Question
Download Solution PDFWhat is the decimal equivalent number of binary number 101101?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is option 1): 45
Concept:
To convert the binary number 101101 to decimal, follow these two steps:
- Start from one's place in 101101: multiply one place with 2^0, tens place with 2^1, hundreds place with 2^2 and so on from right to left
- Add all the products we got from step 1 to get the decimal equivalent of 101101. Using the above steps, here is the work involved in the solution for converting 101101 to a decimal number (Don't forget that we start from one place to so on...)
- Decimal equivalent of "1" = 1 × 2^0 = 1
- Decimal equivalent of "0" = 0 × 2^1 = 0
- Decimal equivalent of "1" = 1 × 2^2 = 4
- Decimal equivalent of "1" = 1 × 2^3 = 8
- Decimal equivalent of "0" = 0 × 2^4 = 0
- Decimal equivalent of "1" = 1 × 2^5 = 32
- The decimal equivalent of "101101" = 45
- Here is the final answer, The binary number 1011012 converted to decimal is therefore equal 4510
Last updated on Jul 18, 2025
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