Number Systems Notes/Practice Number Systems Table *** A nibble represents 4 bits Decimal(Base 10) Binary(Base 2) Octal(Base 8) Hex(Base 16) Nibble shown below 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0000 0001 0010 0011 0100 0101 0110 0111 1000 1001 1010 1011 1100 1101 1110 1111 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 Vool UNO 0 1 2 3 4 5 6 7 8 9 B D E F Bits and Bytes A byte has 8 bits Base 2 12 Decimal 128 Bit Set 0 2 2 26 64 1 TIST 2 16 0 32 1 4 8 0 ON 2 1 1 1 The Decimal(Base 10) Value stored above is 64 + 32 + 2 + 1 =99 Convert from Binary to Decimal (Show Your Work) 1) 0101 0110 2) 0010 1100 IT 301 Binary and Data Representation Convert from Hex to Decimal (Show Your Work) 3) ZA 4)C3 Convert from Octal to Decimal (Show Your Work) 5) 21 6) 23 Shortcuts to convert from Binary to Octal (Divide bits into groups of 3 bits) Binary - Octal 1 10 11 11 10 11 11 10 Convert from Binary to Octal (Show Your Work) 7) 001 010 110 8)000 101 100 IT 301 Binary and Data Representation Shortcuts to convert from Binary to Hex (Divide bits into groups of 4 bits) Binary - Hex 0 0 1 1 Convert from Binary to Hex (Show Your Work) 9) 0010 1011 10) 0001 0110