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First lets prove that 75 8 & 111101 2 are really equal to 61 10 .
111101 2 = 1x2 0 + 0x2 1 + 1x2 2 + 1x2 3 + 1x2 4 + 1x2 5
Notice that if we take the base 8 number of 75 and convert each
digit to base 2, we have the same number as when we converted the base 10
number to base 2. i.e.
75 8 = 5x8 0 + 7x8 1
= 5x1 + 7x8
= 5 + 56
= 61 10
= 1x1
+ 0x2
+ 1x4
= 1
+ 0
+ 4
= 61 10
Convert 7 to base 2
3
2
7
R=1
1
2
3
R=1
0
2
1
R=1
Convert 5 to base 2
2
2
5
R=1
1
2
2
R=0
0
2
1
R=1
+ 1x8
+ 1x16 + 1x32
+ 8
+ 16
+ 32
111 2
101 2
MPU-22
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