3 Mark Questions

Computer Science - Class 11
Chapter 2 Class 11 - Encoding Schemes and Number System

## (b) Binary

1C6A 16

1. Decimal

1C6A 16 = 1 x 16 3 + 12 x 16 2 + 6 x 16 1 + 10 x 16 0

= 4096 + 3072 + 96 + 10

= 7274 10

Explanation:

• To obtain the decimal equivalent of a hexadecimal number, individual digits of hexadecimal number should be multiplied by powers of 16 starting with rightmost digit multiplied by 16 0 , second last digit multiplied by 16 1 , third last digit multiplied by 16 2 and so on up to the leftmost digit.
• For digits after the decimal point, the leftmost digit should be multiplied by 16 -1 and the next digit by 16 -2 and so on up to the rightmost digit.
• For alphabets A to F, the corresponding codes should be multiplied with the respective power of 16.

Here,

• A = 10
• B = 11
• C = 12
• D = 13
• E = 14
• F = 15

b. Binary

1C6A 16

 1 C 6 A 0001 1100 0110 1010

Therefore, 1C6A 10 = 0001110001101010 2

Explanation:

• To obtain the binary equivalent of a hexadecimal number, individual digits of the hexadecimal number should be converted to binary in groups of four digits as given in the table below. Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class 