Exam-style question
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Convert the 7-bit unsigned binary number 1100101 to decimal. Show the place values used in your working.
Model answer
What a good answer should say
- 1100101 = 64 + 32 + 4 + 1 = 101, so the decimal value is 101.
Explanation
Why this works
For 7 bits, the place values from left to right are 64, 32, 16, 8, 4, 2 and 1. The 1s occur in the 64, 32, 4 and 1 positions.
Adding these gives 101.
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