Motorola M6800 User Manual download pdf (Page 22)

MPU-22

First lets prove that 75

& 111101

are really equal to 61

= 5x8

+ 7x8

= 5x1 + 7x8

= 5 + 56

= 61

111101

= 1x2

+ 0x2

+ 1x2

= 1x1 + 0x2 + 1x4 + 1x8 + 1x16 + 1x32

= 1 + 0 + 4 + 8 + 16 + 32

= 61

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.

Convert 7 to base 2

7 R=1

3 R=1

1 R=1 111

Convert 5 to base 2

5 R=1

2 R=0

1 R=1 101

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Motorola M6800 User Manual Page 22