## Archive for Exam 1999 FE (AM)

## Question 6

When performing addition and subtraction operations in a computer, it is important to be careful of overflow. Which of the operations described in the following table have the potential for generating an overflow condition?

A. a, d, f, g

B. b, c, e, h

C. b, e

D. c, e, h

## Question 5

In a floating-point representation, which operation will ensure that the most significant digit of the absolute value of the mantissa is a non-zero number?

A. Round up

B. Truncate

C. Carry

D. Normalize

## Question 4

How is the decimal number –5.625 expressed as an 8-bit fixed-point binary number? Assume that the binary point is located between bits 4 and 5, and that two’s complement is used to represent negative numbers.

A. 01001100

B. 10100101

**C. 10100110**

D. 11010011

8 7 6 5 . 4 3 2 1

________↑________

Fixed point

## Question 2

What is the product of the hexadecimal number 0.FEDC multiplied by four?

A. 1.FDB8

B. 2.FB78

**C. 3.FB70**

D. F.EDC0

## Question 3

Q3. How many digits would be required in order to express the greatest possible 14-digit hexadecimal number in decimal notation? Assume log10(2) = 0.301

A. 15

B. 16

C. 17

D. 18

## Question 1

Which of the following decimal numbers would have an infinite number of bits when expressed in binary?

**A. 0.05**

B. 0.125

C. 0.375

D. 0.5