Hex to Bin to Dec Conversion

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Paradise Valley Community College *

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140AB

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Electrical Engineering

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Oct 30, 2023

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docx

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Hex to Bin to Dec Conversion Worksheet Hexadecimal, Binary, and Decimal The Hexadecimal (Hex) number system uses 16 digits 0 9 and A F . Only 4 binary bits are required to represent a hexadecimal digit. Hexadecimal to decimal conversion is most efficiently done by first converting hex to binary then converting binary to decimal. Hexadecimal to Binary Conversion Examples The hex number 7A is represented in binary as two combined 4 bit binary numbers: 7 = 0111 A = 1010 01111010 in binary The hex number FC is: F = 1111 C = 1100 11111100 in binary Page 1 of 3
Hexadecimal to Decimal Conversion Examples Conversion between hex and decimal is best done by converting hex to binary and then binary to decimal, for example: 89 in hex is 8 = 1000 9 = 1001 1000 1001 = 10001001 128 + 8 + 1 = 137 11 in hex is 1 = 0001 1 = 0001 0001 0001 = 00010001 16 + 1 = 17 Decimal to Hexadecimal Conversion Examples Conversion between decimal and hex is best done by converting decimal to binary and then binary to hex, for example: 204 in decimal is 11001100 in binary which is 1100 = C 1100 = C , CC in hex 57 in decimal is 00111001 in binary, which is 0011 = 3 1001 = 9 , 39 in hex Convert the following numbers between hexadecimal, 8 bit binary, and decimal. Hex Binary Decimal 42 01000010 66 9D 10011101 157 E9 11101001 233 DB 11011011 219 49 01001001 73 BF 10111111 191 D6 11010110 214 AE 10101110 174 59 01011001 89 2D 00101101 45 Page 2 of 3
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