Question

In: Computer Science

D0 05 B1 49 in decimal notation and would like to see how the problem is...

D0 05 B1 49 in decimal notation and would like to see how the problem is worked out.

Solutions

Expert Solution

if it's an ip address, follow these steps:
--------------------------------------------
a)
=> D0
=> Dx16^1+0x16^0
=> Dx16+0x1
=> 13x16+0x1
=> 208+0
=> 208
D0 in decimal is 208

b)
=> 05
=> 0x16^1+5x16^0
=> 0x16+5x1
=> 0x16+5x1
=> 0+5
=> 5
05 in decimal is 5

c)
=> B1
=> Bx16^1+1x16^0
=> Bx16+1x1
=> 11x16+1x1
=> 176+1
=> 177
B1 in decimal is 177

d)
=> 49
=> 4x16^1+9x16^0
=> 4x16+9x1
=> 4x16+9x1
=> 64+9
=> 73
49 in decimal is 73

Answer: 208.5.177.73

if it's two's decimal decimal use this:
----------------------------------------
first convert this hexadecimal to binary
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 D005B149 to binary
D => 1101
0 => 0000
0 => 0000
5 => 0101
B => 1011
1 => 0001
4 => 0100
9 => 1001
So, in binary D005B149 is 11010000000001011011000101001001

convert this binary to two's complement
since left most bit is 1, this number is negative number.
so, follow these steps below to convert this into a decimal value.
I. first flip all the bits. Flip all 0's to 1 and all 1's to 0.
   11010000000001011011000101001001 is flipped to 00101111111110100100111010110110
II. Add 1 to above result
00101111111110100100111010110110 + 1 = 00101111111110100100111010110111
III. Now convert this result to decimal value
Converting 101111111110100100111010110111 to decimal
101111111110100100111010110111
=> 1x2^29+0x2^28+1x2^27+1x2^26+1x2^25+1x2^24+1x2^23+1x2^22+1x2^21+1x2^20+1x2^19+0x2^18+1x2^17+0x2^16+0x2^15+1x2^14+0x2^13+0x2^12+1x2^11+1x2^10+1x2^9+0x2^8+1x2^7+0x2^6+1x2^5+1x2^4+0x2^3+1x2^2+1x2^1+1x2^0
=> 1x536870912+0x268435456+1x134217728+1x67108864+1x33554432+1x16777216+1x8388608+1x4194304+1x2097152+1x1048576+1x524288+0x262144+1x131072+0x65536+0x32768+1x16384+0x8192+0x4096+1x2048+1x1024+1x512+0x256+1x128+0x64+1x32+1x16+0x8+1x4+1x2+1x1
=> 536870912+0+134217728+67108864+33554432+16777216+8388608+4194304+2097152+1048576+524288+0+131072+0+0+16384+0+0+2048+1024+512+0+128+0+32+16+0+4+2+1
=> 804933303
Answer: -804933303

If it's a normal decimal representation use this:
--------------------------------------------------
D005B149
=> Dx16^7+0x16^6+0x16^5+5x16^4+Bx16^3+1x16^2+4x16^1+9x16^0
=> Dx268435456+0x16777216+0x1048576+5x65536+Bx4096+1x256+4x16+9x1
=> 13x268435456+0x16777216+0x1048576+5x65536+11x4096+1x256+4x16+9x1
=> 3489660928+0+0+327680+45056+256+64+9
=> 3490033993
Answer: 3490033993

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