Give the quantity represented by the following IEEE 754 single precision floating point value: 10000 0000 0100 0000 0000 0000 0000 00 x 2 Do this by dragging two items from the below list into the correct spaces in the above expression. -128 -126 -1.0 -1.01 -1.1 -129 -127

Evaluate each of the following postfix/prefix expressions. Show your step-by-step solution to solving the expression. e.g. +2/*836 Solution: + 2 / * 8 3 6 + 2 / 24 6 + 2 4 6

Suppose that we use the floating-point format with 12 decimal digits, SEEEMMMMMMMM, to rep- resent a real number, where S is the digit to represent the sign of the mantissa (use 0 for pos- itive and 5 for negative), EEE are the 3 digits to represent the exponent in excess-500 format, MMMMMMMM are the 8 digits to represent the magnitude of the mantissa, and the decimal point of the mantissa is right to the left of MMMMMMMM (i.e., SEEEMMMMMMMM representing the real number ±0.MMMMMMMM × 10EEE-500) What is the second largest positive number that can be represented in this for- mat? How much less is this number compared to the largest number? Can you represent a number located somewhere between the largest number and the second largest number?

1. Consider the floating point numbers with B = 2,p = 5, -6ses7.What is the normalization of decimal number 0.25? Remind: the normalization of a certain real number means the conversion of it to a floating-point form with do # 0 do = 1 %3D