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Octal to Hex

You will probably not run into many occasions that call for the conversion of octal numbers to hex. Should the need arise, conversion is a two-step procedure. Convert the octal number to binary; then convert the binary number to hex. The steps to convert 53.78 to hex are shown below:

Regroup the binary digits into groups of four and add zeros where needed to complete groups; then convert the binary to hex.

Solution: 53.78 equals 2B.E16

Convert the following numbers to hex:

Q.83 748. answer.gif (214 bytes)
Q.84 5128. answer.gif (214 bytes)
Q.85 0.038. answer.gif (214 bytes)
Q.86 14.428. answer.gif (214 bytes)

HEX CONVERSION

The procedures for converting hex numbers to binary and octal are the reverse of the binary and octal conversions to hex.

Hex to Binary

To convert a hex number to binary, set up the number in the block format you used in earlier conversions. Below each hex digit, write the four-digit binary equivalent. Observe the following example:

Convert ABC16 to binary:

Solution: ABC16 = 1010101111002

Hex to Octal

Just like the conversion of octal to hex, conversion of hex to octal is a two-step procedure. First, convert the hex number to binary; and second, convert the binary number to octal. Let's use the same example we used above in the hex to binary conversion and convert it to octal:

Convert these base 16 numbers to their equivalent base 2 and base 8 numbers:

Q.87 2316. answer.gif (214 bytes)
Q.88 1B16. answer.gif (214 bytes)
Q.89 0.E416. answer.gif (214 bytes)
Q.90 45.A16.answer.gif (214 bytes)







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