IT $342$ Home Work $1(100$ pts$)$

Complete the following Table $$ this assumes the number of places is represented in the exponent.

Provide answers for the values which have a $?$:

Term Value Noun Name $($if

any$)$ Decimal Equivalent

$2^0?$ Bit $10^0$

$2^1?$ None

$2^2?$ None

$2^3?$ None

$2^416$ Hex or Nibble $10^1$

$2^532$ None

$2^6?$ None

$2^7??$

$2^8256?$ None

$2^9?$ None

$2^101024$ Kilo $1000$

$2^20??10^6$

$2^301,073,741,824??$

$10^01$ Unit NA

$10^110$ NA

$10^3??$ NA

$10^6??$ NA

$10^91,000,000,000?$ NA

What is the significance of the exponent in each term? Answer this question by considering the role of the exponent both in the binary numbers Ex: $2^30$ and number of digits in the decimal number Ex: $10^3.$

So you have to explain what is the role of $^30$ in $2^30$ and what is the role of $^3$ in $10^3.$

How do the noun names relate between the decimal and binary equivalents? The same $$nouns$$ are used for the exponent numbers as well as the decimal values. As you can see the decimal values are smaller than the binary values. The binary values are used for storage, for example when we talk about $1$ Kilo Byte of storage, that$$s equivalent to $2^10$ which is equal to $1024.$ The actual number for a Kilo is $1000$ but since we are using a binary number $(2^10)$ to represent it and we get an actual number of $1024.$ If we talk about a Kilo bit of information for data transmission, we use exactly $1000$ bits or $1$ Kilo Bits. In both of these cases the $$noun$$ that we use to refer to it is called $$kilo$.$