Convert 1C6A 16 to
(a) Decimal
(b) Binary
Answer:
1C6A 16
- 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.
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