4.5.4 Binary Number System

What is the range of values for an unsigned binary number with n bits?

• 0 to 2^n - 1

• -2^(n-1) to 2^(n-1) - 1

• 0 to 2^(n-1)

• -2^n to 2^n - 1

Which of the following operations can be performed with unsigned binary arithmetic?

• Addition and multiplication

• Subtraction and division

• Multiplication and division

• Addition and subtraction

What coding scheme is used to represent negative integers in signed binary?

• Two’s complement

• One’s complement

• Binary-coded decimal

• Gray code

How can numbers with a fractional part be represented in binary?

• Fixed point and floating point

• Integer and decimal point

• Exponential and logarithmic

• Rational and irrational

Why might fixed point and floating point representations of decimal numbers be inaccurate?

• Due to rounding errors

• Because of overflow errors

• Due to underflow errors

• Because of precision errors

What is the purpose of calculating the absolute error of numerical data in computer systems?

• To determine the exact value of data

• To measure the difference between the true value and the measured value

• To increase the speed of calculations

• To convert data into binary form

What is one advantage of using floating point forms over fixed point forms?

• Higher precision

• Simpler calculations

• Faster data entry

• Reduced memory usage

Why are floating point numbers normalized?

• To simplify arithmetic operations

• To ensure consistent representation

• To reduce storage space

• To increase processing speed

What is a circumstance in which overflow might occur in computer systems?

• When a number is too large to be represented

• When a number is too small to be represented

• When data is converted to binary

• When data is stored in memory

What is a binary number?

• A number system using base 10

• A number system using base 2

• A number system using base 8

• A number system using base 16