When you solve a problem, show all the steps, similar to the examples in the cla

Question

When you solve a problem, show all the steps, similar to the examples in the class. Just the answer will not give you credit for a problem. Lay out your answers in a logical manner. The assignment must be handed-in on February 4, 2017 before the lecture. No late assignments will be accepted. You do NOT have to show detailed calculations for converting between decimal, hexadecimal and binary representations on this assignment. You MUST use groups 4 bits when writing your answer. 1. [30 marks] Convert each of the following numbers to normalized 10-bit floating point (using the definition distributed in class. In each case, state explicitly whether a loss of precision has occurred, and how you know. Then convert your binary answer back to decimal and compare with the original decimal value. (a) -11710 (b) 0.17578125 (c)-31.37510

Explanation / Answer

Here is the answer.I gave the procedure for conversion at the end .Any further doubts,please feel free to contact us.We will love to help you

1) -11710

Answer:

Binary (-1)1 * 101101 - 111 * 1.11010

Table Representation :

SIGN BIT = 1

EXPONENT= 1101

MANTISSA= 11010

2) 0.17578125

Ans)

binary : (-1)0 * 100100 - 111 * 1.01101

TABLE REPRESENTATION:

SIGN=0

EXPONENT:0100

MANTISSA:01101

3)-31.375

Ans:

binary (-1)1 * 101011 - 111 * 1.11110

TABLE REPRESENTAION:

SIGN: 1

EXPONENT:1011

MANTISSA:1110

The rules for converting a decimal number into floating point are as follows:

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