Chapter 2 Review Questions

Base 8 Numbering System

octal

The BASE Numbers for the Binary Number System Are:

0 and 1

The BASE Numbers in the Decimal Number System are:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

In Binary, when subtracting in the following example, what must you "borrow" so that you can complete the subtraction operation? 110 - 011

2

To represent any BASE, you need two digits as follows:

A 0 in the rightmost digit, and a 1 in the second position.

What BASE Number system is the number 81?

Decimal and above

What BASE Number system is the number 11?

octal and above

A value less than 0, with a sign opposite to its positive counterpart

Negative Number

The Power-Of-2 Number Systems refers to the special relationship between Binary and _______

Octal and Hexadecimal?

In Positional Notation, the rightmost column represents the ONE's column in which BASE Number System?

all bases

Base 2 Number System

binary

Hexadecimal (base 16) number system contains the digits 0-15.

false; those digits after 9 are technically through 15, but are turned into letters A-F...

A unit of an abstract mathematical system subject to the laws of arithmetic

number

Numbers are written using positional notation, where the rightmost digit represents its value multiplied by the base to the zeroth power. The digit to the left of that one represents its value multiplied by the base to the first power (and so on).

true

Match the following items: Binary Digit (Bit) Byte Word Word Size of modern computers Abacus Bi-Quinary system

binary digit (bit) - smallest storage unit in a modern computer; byte - a group of 8 bits; word - a group of bytes; word size of modern computers - 4 bytes/8 bytes (32 bit / 64 bit); abacus - device that uses positional notation to represent a decimal number; bi-quinary system - number representation system that uses seven lights to represent the 1 and 0 decimal digits

A byte is made of up 6 binary digits.

false

A negative number is any value that can be expressed as a fraction.

false

An Integer is the number 0 or any number obtained by repeatedly adding 1 to this number.

false

Converting from base 10 to other bases involves dividing by the base into which you are converting until the quotient is 1.

false

Hexadecimal is a base 8 number system and Octal is a base 16 number system.

false

Modern computers are often 16-bit machines, 32-bit machines or 64-bit machines.

false

Starting from left to right, every grouping of four binary digits can be read as one hexadecimal digit.

false

The Base-2 number system has two digits (0-1) and is referred to as the Decimal number system.

false

The number of bits in a word is the same on all machines.

false

The Base 8 number system (Octal) includes the digits 1-8.

false; 0-7

The base of a number system specifies the number of digits used in the system. The digits always begin with 1 and continue through one less than the base.

false; begins with 0

Match the following items: Number Natural Number Integer Number Negative Number Rational Number Base of a Number System

number - a unit of an abstract math subject to the laws of math; natural number - number 0 and any number obtained by repeatedly adding 1 to it; integer number - a natural number, a negative of natural number, or zero; negative number - a value less than 0, with a sign opposite to its positive counterpart; rational number - an integer or the quotient of two integers (division by zero excluded); base of a number system - specifies the number of digits used in the system

Match the following items: Positional Notation Base of a number system Binary Decimal Hexadecimal Octal

positional notation - how numbers are written; base of a number system - specifies the number of digits used in the system; binary - base 2 number system; decimal - base 10 number system; hexadecimal - base 16 number system; octal - base 8 number system

A Number is a unit of an abstract mathematical system subject to the laws of arithmetic

true

Admiral Grace Murray Hopper was was active in the design, implementation, and use of the COBOL Language.

true

An Integer is a natural number, a negative of a natural number, or zero.

true

Bits are grouped together into Bytes. A Byte is 8 Bits.

true

Natural numbers are the ones we use in counting.

true