Samuel is working on decimal and binary conversion for his college project. He is using the binary number 111011 and wants to explain its conversion to the decimal number 59. Which formula will Samuel use to explain the conversion?

Question

Marianna Gill

Computers & Technology

7 February, 17:11

Samuel is working on decimal and binary conversion for his college project. He is using the binary number 111011 and wants to explain its conversion to the decimal number 59. Which formula will Samuel use to explain the conversion?

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Answers (1)

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Keagan · Answer 1

The decimal number is equal to the sum of the binary digits times their power of 2; (2^n).

For 111011

1*2^ (5) + 1*2^ (4) + 1*2^ (3) + 0*2^ (2) + 1*2^ (1) + 1*2^ (0) = 59

32 + 16 + 8 + 0 + 2 + 1 = 59