Convert binary to the following 100110101.1011101101)2 a.) Octal ( )8 b.) Hexa ( )16 steps would be...

Convert binary to the following

100110101.1011101101)2

a.) Octal ( )8

b.) Hexa ( )16

steps would be helpful thanks

Solutions

Expert Solution

a)
Octal   Binary
    0           000
    1           001
    2           010
    3           011
    4           100
    5           101
    6           110
    7           111
Use this table to convert from binary to Octal
Converting 100110101.101110110100 to Octal
100 => 4
110 => 6
101 => 5
101 => 5
110 => 6
110 => 6
100 => 4
So, in Octal 100110101.101110110100 is 465.5664
Answer: 465.5664

b)
Adding 3 zeros on left hand side of this number to make it's length a multiple of 4
Hexadecimal     Binary
    0           0000
    1           0001
    2           0010
    3           0011
    4           0100
    5           0101
    6           0110
    7           0111
    8           1000
    9           1001
    A           1010
    B           1011
    C           1100
    D           1101
    E           1110
    F           1111
Use this table to convert from binary to hexadecimal
Converting 000100110101.101110110100 to hexadecimal
0001 => 1
0011 => 3
0101 => 5
1011 => B
1011 => B
0100 => 4
So, in hexadecimal 000100110101.101110110100 is 0x135.BB4
Answer: 135.BB4

venereology answered 10 months ago

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