Convert the following numbers in the given base to decimal equivalents:

acapotivigl 2022-09-13 Answered
Convert the following numbers in the given base to decimal equivalents:
1) 174053 8 into decimal
2) 10110101 2 into decimal
3) 34 8 into decimal
4) 1011 2 into decimal
5) F B 3 D 16 into decimal
6) 3 E 16 into decimal
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Answers (2)

Raphael Singleton
Answered 2022-09-14 Author has 19 answers
Step 1
Convert the following numbers Base to decimal equivalent
1) ( 174053 ) 8 1 × 8 5 + 7 × 8 4 + 4 × 8 3 + 0 × 8 2 + 5 × 8 1 + 3 × 8 0 32768 + 28672 + 2048 + 0 + 40 + 3 ( 174053 ) 8 = ( 63531 ) 10
2) 10110101 2 1 × 2 7 + 0 × 2 6 + 1 × 2 5 + 1 × 2 4 + 1 × 2 2 + 0 × 2 1 + 1 × 2 0 128 + 0 + 32 + 16 + 4 + 0 + 1 = 181 ( 10110101 ) 2 = ( 181 ) 10
3) ( 34 ) 8 3 × 8 1 + 4 × 8 0 24 + 4 = 28 ( 34 ) 8 = ( 28 ) 10

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Ciolan3u
Answered 2022-09-15 Author has 2 answers
Step 1
4) ( 1011 ) 2 1 × 2 3 + 0 × 2 2 + 1 × 2 1 + 1 × 2 0 8 + 0 + 2 + 1 11 ( 1011 ) 2 = ( 11 ) 10
5) F B 3 D 16 F × 16 3 + B × 16 2 + 3 × 16 1 + D × 16 0 61440 + 2816 + 48 + 13 64317 ( F B 3 D ) 16 = ( 64317 ) 10
6) 3 E 16 3 × 16 1 + E × 16 0 48 + 14 62 ( 3 E ) 16 = ( 62 ) 10

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