The document provides a detailed explanation on converting binary numbers to decimal format, including several examples and calculations. It demonstrates how to convert both whole and fractional binary numbers into their decimal equivalents. Various binary numbers like (1010111) and (10011100) are included in the conversion examples.

1. ‫النظام‬ ‫من‬ ‫التحويل‬‫الثنائى‬
‫النظام‬ ‫إىل‬‫العشرى‬
AHMED MOHAMED ACADEMY

2. Convert from Binary to Decimal
1- (1010111) 2
11011 0 1
22222 2 26 012345
1401664 0 2
87
(1010111) = (87)2 10
+ + ++++

3. Convert from Binary to Decimal
2- (10011100)2
01110 0 0
22222 2 26 012345
048160 0 0
156
(10011100) = (156)2 10
1
27
128 + + ++++ +

4. Convert from Binary to Decimal
3- (10100.101)2
11000 1 0
22222 2 23 3-2-1-012
.125.5000 4 0
20
(10100) = (20)2 10
1
24
16
.625
(.101) = (.625)2 10
(10100.101) = (20.625)2 10
+ + ++ ++

5. Convert from Binary to Decimal
1. (10011011)2
2. (10100)2
3. (10001000)2
4. (1110011.01)2
5. (10011011)2
6. (10110100.11)2
7. (11110000.101)2