Web hosting domain - 1286 Number Systems Appendix B B.5 (True/False) The
1286 Number Systems Appendix B B.5 (True/False) The highest digit in any base is one more than the base. B.6 (True/False) The lowest digit in any base is one less than the base. B.7 The positional value of the rightmost digit of any number in either binary, octal, decimal, or hexadecimal is always . B.8 The positional value of the digit to the left of the rightmost digit of any number in binary, octal, decimal, or hexadecimal is always equal to . B.9 Fill in the missing values in this chart of positional values for the rightmost four positions in each of the indicated number systems: decimal 1000 100 10 1 hexadecimal … 256 … … binary … … … … octal 512 … 8 … B.10 Convert binary 110101011000 to octal and to hexadecimal. B.11 Convert hexadecimal FACE to binary. B.12 Convert octal 7316 to binary. B.13 Convert hexadecimal 4FEC to octal. (Hint: First convert 4FEC to binary then convert that binary number to octal.) B.14 Convert binary 1101110 to decimal. B.15 Convert octal 317 to decimal. B.16 Convert hexadecimal EFD4 to decimal. B.17 Convert decimal 177 to binary, to octal, and to hexadecimal. B.18 Show the binary representation of decimal 417. Then show the one s complement of 417, and the two s complement of 417. B.19 What is the result when the one s complement of a number is added to itself? SELF-REVIEW ANSWERS B.1 10, 2, 8, 16. B.2 Fewer. B.3 False. B.4 Hexadecimal. B.5 False. The highest digit in any base is one less than the base. B.6 False. The lowest digit in any base is zero. B.7 1 (the base raised to the zero power). B.8 The base of the number system. B.9 Fill in the missing values in this chart of positional values for the rightmost four positions in each of the indicated number systems: decimal 1000 100 10 1 hexadecimal 4096 256 16 1 binary 8 4 2 1 octal 512 64 8 1 B.10 Octal 6530; Hexadecimal D58.
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