Use the following binary conversion table to convert the byte 00000000 into a decimal value

General
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use the following binary conversion table to convert the byte 00000000 into a decimal value.

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How do you convert the byte 00000000 into a decimal value?

Answer: To convert the binary byte 00000000 into a decimal value, you can use the binary positional values as shown in the following table:

Binary 128 64 32 16 8 4 2 1
Bit 0 0 0 0 0 0 0 0

In binary, each position represents a power of 2, starting from the right:

  • The rightmost bit represents 2^0 (1),
  • the next bit to the left is 2^1 (2),
  • 2^2 (4), and so on,
  • up to 2^7 (128).

In the byte 00000000, all bits are set to 0.

Here’s how you convert it step-by-step:

  1. Start from the leftmost bit (128) to the rightmost bit (1).
  2. Multiply each bit by its positional value if it’s set to 1.
  3. Add up all these values.

Since all the bits are 0, the calculation is simple:

0 \times 128 + 0 \times 64 + 0 \times 32 + 0 \times 16 + 0 \times 8 + 0 \times 4 + 0 \times 2 + 0 \times 1 = 0

Therefore, the decimal value of the binary byte 00000000 is 0.

Summary: The binary byte 00000000 converts to the decimal value 0 because all corresponding binary bit values are 0.