Chapter 2: Binary Values and Number Systems
Know what the base value of the hexadecimal number system is.
16
Convert 777 from base 8 to base 10.
511
Know how many digits are there in the octal number system.
8: (0-7)
Know what a single binary digit is called.
Bit
Know what any number that can be expressed as a fraction is called.
Rational number
Know what unit of binary storage has a size that is processor-dependent.
Word
Know if representing a number in base 5 sometimes requires more digits that representing that same number in base 10
Yes
Know what the formal equation for a polynomial is.
dn*R^n-1+dn-1*R^n-2+...d2*R+d1
Convert 111110110 into octal.
766
Convert the decimal number 48 to binary.
11100100
Convert the decimal number 777 to octal.
1411
Know what is the lowest base in which the number 879 could be valid.
Decimal
Convert 777 from base 16 to base 10.
1911
Convert the decimal number 1066 to octal.
2052
Convert the decimal number 998 to hexadecimal.
3E6
Convert the decimal number 1066 to hexadecimal.
42A
Convert 11100111 into hexadecimal.
E7
Know what the value less than zero with a sign opposite to its positive counterpart is called
Negative number
Know if binary numbers are important in computing because numbers in every base can be converted into them.
No
The digits used in base 8 are 1 through 8.
No, they are 0-7
Know what the position of the right most digit of a number is.
ones
Know if two-thirds is a rational number.
Yes it is
Know if one way to scramble numbers (e.g. for hashing) is to interpret them in a different bases.
Yes this is one way to scramble numbers
Know if starting from the right, every group of four binary digits can be read as one hexadecimal number.
Yes, grouping in 4's from right to left can be read as one hexadecimal number.
Know the rules for converting base-10 to other bases involve.
divide the decimal number by the new base, make the remainder the next digit to the left of the answer, and replace the original decimal number with the quotient.