Question:
The binary number expression of the decimal number 31 is:
दशमलव संख्या 31 की द्विआधारी (binary) संख्या अभिव्यक्ति है:
Options:
- 1111
- 10111
- 11011
- 11111
- 1111
- 10111
- 11011
- 11111
Correct Answer: d)
Explanation:
To convert 31 to binary by repeated division by 2:
31 / 2 = 15 remainder 1
15 / 2 = 7 remainder 1
7 / 2 = 3 remainder 1
3 / 2 = 1 remainder 1
1 / 2 = 0 remainder 1
Reading remainders from bottom to top: \(11111_2\).
Alternatively: \(31 = 2^5 – 1 = 11111_2\).
Hence, the correct option is (d).
दशमलव संख्या 31 को द्विआधारी में बदलने पर:
\(31 = 16 + 8 + 4 + 2 + 1 = 2^4 + 2^3 + 2^2 + 2^1 + 2^0 = 11111_2\)।
अतः सही विकल्प (d) है।