Question

Do the binary numbers 0011 and 000011 have the same or different values? Explain

Answer 1

Answer:

system has two symbols: 0 and 1 , called bits. ... 0011 0100 0011 0001 1101 0001 1000 B , which is the same as hexadecimal B343 1D18H ) ... Example 1: Suppose that n=8 and the binary pattern is 0100 0001 B , the value of this unsigned integer is 1×2^0 ... An n-bit pattern can represent 2^n distinct integers.

Explanation:

Answer 2

Using binary to decimal conversions, it is found that the answer is that the binary numbers 0011 and 000011 have the same values.

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Here, conversion between binary and decimal is explained, which are used to find the answer.

• The conversion starts from the last bits, that is, the least significant bits.
• As the conversion gets closer to the first bit, that is, the most significant bit, the weight of 2, that is, the exponent increases, as we are going to see.

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The conversion of 0011 to decimal is:

$(0011)_2 = 1 \times 2^0 + 1 \times 2^1 + 0 \times 2^2 + 0 \times 2^3 = 1 + 2 + 0 + 0 = 3$

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The conversion of 000011 to decimal is:

$(000011)_2 = 1 \times 2^0 + 1 \times 2^1 + 0 \times 2^2 + 0 \times 2^3 + 0 \times 2^4 + 0 \times 2^5 = 1 + 2 + 0 + 0 + 0 + 0 = 3$

In both cases, the decimal equivalent is 3, thus, they represent the same value.

A similar problem is given at https://brainly.com/question/7978210