Page 28 - Computer Class 06

Example 2 : (127) = (1010111) Step 2 : (87) = (1010111) 2
10
8 2
Step 1 : (127) = (87) 10 2 87 1
8
2 43
1 2 7 1
8 2 8 1 8 0 2 21 1
10
2
64 + 8 + 1 0
2 5
(1×64)+(2×8)+(7×1) 1
2 2 0
64 + 16 + 7 1
= 87
Answer : (127) = (87) = (1010111) 2
10
8
Conversion from Decimal to Hexadecimal Number System

Rules :

1. Divide the number by 16.

2. Get the integer quotient for the next integer.
3. Get the remainder for the hex digit.

4. Repeat the steps until the quotient is equal to 0.

Equivalent binary number is obtained by writing sequence of remainders
starting from bottom to top.

Example 1 : (74) = (4A) 16 Example 2 : (110) = (6E) 16
10
10
16 74 16 110

4 10 (A) 6 14 (E)

Conversion from Hexadecimal to Decimal Number System
Rules :

1. Multiply each digit of the hexadecimal number starting from right to left by 160,
161, 162- - - - - -- respectively.

2. Sum up all the products to get result.

Example 1 : (4A) = (74) Example 2 : (1C7) = (455)
16 10 16 10
4 A (10) 1 C (12) 7 0
2
1
16 1 16 0 16 16 16
256 16 1
16 1
(1x256)+(12x16)+(7x1)
(4x16)+(10x1)
256 + 192 + 7
64 + 10 = 74
= 455

Computer-6 28 Computer-1