Intro to Computing - How Data is Represented
Given the binary number
1010 1101, what is the decimal and hexadecimal equivalent?Given the binary number 1010 1101, what is the decimal and hexadecimal equivalent?
hard📝 Application Q9 of 15
Step-by-Step Solution
Solution:
Step 1: Convert binary to decimal
Bits set: 1x128 + 0 + 1x32 + 0 + 1x8 + 1x4 + 0 + 1x1 = 128 + 32 + 8 + 4 + 1 = 173.Step 2: Convert binary to hexadecimal
Split into nibbles: 1010 = A, 1101 = D, so hex is AD.Final Answer:
Decimal: 173, Hex: AD -> Option AQuick Check:
Binary 10101101 = Decimal 173, Hex AD [OK]
Quick Trick: Split bits in 4 for hex, sum powers for decimal [OK]
Common Mistakes:
- Mixing nibble order
- Incorrect decimal addition
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