design 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 X Y 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'CPerform floating point binary addition to the following: A: 1 10000011 10110111010000000000000 B: 0 10000000 10010011000100101000000 The result of A+B must be in be in 32-bit floating point. You can also check the answer in decimal.DIGITAL LOGIC DESIGN Are the following addition results Overflow or underflow and why?