CSCI chapter 2
In base 16, the digit D is used to represent the decimal value___
13
In base 16, the digit F is used to represent the decimal value___
15
The base value of the hexadecimal number system is___
16
integer
natural numbers and negative numbers
The rightmost digit of a number is the ___ position in any base
ones
base number system
the base of a number begins with zero and goes through one less than the base ex. base 2 numbers are 0,1 base 8 numbers are 0,1,2,3,4,5,6,7
What can the base of a number system determine?
the number of digits and the value of the digits
the highest digit in base 2 is___
1
In bases higher than 10, the letter A is used to represent the decimal value ____ using only one symbol
10
the binary number 1001 in the octal (base 8) system is____
11
The decimal number 12 in binary is ___
1100
The base value of the binary number system is ____
2
Imaginery number
2+3i
names for base 2, 8, 10, 16 numbers
2-binary 8-octal 10-decimal 16-hexadecimal
convert base 2 number to base 8 number to base 16 number
3*2^0+2*2^1+1*2^2 3*8^0+2*8^1+1*8^3 3*16^0+2*16^1+1*16^3
The decimal number 65 in hexadecimal (base 16) is___
41
The highest digit in base 8 is____
7
The base value of the octal number system is___
8
word length
The number of digits in a binary word
byte
a group of 8 bits (binary digits)
The ___ of a number system determines how many digits are used in the system and the value of the digit positions
base
A single binary digit is called a(n) ____
bit
A group of 8 bits is called a(n) ______
byte
natural number
counting numbers (positive only and no decimals)
____is the lowest number system in which 901 could be a valid number
decimal
base change formula
dn*R^n-1+dn-1*R^n-2+....d2*R^1+d1*R^0
Binary numbers are important in computing because numbers in every base can be converted into them
false
Binary numbers can be converted to octal but not to hexadecimal
false
Grace Murray Hopper is credited to being the first programmer
false
The base number system determines the number of digit positions that can be used for any number in the system
false
The base of a hexadecimal number system is 15
false
The digits used in base 8 are 1 through 8
false
The number of bits in a word is the same on all machines
false
A(n)______ is a natural number, a negative of a natural number, or zero.
integer
rational number
integer or quotient of 2 numbers can be represented as a fraction
____is the lowest number system in which 372 could be a valid number
octal
The value of a number in any base can be expressed as a(n)________ in which each term is made up of a digits multiplied by the base raised to a power.
polynomial (function)
irrational number
square roots that are whole roots, pie, e
A byte is made up of 8 binary digits
true
A natural number is the number 0 and any number obtained by adding 1 to a natural number
true
An abacus uses positional notation to represent values
true
Grace Murray Hopper participated in the design of the COBOL programming language
true
Representing a number in base 5 sometimes requires more digits than representing that same number in base 10
true
Starting from the right, every group of four binary digits can be read as one hexadecimal digit (true or false)
true
The base number system determines the number of digits used in the system
true
The base of the binary number system is 2 (true or false)
true
The category of numbers called integers includes negative numbers (true or false)
true
The number 10 exits in every number system (true or false)
true
There is one set of underlying principles governing all numbers systems (true or false)
true
When converting binary number to octal number, you will mark the binary digits in groups of 3 (true or false)
true
Bytes can be grouped into a(n)____, the size of which a machine dependent
word