The answer of the operation (10111)₂ * (1110)₂ in hex equivalence is

2009

The answer of the operation (10111)₂ * (1110)₂ in hex equivalence is

  1. A.

    150

  2. B.

    241

  3. C.

    142

  4. D.

    101011110

Attempted by 46 students.

Show answer & explanation

Correct answer: C

To find the hexadecimal equivalent of (10111)₂ * (1110)₂, first convert each binary number to decimal. The binary 10111 equals (1*16) + (0*8) + (1*4) + (1*2) + (1*1), which sums to 23. Similarly, binary 1110 equals (1*8) + (1*4) + (1*2) + (0*1), which equals 14. Multiplying these decimal values gives 23 * 14 = 322. Next, convert the product 322 to hexadecimal by dividing by 16: 322 divided by 16 is 20 with a remainder of 2. Then, divide the quotient 20 by 16 to get 1 with a remainder of 4. Reading the remainders in reverse order yields (142)₁₆. Option C is correct because it matches this calculated result. Option A (150) and Option B (241) are incorrect as they do not match the product of 322. Option D represents a binary string rather than a hexadecimal value.

A video solution is available for this question — log in and enroll to watch it.

Explore the full course: Nta Ugc Net Paper 1