【文章內(nèi)容簡介】 ogy means either a 0 or a 1 ?A binary number consisting of n bits is called an nbit number 169。 Bharati Vidyapeeth’s Institute of Computer Applications and Management, New Delhi63 by Anurag Sharma U1.. ?? Number System Octal Number System Characteristics ?A positional number system ?Has total 8 symbols or digits (0, 1, 2, 3, 4, 5, 6, 7). Hence, its base = 8 ?The maximum value of a single digit is 7 (one less than the value of the base ?Each position of a digit represents a specific power of the base (8) 169。 Bharati Vidyapeeth’s Institute of Computer Applications and Management, New Delhi63 by Anurag Sharma U1.. ?? Number System Octal Number System Characteristics ?A positional number system ?Has total 8 symbols or digits (0, 1, 2, 3, 4, 5, 6, 7). Hence, its base = 8 ?The maximum value of a single digit is 7 (one less than the value of the base ?Each position of a digit represents a specific power of the base (8) 169。 Bharati Vidyapeeth’s Institute of Computer Applications and Management, New Delhi63 by Anurag Sharma U1.. ?? Number System Octal Number System 169。 Bharati Vidyapeeth’s Institute of Computer Applications and Management, New Delhi63 by Anurag Sharma U1.. ?? Number System Hexadecimal Number System Characteristics ?A positional number system ?Has total 16 symbols or digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F). Hence its base = 16 ?The symbols A, B, C, D, E and F represent the decimal values 10, 11, 12, 13, 14 and 15 respectively ?The maximum value of a single digit is 15 (one less than the value of the base) 169。 Bharati Vidyapeeth’s Institute of Computer Applications and Management, New Delhi63 by Anurag Sharma U1.. ?? Number System Hexadecimal Number System ?Each position of a digit represents a specific power of the base (16) ?Since there are only 16 digits, 4 bits (24 = 16) are sufficient to represent any hexadecimal number in binary 169。 Bharati Vidyapeeth’s Institute of Computer Applications and Management, New Delhi63 by Anurag Sharma U1.. ?? Number System Hexadecimal Number System 169。 Bharati Vidyapeeth’s Institute of Computer Applications and Management, New Delhi63 by Anurag Sharma U1.. ?? Number System Converting a Number of Another Base to a Decimal Number Method Step 1: Determine the column (positional) value of each digit Step 2: Multiply the obtained column values by the digits in the corresponding columns Step 3: Calculate the sum of these products 169。 Bharati Vidyapeeth’s Institute of Computer Applications and Management, New Delhi63 by Anurag Sharma U1.. ?? Number System Converting a Number of Another Base to a Decimal Number Method Step 1: Determine the column (positional) value of each digit Step 2: Multiply the obtained column values by the digits in the corresponding columns Step 3: Calculate the sum of these products 169。 Bharati Vidyapeeth’s Institute of Computer Applications and Management, New Delhi63 by Anurag Sharma U1.. ?? Number System Converting a Number of Another Base to a Decimal Number 169。 Bharati Vidyapeeth’s Institute of Computer Applications and Management, New Delhi63 by Anurag Sharma U1.. ?? Number System Converting a Decimal Number to a Number of Another Base DivisionRemainder Method Step 1: Divide the decimal number to be converted by the value of the new base Step 2: Record the remainder from Step 1 as the rightmost digit (least significant digit) of the new base number Step 3: Divide the quotient of the previous divide by the new base Step 4: Record the remainder from Step 3 as the next digit (to the left) of the new base number 169。 Bharati Vidyapeeth’s Institute of Computer Applications and Management, New Delhi63 by Anurag Sharma U1.. ?? Number System Converting a Decimal Number to a Number of Another Base DivisionRemainder Method Repeat Steps 3 and 4, recording remainders from right to left, until the quotient bees zero in Step 3 Note that the last remainder thus obtained will be the most significant digit (MSD) of the new base number 169。 Bharati Vidyapeeth’s Institute of Computer Applications and Management, New Delhi63 by Anurag Sharma U1.. ?? Number System Converting a Decimal Number to a Number of Another Base 169。 Bharati Vidyapeeth’s Institute of Computer Applications and Management, New Delhi63 by Anurag Sharma U1.. ?? Number System Converting a Number of Some Base to a Number of Another Base Method Step 1: Convert the original number to a decimal number (base 10) Step 2: Convert the decimal number so obtained to the new base number 169。 Bharati Vidyapeeth’s Institute of Computer Applications and Management, New Delhi63 by Anurag Sharma U1.. ?? Number System Converting a Number of Some Base to a Number of Another Base 169。 Bharati Vidyapeeth’s Institute of Computer Applications and Management, New Delhi63 by Anurag Sharma U1.. ?? Number System Other Method for Converting a Binary Number to its Equivalent Octal Number 169。 Bharati Vidyapeeth’s Institute of Computer Applications and Management, New Delhi63 by Anurag Sharma U1.. ?? Number System Other Method for Converting a Binary Number to its Equivalent Hexadecimal Number Method Step 1: Divide the binary digits into groups of four starting from the right Step 2: Combine each group of four binary digits to one hexadecimal digit 169。 Bharati Vidyapeeth’s Institute of Computer Applications and Management, New Delhi63 by Anurag Sharma U1.. ?? Number System Other Method for Converting a Binary Number to its Equivalent Hexadecimal Number 169。 Bharati Vidyapeeth’s Institute of Computer Applications and Management, New Delhi63 by Anurag Sharma U1.. ?? Number System Other Method for Converting a Hexadecimal Number to its