Question

what's the 2's compliment of the hexdecimal number ACBD ?

Select one:

a.

-21315

b.

21315

c.

-21335

d.

21335

Answer #1

a) -21315Explanation: ------------- 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 ACBD to binary A => 1010 C => 1100 B => 1011 D => 1101 So, in binary ACBD is 1010110010111101 Now converting ACBD to decimal 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. 1010110010111101 is flipped to 0101001101000010 II. Add 1 to above result 0101001101000010 + 1 = 0101001101000011 III. Now convert this result to decimal value Converting 101001101000011 to decimal 101001101000011 => 1x2^14+0x2^13+1x2^12+0x2^11+0x2^10+1x2^9+1x2^8+0x2^7+1x2^6+0x2^5+0x2^4+0x2^3+0x2^2+1x2^1+1x2^0 => 1x16384+0x8192+1x4096+0x2048+0x1024+1x512+1x256+0x128+1x64+0x32+0x16+0x8+0x4+1x2+1x1 => 16384+0+4096+0+0+512+256+0+64+0+0+0+0+2+1 => 21315 Answer: -21315

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