QQuestionMathematics
QuestionMathematics
Convert binary 1111010 to a decimal number. Show calculations.
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Answer
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Step 1:: Understand the problem
We are given a binary number 1111010 and asked to convert it to a decimal number.
Step 2:: Write down the binary number with powers of 2
To convert a binary number to a decimal number, we need to multiply each digit in the binary number by its corresponding power of 2, starting from 0 on the right and increasing by 1 as we move to the left. 1111010
Step 3:: Calculate the decimal number
Now, let's calculate the decimal number by summing up the products obtained in Step 2: Decimal number = (1 × 2^6) + (1 × 2^5) + (1 × 2^4) + (1 × 2^1) + (0 × 2^0)
Step 4:: Simplify the expression
Now, let's simplify the expression by calculating the powers of 2: Decimal number = (1 × 64) + (1 × 32) + (1 × 16) + (1 × 2) + (0 × 1)
Step 5:: Perform the calculations
Now, let's calculate the decimal number: Decimal number = 64 + 32 + 16 + 2
Step 6:: Simplify the expression
Now, let's simplify the expression by calculating the sum: Decimal number = 114
Final Answer
The decimal equivalent of binary 1111010 is 114.
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