We first get the positive binary for 11 then negate it later. +11
11/2=5R1
5/2=2R1
2/2=1R0
2/1=0R1
Reading from bottom to top we have the binary value as: 1011 in base 2.
To obtain the 8-bits equivalent is by adding four zeros. i.e
+11=00001011 (in base 8).
-11=11110100 (inverting all zeros to ones and vice versa) Ones Complement
Add 1 to 11110100 (Twos complement)
11110100
+ 1
___________
11110101 base 8
-11=11110101.
Hexadecimal equivalent
1×2³+1×2²+1×2¹+1×2⁰
=8+4+2+1=15=F
0×2³+1×2²+0×2¹+1×2⁰
4+1=5
Therefore the hexadecimal equivalent of
-11=F5.