Suppose I have a 32 bit register containing 0000AC12 in hex and I do a logical...

Suppose I have a 32 bit register containing 0000AC12 in hex and I do a logical shift >>2. What hex digits will result from the binary shift? Be sure to show all 32 bits in hex

Expert Solution

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 0000AC12 to binary
0 => 0000
0 => 0000
0 => 0000
0 => 0000
A => 1010
C => 1100
1 => 0001
2 => 0010
So, in binary 0000AC12 is 00000000000000001010110000010010

logical shift >> 2, shifts this number to right by 2 bits
so, 00000000000000001010110000010010 becomes 00000000000000000010101100000100

Let's convert this back to hexadecimal
Converting 00000000000000000010101100000100 to hexadecimal
0000 => 0
0000 => 0
0000 => 0
0000 => 0
0010 => 2
1011 => B
0000 => 0
0100 => 4
So, in hexadecimal 00000000000000000010101100000100 is 00002B04
Answer: 00002B04

venereology answered 8 months ago

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