Page 32 - DCAP101_BASIC_COMPUTER_SKILLS

Unit 2: Introduction to Data Representations

Step 2: Multiply the column values by the corressponding column digits Notes
512 64 8 1
x 4 x 7 x 0 x 6
2048 448 0 6

Step 3: Sum up the products

2048 + 448 + 0 + 6 = 2502
Hence, 4706 = 2502
8 10
3: 1AC = ?
16 10
2
1AC =1 x 16 + A x 161 + C x 16 0
16
=1 x 256 + 10 x 16 + 12 x 1
=256 +160 +12
=428
10
4: 4052 =?
7 10
2
1
3
4052 = 4 x 7 + 0 x 7 + 5 x 7 + 2 x 7 0
7
= 4 x 343 + 0 x 49 + 5 x 7 +2 x 1
= 1372 + 0 + 35 + 2 = 1409
10
5: 4052 =?
6 10
2
3
1
4052 = 4 x 6 + 0 x 6 + 5 x 6 + 2 x 6 0
6
= 4 x 216 + 0 x 36 + 5 x 6 +2 x 1
= 864 + 0 + 30 +2
= 896
10
Comparing this results with the result obtained in Example 4, we find
that although the digits (4052) are the same for both the numbers, their
decimal equivalents are different. This is decause the number system,
whereas the number in Example 5 is represented in base 6 number
system.

6: 11001
4
1
2
4
3
11001 = 1 x 4 +1 x 4 + 0 x 4 +1 x 4 + l x 4 0
4
= 1 x 256 + 1 x 64 + 0 x 16 + 0 x 4 + l x l
= 256 + 64 + 0 + 0 + 1
= 321
10
Compare the result with the result obtained in Example 1.

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