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The binary number 10101 is equivalent to decimal number
- a)21
- b)13
- c)43
- d)51
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The binary number 10101 is equivalent to decimal numbera)21b)13c)43d)5...
10101 is the binary number to be converted to a decimal number.
To convert, multiply the numbers individually with 2n where n changes according to place value of the number.
(10101)2= (20× 1) + (0 × 21) + (1×22) + (0×23) + (1×24)
= 1 + 0 + 4 + 0 + 16
= 21
To convert, multiply the numbers individually with 2n where n changes according to place value of the number.
(10101)2= (20× 1) + (0 × 21) + (1×22) + (0×23) + (1×24)
= 1 + 0 + 4 + 0 + 16
= 21
Most Upvoted Answer
The binary number 10101 is equivalent to decimal numbera)21b)13c)43d)5...
Conversion from Binary to Decimal
To convert a binary number to a decimal number, we need to follow a simple process:
- Write down the binary number
- Multiply each digit of the binary number with 2 raised to the power of its position (starting from 0 for the rightmost digit)
- Add up all the products obtained in step 2
Example: Conversion of 10101 binary to decimal
Step 1: Write down the binary number 10101
Step 2: Multiply each digit of the binary number with 2 raised to the power of its position
1 0 1 0 1
2^4 2^3 2^2 2^1 2^0
16 0 4 0 1
Step 3: Add up all the products obtained in step 2
16 + 0 + 4 + 0 + 1 = 21
Therefore, the binary number 10101 is equivalent to the decimal number 21.
Answer: Option A (21)
To convert a binary number to a decimal number, we need to follow a simple process:
- Write down the binary number
- Multiply each digit of the binary number with 2 raised to the power of its position (starting from 0 for the rightmost digit)
- Add up all the products obtained in step 2
Example: Conversion of 10101 binary to decimal
Step 1: Write down the binary number 10101
Step 2: Multiply each digit of the binary number with 2 raised to the power of its position
1 0 1 0 1
2^4 2^3 2^2 2^1 2^0
16 0 4 0 1
Step 3: Add up all the products obtained in step 2
16 + 0 + 4 + 0 + 1 = 21
Therefore, the binary number 10101 is equivalent to the decimal number 21.
Answer: Option A (21)
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The binary number 10101 is equivalent to decimal numbera)21b)13c)43d)5...
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The binary number 10101 is equivalent to decimal numbera)21b)13c)43d)51Correct answer is option 'A'. Can you explain this answer?
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