MATH 26507 Lecture Notes - Lecture 1: Hexadecimal, Binary Number
15 Jan 2016
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2467 can be represented using digits, binary consists of ten digits. Using the decimal base ten system, you can represent any number. There is no limit for the number of bases a number can have. When we represent a number, we know that the number 6439-is a thousands, hundreds, tens, and ones column. we start to think in tens of ^. ie 1 is 10^0. 10 is 10^1. hundreds is 10^2. thousands is. Write the following decimal numbers in expanded notation: 398=(3*10^2)+(9*10^1)+(8*10^0, 19640=(10^4*1)+(9*10^3)+(6*10^2)+(4*10^1)+(0*10^0, 500001=(10^5*5)+(0*10^4)+(0*10^3)+(0*10^2)+(0*10^1)+(0*10^0) For binary numbers, let"s say we have 1010011 there is a ones, twos, fours, eighths, sixteenths, and 32s column. Now, we are going in multiples of two rather than multiples of ten. Now, we are in base two rather than base ten. A shortcut is to get the highest power of 2 that 83 can go to is 2^6, which is 64.
