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- A(n) __________ is an integer stored in double the normal number of bit positions.The IEEE Standard 754 representation of a floating point numberis given as: 01101110110011010100000000000000. Determine thebinary value represented by this number. If a computer’s system clock is 2.4 GHz, calculate the period of thesystem clock. If an 8-bit binary number is used to represent an analog value inthe range from 200 ounces to 700 ounces, what is the resolution ofthe system?This problem covers floating-point IEEE format.(a) Assuming single precision IEEE 754 format, what is the binary pattern for decimal number 6.16?(b) Assuming single precision IEEE 754 format, what decimal number is represented by this word:0 01111110 01100000000000000000000
- In a particular computer numbers are stored in IEEE standard 754floating point format, with an 8-bit mantissa and a 4-bitexponent.(i) Show how 43.125 would be stored (ii) What number is stored as 1 11001010 1011?Consider the following floating point representation where each number has 2exponent bits and 5 fraction bits. The exponent bias is 1. Round each number tohave 3 fraction bits. Apply round-to-even and round-toward-zero modes.a. 1 10 11100b. 0 00 00101c. 1 01 10101i. Can you see a pattern for rounding floating point numbers when thenumber of exponent bits are intact?Given the following 32-bit number in IEEE754 floating-point number format,B = Ox4OBC0000 b) Determine the hexadecimal representation in IEEE754 double-precision floating-point number format of the following two cases,i. and, ii. Negative infinity Remark: need clearly show all bit fields in hexadecimal format and clear step
- If an unsigned 8-bit integer were to be extended to a 16-bit one, the first 8 most significant bits (MSB) would be filled with ones, creating a signed 16-bit representation. Pick a solution from these two options: Is it true or false that...?Given the following 32-bit number in IEEE754 floating-point number format, B = Ox4OBC0000 c) Consider the following subtraction, Z = B - 9.625 Convert the result Z to 32-bit IEEE754 floating number format. Express it in hexadecimal.This problem covers floating-point IEEE format.(a) Assuming single precision IEEE 754 format, what is the binary pattern for decimal number -6.16?(b) Assuming single precision IEEE 754 format, what decimal number is represented by this word:0 01111100 01100000000000000000000(Hint: remember to use the biased form of the exponent.)
- *All parts please* 2. (50 points) Binary Integer Arithmetic (a) (15 points) Given A = 1111 0011 1100 0011 1100 0000 0000 00002 and assuming A is a single precision IEEE-754 floating point number, what decimal value does A represent? Show A in normalized scientific notation: 1.X ∗ 2^Y. (b) (15 points) Convert 28.410 to IEEE-754 single-precision binary. (c) (20 points) Given X = 0100 0001 0110 1110 0000 0000 0000 00002 and Y = 0100 0001 1011 1100 0000 0000 0000 00002 in single precision IEEE-754 floating point numbers, perform the following operations. Show all your work and express the final answer in single precision IEEE 754-floating point representation. 1. X+Y 2. X*Y Hint: show each value in binary normalized scientific notation prior to performing the arithmetic. This should make following the algorithms easier.1) Using IEEE 754 representation for single precision floating point, give the 32-bit binary encoding for the numbers below.Show the sign, exponent, and mantissa (significand).a. -2.40625b. 11.2265625 2) Given the following binary number: 1101.0111, what will be its decimal numberequivalent?1)Using IEEE 754 representation for single precision floating point, give the 32-bit binary encoding for the numbers below.Show the sign, exponent, and mantissa (significand).a. -2.40625b. 11.2265625 2) Given the following binary number: 1101.0111, what will be its decimal numberequivalent?