Octal and Hexadecimal Numbers
Octal numbers use 8 as a base and digits 0, 1, 2, 3, 4, 5, 6, and 7. Hexadecimal numbers use 16 as a base and digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F. Conversions between binary and octal numbers can be done easily three bits at a time. Conversions between binary and hexadecimal numbers can be accomplished quickly four bits at a time. There is no need to make any interim conversions to decimal numbers. For example, 76 hexadecimal equals the binary number 0111 0110, because 7 is 0111 and 6 is 0110. There is no need to first convert 76 hexadecimal to its decimal equivalent 118 and then back to binary.
Calculate the following:
a. the decimal equivalent of the octal number 3 4 2 7
b. the octal equivalent of the binary number 100100101
c. the hexadecimal equivalent of the binary number 00011010111101011001
d. the binary equivalent of the hexadecimal number A03
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