Service manual

STP 11-25R13-SM-TG
Q - 10
(d) Add the decimal values. This is the decimal equivalent of the binary number.
(4) Using the procedure above, conversion of binary 10 (one, zero) to a decimal is illustrated in the
following:
Power of 2
Decimal Equivalent Binary Number
2
1
2 1 2 x 1 = 2
2
0
1 0 1 x 0 = 0
2
10
(5) Conversion of a binary 101 to a decimal number is illustrated in the same manner.
Power of 2
Decimal Equivalent Binary Number
2
2
4 1 4 x 1 = 4
2
1
2 0 2 x 0 = 0
2
0
1 1 1 x 1 = 1
5
10
(6) Conversion from binary to decimal is simply a process of finding the place value (decimal value)
of each binary bit and adding the decimal values.
(7) Another example using a larger binary number shows the binary to decimal conversion.
Power of 2
Decimal Number Binary Equivalent
2
6
64 1 64 x 1 = 64
2
5
32 0 32 x 0 = 0
2
4
16 1 16 x 1 = 1
2
3
8 1 8 x 1 = 8
2
2
4 0 4 x 0 = 0
2
1
2 1 2 x 1 = 2
2
0
1 0 1 x 0 = 0
90
10