Which number is the decimal equivalent of 1100110 – 101101? the number is the decimal equivalent of 1100110 – 101101. fill in the blank.

The answer is: 102 - 45 = 57.

Explanation:

To make this conversion we must use the following formula

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

= 102

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

The answer is: 102 - 45 = 57.

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