Write each of the following numerals in base 10. For base twelve, T and E represent the face values ten and eleven, respective
ly.
a. 122 Subscript five
b. 11001 Subscript two
c. 16 Upper T Subscript twelve
Please show work!
1 answer:
Answer:
a. 37
b. 25
c. 226
Step-by-step explanation:
Place value has the same meaning in any other number base that it has in base 10. Using expanded form is one way to do the required base conversion.
a. 122₅ = 1×5² +2×5¹ +2×5⁰
= 25 +10 +2 = 37
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b. 11001₂ = 1×2⁴ +1×2³ +0×2² +0×2¹ +1×2⁰
= 16 +8 + 1 = 25
__
c. 16T₁₂ = 1×12² +6×12¹ +10×12⁰
= 144 +72 +10 = 226
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