Lab#1.pdf - Data Representation IT 210 Lab 1 Outline \u2022\u202f \u2022\u202f \u2022\u202f \u2022\u202f \u2022\u202f Number Systems Examples of Converting Different Bases to Decimal

Lab#1.pdf - Data Representation IT 210 Lab 1 Outline • ...

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Data Representation IT 210 Lab#: 1
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Outline Number Systems. Examples of Converting Different Bases to Decimal. Examples of Converting Different Bases From Decimal. Examples of Converting Between Octal and Binary. Examples of Converting Between Hexadecimal and Binary.
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Number Systems Decimal which we always use Ex. 131d or (131) 10 Binary which is used by computers Ex. 1001001b or (1001001) 2 Octal each digit is equivalent to 3 bits.. Ex. 71203o or (71203) 8 Hexadecimal each digit is equivalent to 4 bits.. Ex. FF078ABCh or (FF078ABC) 16
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Examples of Converting Different Bases to Decimal Binary to Decimal: ( 101100 ) 2 = 1*2 5 + 1*2 3 + 1*2 2 = 32 + 8 + 4 = 4410 Octal to Decimal: ( 6123 ) 8 = 6*8 3 + 1*8 2 + 2*8 1 + 3*8 0 = 3072 + 64 + 16 + 3 = 315510 Hexadecimal to Decimal: ( 3D ) 16 = 3*16 1 + 13*16 0 = 48 + 13 = 61
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Examples of Converting Different Bases from Decimal Binary from Decimal: 85d = 1010101b 85/2 = 42 remainder 1 LSB 42/2 = 21 remainder 0 21/2 = 10 remainder 1 10/2 = 5 remainder 0 5/2 = 2 remainder 1 2/2 = 1 remainder 0 1/2 = 0 remainder 1 MSB
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Examples of Converting Different Bases from Decimal Octal from Decimal: 85d= 125o
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  • Fall '19
  • Binary numeral system, Decimal, Numeral system, 4 bits, 3 bits

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