Page 14 - DCAP108_DIGITAL_CIRCUITS_AND_LOGIC_DESIGNS

Unit 1: Number Systems

Step 2: Multiply the obtained column values (in Step 1) by the digits in the corresponding columns. Notes
Step 3: Sum up the products calculated in Step 2. The total is the equivalent value in decimal.

11001 = ?10
2
Solution:

Step 1: Determine column values
Column Number Column (From Right)
2 = 1
0
1 2 = 2
1
2 2 = 4
2
3 2 = 8
3
4 2 =16
4
Step 2: Multiply the column values by the corresponding column digits
16 8 4 2 1
*1 *1 *0 *0 *1
16 8 0 0 1

Step 3: Sum up the products

16+8+0+0+1=25
Hence, 11001 =25
2 10

4706 =?
8 10
Solution:
Step 1: Determine column values

Column Number Column
(From Right)
1 8 = 1
0
2 8 = 8
1
3 8 = 64
2
4 8 = 512
3
Step 2: Multiply the column values by the corressponding column digits

512 64 8 1
* 4 * 7 * 0 * 6
2048 448 0 6

Step 3: Sum up the products
2048 + 448 + 0 + 6 = 2502
Hence, 4706 = 2502
8 10

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