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411 REFERENCE · Wikibooks

Practical Electronics/Binary

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Binary Number Binary numbers are numbers in base two which consists of two digit 0 and 1 . A series of 0's and 1's can be formed to represent info For example number from 0 to 9 can be expressed as binary numbers of four bit as shown <tr> 1<td>0001 <tr> 2<td>0010 <tr> 3<td>0011 <tr> 4<td>0100 <tr> 5<td>0101 <tr> 6<td>0110 <tr> 7<td>0111 <tr> 8<td>1000 9<td>1001 Binary Coding Since in binary number system there are only two digits 0 and 1 called a Bit . So 1-bit binary number refers to number of 1 digit either 0 or 1 . 2-bit binary number refers to number of 2 digit namely 00, 01, 10, 11 and there are 4 of such numbers which equivalent to 22. Hence, there are 2n binary numbers of n bits The process of using binary numbers to represent info is called Binary Coding For example with 1-bit binary number 0 and 1 can be used to represent number 0 and 1 in our system . With 2-bit binary number can be used to represent number 0 to 3 in our system as follow 00 represents 0 01 represents 1 10 represents 2 11 represents 3 With digit 0 and 1 we have three bit binary numbers of 000, 001, 010, 011, 100, 101, 110, 111 which equivalent to 0, 1, 2, 3, 4, 5, 6, 7