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The decimal equivalent of the binary number (1101)2 is
- a)9
- b)11
- c)13
- d)15
Correct answer is option 'C'. Can you explain this answer?
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The decimal equivalent of the binary number (1101)2 isa)9b)11c)13d)15C...
Converting Binary to Decimal:
To convert a binary number to a decimal number, you can use the positional notation system. Each digit in a binary number represents a power of 2, starting from 2^0 on the rightmost digit.
Binary Number (1101)2:
In the binary number (1101)2, from right to left:
- The rightmost digit is 1 * 2^0 = 1
- The next digit is 0 * 2^1 = 0
- The next digit is 1 * 2^2 = 4
- The leftmost digit is 1 * 2^3 = 8
Calculating Decimal Equivalent:
To find the decimal equivalent, add up the values of each digit:
1 + 0 + 4 + 8 = 13
Therefore, the decimal equivalent of the binary number (1101)2 is 13.
So, the correct answer is option 'C'.
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Community Answer
The decimal equivalent of the binary number (1101)2 isa)9b)11c)13d)15C...
The correct answer is 13.
Step by step solution:
- Step 1: Write down the binary number: 1101
- Step 2: Multiply each digit of the binary number by the corresponding power of two: 1x23 + 1x22 + 0x21 + 1x20
- Step 3: Solve the powers: 1x8 + 1x4 + 0x2 + 1x1 = 8 + 4 + 0 + 1
- Step 4: Add up the numbers written above: 8 + 4 + 0 + 1 = 13
- So, (1101)2 = (13)10
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The decimal equivalent of the binary number (1101)2 isa)9b)11c)13d)15Correct answer is option 'C'. Can you explain this answer?
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