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Example Input Input decimal: 22 Output Octal number: 26 Algorithm to convert decimal to octal Algorithm Decimal to Octal conversion begin: read(decimal); octal ← 0; place ← 1; rem ← 0; While (decimal > 0) do begin: rem ← decimal % 8; octal ← (rem * place) + octal; place ← place * 10; decimal…
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Example Input Input decimal number: 112 Output Binary number: 0111000 Algorithm to convert from decimal to binary Algorithm Decimal to Binary conversion begin: read (decimal); binary ← 0; place ← 1; rem ← 0; while (decimal > 0) do begin rem ← decimal % 2; binary ← (rem * place) + binary; place ← place…
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Example Input Input octal number: 175 Output Hexadecimal number: 7D Logic to convert octal to hexadecimal There is no direct conversion from octal to hexadecimal number system. You first need to convert the given octal to binary number system. Then binary number system is converted to hexadecimal number system. Below is the step by step…
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Example Input Input octal number: 172 Output Decimal number: 122 Logic to convert from octal to decimal
Example Input Input octal number: 172 Output Binary of 172: 01111010 Logic to convert octal to binary number system I have divided the octal to binary conversion in three steps. Extract last digit from octal number. Find binary equivalent of octal digit found above. Combine all converted binary together. Octal to Binary conversion table Decimal Octal…
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Example Input Enter binary number: 11000010 Output Hexadecimal: C2 Logic to convert binary to hexadecimal number system Binary to hexadecimal conversion algorithm is divided in two parts. Group all binary bits to 4 digits starting from right side. Write corresponding hexadecimal value of each grouped digit. Binary to hexadecimal conversion table Decimal Binary Hexadecimal 0…
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Example Input Input binary number: 00110111 Output Octal number: 67 Logic to convert Binary to Octal number system To make things simple and sound, I have divided the logic in two easy steps. Group all binary bits to 3 digits starting from right side. Write corresponding octal value for each grouped binary value. Binary to…
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Example Input Input number: 0011 Output Decimal: 3 Logic to convert binary to decimal number system Another approach using two’s complement
Example Input Input binary number: 01101110 Output Twos complement: 10010010 Twos complement of an <i>N</i>-bit number is defined as the complement with respect to 2<sup>N</sup>. It is the result of subtracting the number from 2<sup>N</sup>, which in binary is one followed by <i>N</i> zeroes. In simple words twos complement is defined as sum of ones complement of a binary number and…
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Example Input Input binary number: 01000011 Output Ones complement: 10111100 Ones complement of a binary number is defined as value obtained by inverting all binary bits. It is the result of swapping all 1s to 0s and all 0s to 1s.