Convert hexadecimal BEEF to base 2 and 8 using grouping (No mathematics). Please show all work.

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Expert Solution

1)  base-2
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 hexadecimal to binary
Converting BEEF to binary
B => 1011
E => 1110
E => 1110
F => 1111
So, in binary BEEF is 1011111011101111
Answer: 1011111011101111

2)  base-8
Adding 2 zeros on left hand side of this number to make it's length a multiple of 3
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 001011111011101111 to Octal
001 => 1
011 => 3
111 => 7
011 => 3
101 => 5
111 => 7
So, in Octal 001011111011101111 is 137357
Answer: 137357

venereology answered 3 weeks ago

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