If any of the questions can be answered please do! Anything is better than nothi
ID: 3683082 • Letter: I
Question
If any of the questions can be answered please do! Anything is better than nothing!
Consider the following value, using the IEEE 754 single precision floating-point format. What is the equivalent value as a decimal number? 0100 0011 0101 0100 0000 0000 0000 0000 2. Represent the following numbers in the IEEE 754 32-bit floating-point notation (written as binary). (i) -125.015625 (ii) 263.3; 3. Order the following (single precision) floating point numbers in increasing value from 1 to 4, where 1 is the smallest number (i.e., the most negative) and 4 is the largest number (i.e., the most positive); ------ 0 01010011 11010011101010010101001 ------ 0 01010011 00101100010101101010110 ------ 1 11010011 00101100010101101010110 ------ 0 11010011 11010011101010010101001 4. Give value of the smallest number which satisfies the two requirements: (a) The number is strictly larger than 1 (b) The number can be represented exactly in IEEE 754 format 5. In IEEE single precision floating point, which is greater: (a) The number of represent able numbers between 1 and 2 inclusive. (b) The number of represent able numbers between 2 and 3 inclusive. (c) They are the same. Explain your answer. 6. What is the smallest positive number you can represent in IEEE 754 double precision format. Represent this number in scientific notation. 7. What does the following bit pattern represent assuming that it is one of the following. 00111100 00001001 01000000 00000000 (a) A single precision IEEE 754 floating point number (show actual value in scientific notation) (b) A MIPS instruction (show in symbolic code)Explanation / Answer
1. 212.0
2. a. 11000010111110100000100000000000
b.01000011100000111010011001100110
3
. 4. 1.0000001
5. they are the same.
6. 1.4E-45
7. 0.008377075
0110100111101001110101001010100100101001100101100010101101010110
00101001111010011101010010101001
11101001100101100010101101010110