Convert binary 100 to decimal.
Understand the Problem
The question is asking to convert a binary number, specifically '100', into its decimal equivalent. This involves understanding the base-2 system and how to calculate the value of binary digits.
Answer
4
Answer for screen readers
The final answer is 4
Steps to Solve
- Identify each digit and its position in the binary number
Binary digits (bits) are powers of 2, starting from the right with $2^0$. For the binary number '100':
[ 1\cdot2^2 + 0\cdot2^1 + 0\cdot2^0 ]
- Calculate the value of each bit
Calculate the value of each bit in its position:
[ 1\cdot2^2 = 4 ] [ 0\cdot2^1 = 0 ] [ 0\cdot2^0 = 0 ]
- Sum the values of each position
Add the values calculated in the previous step:
[ 4 + 0 + 0 = 4 ]
The final answer is 4
More Information
Binary numbers use base-2, meaning each digit represents a power of 2. The binary number '100' translates to the decimal number 4.
Tips
A common mistake is to start counting the position from the left instead of the right. Remember that the rightmost bit is always $2^0$.
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