5. Convert the following 32-bit IEEE single precision floating point number tobase-10 representation. (10111111110100000000000000000000)2 = ?
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- 1. Convert the following 32-bit IEEE single precision floating point number to base-10 representation. (01000011000011001000000000000000)2 = ?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?Add two binary floating-point numbers (1.101101x23)2 and (1.010101x22)2. What is the decimal floating-point number of the result?
- 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 MANTISSAQ3) A - Convert the Excess-3 to binary number : ( 110001011100.10001010)ex-3 B- convert each Gray code to binary: 1-( 011010001001)G 2-(59)D(a) Perform binary addition of the following numbers: 110111101.10011 + 100010101.11110 (b) Represent the decimal number 66245 in BCD format and calculate how many nibbles are there in this BCD number. (c) Convert the following (i) (01100.01000)2 to Decimal (ii) (015.63)10 to Octal
- What are the decimal values of the following 8-bit binary fractions? (a) 0.01100001(b) 0.10001000.1. Represent the decimal values 11 and -10 as 8-bit signed integers. Add the two binary representations. What is the binary result? What decimal value does that 2's complement result represent? 2. Perform the following arithmetic operation involving 8-bit binary integers. Give the result and CF and OF flag values for ARM microprocessors. Explain 01011011B + 01011011B 10011011B 01011001B1.2 Adding two binary floating numbers 1.1000rwo x 2 and -1.0100wo X 22. Assume that we keep 4 bits precision (three bits after decimal point). Also, show the IEEE 754 binary representation of the answer/result (product) in single precision
- 2. Convert the following binary numbers to the decimal. (10110011)2: (100011101)2; and (111000) (130)An eight bit number, 01011101, is: 1)added to 4 2) subtracted from -10 3) ANDED with 15 a) What is the outcome of these operations in binary? b) What is this number in decimal? c) What is the original number in decimal?Convert the binary NUMBER 10100110110.0111 to BCD number showing the steps