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Arte-miy333 [17]
3 years ago
13

Which number is the decimal equivalent of 1100110 – 101101?

Computers and Technology
2 answers:
alina1380 [7]3 years ago
8 0

Answer:

<em><u>The answer is</u></em>: <u>102 - 45 = 57.</u>

<u />

Explanation:

<u>To make this conversion we must use the following formula </u>

If we have a bn-1 binary number .... b1b0 we must multiply each box by its power of 2

Decimal = b0 * 2 b0 + .... bn-1 * 2 bn-1

a.- In this case for binary 1100110

+ 0 * 26 + 1 * 25 + 1 * 24 + 0 * 23 + 0 * 22 + 1 * 21 + 1 * 20 = + 0 * 1 + 1 * 2 + 1 * 4 + 0 * 8 + 0 * 16 + 1 * 32 + 1 * 64

= + 2 + 4 + 32 + 64

= <u>102 </u>

b.- In this case for binary 101101

+ 1 * 25 + 0 * 24 + 1 * 23 + 1 * 22 + 0 * 21 + 1 * 20 = + 1 * 1 + 0 * 2 + 1 * 4 + 1 * 8 + 0 * 16 + 1 * 32

= + 1 + 4 + 8 + 32

= 45

<em><u>The answer is</u></em>: <u>102 - 45 = 57.</u>

erastovalidia [21]3 years ago
3 0

1100110-101101 = 111001 = 57

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