What is the minimum and maximum floating-point number stored in a 64-bit register assuming 1 bit as a sign-bit, 16 bits for exponent and rest of the bits for significant ?
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What is the minimum and maximum floating-point number stored in a 64-bit register assuming 1 bit as a sign-bit, 16 bits for exponent and rest of the bits for significant ?
If we use the IEEE standard floating-point single-precision representation (1 sign bit, 8 bit exponent bits using excess-127 representation, 23 significand bits with implied bit), then which of the following hexadecimal number is equal to the decimal value 3.875? C0780000 40007800 Oo 40780000 40A80010 The binary string 01001001110000 is a floating-point number expressed using a simplified 14-bit floating-point representation format (1 sign bit, 5 exponent bits using excess-15 representation, and 8 significand bits with no implied bit). What is its...
Assume the following representation for a floating point number 1 sign bit, 4 bits exponent, 5 bits for the significand, and a bias of 7 for the exponent (there is no implied 1 as in IEEE). a) What is the largest number (in binary) that can be stored? Estimate it in decimal. b) What is the smallest positive number( closest to 0 ) that can be stored in binary? Estimate it in decimal.c) Describe the steps for adding two floating point numbers. d)...
Consider the following floating point format: 1 sign bit, 4 mantissa bits, and 3 exponent bits in excess 4 format. Add 1 1111 110 0 0110 010 Multiply 1 1011 111 0 0100 010
Assume a 10-bit floating point representation format where the Exponent Field has 4 bits and the Fraction Field has 6 bits and the sign bit field uses 1 bit S Exponent Field: 4 bits Fraction Fleld: 5 bits a) What is the representation of -8.80158 × 10-2 in this Format - assume bias =2M-1-1=24-1-1=7 (where N= number of exponent field bits) for normalized representation 1 -bias =-6 : for denormalized representationb) What is the range of representation for...
Please show work, thanks. Consider the following two 16-bit floating-point representations 1. Format A. There is one sign bit There are k 6 exponent bits. The exponent bias is 31 (011111) There are n 9 fraction/mantissa bits 2. Format B There is one sign bit There are k 5 exponent bits. The exponent bias is 15 (01111) There are n 10 fraction/mantissa bits Problem 1 (81 points total /3 points per blank) Below, you are given some bit patterns in...
What's the decimal value of the following 8 bit floating point number? Suppose k=4 exponent bits, n=3 fraction bits, and the bias is 7 00111001
Consider a 9-bit floating-point representation based on the IEEE floating-point format, with one sign bit, four exponent bits (k = 4), and four fraction bits (n = 4). The exponent bias is 24-1-1-7. The table that follows enumerates some of the values for this 9-bit floating-point representation. Fill in the blank table entries using the following directions: e : The value represented by considering the exponent field to be an unsigned integer (as a decimal value) E: The value of...
Find the precision of IEEE 754 FP code on 64-bit machines? • Double Precision Floating Point Numbers (64 bits) – 1-bit sign + 11-bit exponent + 52-bit fraction S Exponent11 Fraction52 (continued)
Floating Point Representation Consider a computer that stores information using 10 bits words. The first bit is for the sign of the number, the next 5 for the sign and magnitude of the exponent and the last 4 for the magnitude of the mantissa. The mantissa is normalized as described in class and in the textbook. a. Convert 1 00010 1001 to a base-10 system b. What is the highest number that can be stored on this computer? c. What...
A certain microcomputer uses a binary floating-point format with 4 bits for the exponent contains 4 bits. The arithmetic e and 1 bit for the sign sigma. The normalized mantissa uses rounding. (a) Find the machine epsilon, i.e., the distance between 1 and the next larger floating- point number. (b) Let x = (7.125)_10. Find its floating-point approximation A(x). Give A(x) in decimal. (c) What is the relative error in A(x)