Represent the decimal number 30 in 8-bit binary number using the following representation methods: a) one's complement: b) Excess-M:
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- A(n) __________ is an integer stored in double the normal number of bit positions.2. Write the normalized floating-point representation of (+ 33.025)10. Assume 16 bits to represent mantissa and 8 bits to represent exponents. Compare 84-2-1and 8421 code. Draw a figure for five bits odd parity generator and parity checker.I - For the IEEE 754 single-precision floating point, write the hexadecimal representation for the following decimal value: 0.5
- 1) 0xBEAD (in hex) can be written in decimal (base 10) as: 2) 23.2578125 (decimal) is expressed in binary (base 2) as: Do no use any spaces within your representation. Use 8 bits to represent the integer part, and an additional 8 bits to represent the fractional parts (i.e., 8 bits before the radix point and after the radix point).1) Find the equivalent decimal value of the following floating-point representation using IEEE 754 standard single-precision (32-bit floating-point number with bias = 127) 1 0111 1111 1110 0000 0000 0000 0000 000 (The quiz is expecting a decimal numeric entry. It will automatically suppress leading and trailing zeros. It will display your answer with commas every third digit.) 2) Find an IEEE 754 floating-point representation of -74.2 decimal number. Enter 32 bits without a space. (The quiz is expecting a fill in the blank text string in the entry box and grades on an exact match with the expected result. The answer should be formatted as a 32-bit IEEE 745 binary number representation)Write down the bit pattern in the fraction of value 1/3 assuming a floating point format that uses binary numbers in the fraction. Assume there are 24 bits, and you do not need to normalize. Is this representation exact?
- 6. Convert the following numbers from unsigned binary notation to decimal notation, and from 6-bit 2's complement notation to decimal notation: i) 110011, ii) 001101, iii) 101101 7. Show how each of the following floating point values would be stored using IEEE-754 single precision (be sure to indicate the sign bit, the exponent, and the significand fields): a. 12.5 b. −1.5 c. 0.75 d. 26.625 8. The following is a representation of a decimal floating value using IEEE-754 single precision. Find out the value in decimal. 0 10000011 10101000000...01. Assume we are using the simple model for floating-point representation discussed in the class (the representation uses a 14-bit format, 5 bits for the exponent with an Excess-M, a significand of 8 bits, and a single sign bit for the number) Convert -123.075 to the floating-point binary representation. 2. a) What is "Approximation Error" in floating-point representation? b) Why is it happening? c) How can we minimize it? d) How can the character codes be a solution for this?1. Write down the mathematical notation for fixed point representationand floating representation and also explain each term. 2. Consider the following machine number in 64 bit and Precisely represent the above machine number in decimal digits. 0 10000000011 1011100100010000000000000000000000000000000000000000
- To convert the decimal number 30 to an 8-bit binary number, use the following representation methods: How would you describe something that is the reverse of what it is?Assume negative numbers are represented by their 2's complements. Whaqt is the 8 bit representation of the following decimal integers: a. -7 b.-25 c. +39 d.-100F - Assuming a three-bit exponent field and a four-bit significand, write the bit pattern for the following decimal values: (i) –12.5 (ii) 13.0