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worty [1.4K]
4 years ago
12

What is $1000000_{16} - 8D6A7B_{16}$ in base 16?

Mathematics
1 answer:
Nataly_w [17]4 years ago
7 0

Answer:

729585

Step-by-step explanation:

1,000,000_{16}-8D6A7B_{16}

Because it's difficult to show long subtraction here, we can instead convert both numbers to base 10 first, subtract regularly, and then convert back.

1,000,000_{16}=1\cdot 16^6=16,777,216_{10} \\\\8D6A7B_{16}=8\cdot 16^5+ 13\cdot 16^4 + 6\cdot 16^3 + 10\cdot 16^2 +7\cdot 16 + 11=

8388608+851968+24576+2560+112+11=9,267,835_{10}

Subtracting one from another, you end up with 7,509,381 in base 10, or 729585 in base 16. Hope this helps!

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