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Number Base & Byte Inspector

Translate integer bases, signed widths, byte order, and floating-point bits.

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Input0 characters
Result0 characters
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Memory interpretation lab

The digits are data. Width and type give them meaning.

The same 32 bits can be an unsigned integer, a negative two’s-complement value, four ordered bytes, or an IEEE-754 float. State the interpretation before trusting the number.

Decimal

3,735,928,559

Hex

0xDEADBEEF

Binary · 32-bit

1101 1110 1010 1101 1011 1110 1110 1111

Bytes

DE AD BE EF

01 · Width before meaning

One bit pattern, two integer readings

8-bit16-bit32-bit64-bit

Unsigned

3,735,928,559

Signed · two’s complement

−559,038,737

Sign bit

31 · set

Unsigned max

4,294,967,295

Selecting a smaller width may discard high bits. DevSexy labels that truncation instead of silently changing the value.

02 · Address-by-address memory

Endianness reorders bytes, never the bits inside a byte.

+00+01+02+03
Big endian · MSB at the lowest addressDEADBEEF
Little endian · LSB at the lowest addressEFBEADDE

03 · IEEE-754 single precision anatomy

Interpret the same 32 bits as a floating-point value

S

1

Exponent

10111101

Fraction

10110101101111011101111

ZeroSubnormalNormalInfinityNaN
Class
Normal
Unbiased exponent
62
Significand
1.fraction
Value
≈ −6.2599 × 10¹⁸

04 · Practical reading recipes

Start from the format contract, not from a plausible-looking result.

Packet / hex dump

Locate field bytes → read the protocol width → apply the declared order → interpret signedness

Debugger watch

Copy bytes at increasing addresses → choose the C type width → compare logical and memory views

Modbus registers

Confirm register order separately from byte order; 32-bit devices may use mixed word layouts

Float sensor

Read exactly 4 or 8 bytes → apply wire order → decode IEEE-754 → check special classes

Run a reproducible example

Interpret the same bits under an explicit width, signedness, or IEEE-754 format.

Using an example replaces the current input, reference input, operation, and options. Public demonstration data only.

Read FF as signed eight-bit data

Hex input, eight-bit width, signed two’s complement, big endian.

Input

0xFF

FF is 255, outside the signed eight-bit range. The width-fit warning labels the low-bit interpretation as -1; unsigned interpretation gives 255.

Selected width: 8 bits
Signed (8-bit): -1
Width fit: no

Decode the float32 bits for one

IEEE-754 binary32, hexadecimal 0x3F800000, big-endian memory display.

Input

0x3F800000

The report gives value 1, including the sign, exponent, and fraction fields.

IEEE-754 binary32
Value: 1
Hex bits: 0x3F800000

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Repeat the task in DevSexy for Mac

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Direct answer

What is Number Base & Byte Inspector?

Convert numbers online across bases, signed widths, byte order, and IEEE-754 fields with exact integer handling and explicit interpretation choices.

What can it do?

  • Convert
  • Float bits

How to use Number Base & Byte Inspector

  1. 01

    Prepare the input

    Declare the source base and whether you mean an integer, bytes, or a float bit pattern.

  2. 02

    Choose the operation

    Set width, signedness, and memory byte order explicitly.

  3. 03

    Review the evidence

    Read width-fit warnings before accepting low-bit or wrapped interpretations.

Frequently asked questions

Why can FF mean -1 or 255?
At eight bits the pattern is identical. Unsigned interpretation gives 255; signed two’s-complement interpretation gives -1. Width and signedness are part of the contract.
Does byte order change the mathematical integer?
Byte order determines the memory byte display. It must match the external format when reading a byte sequence; it is separate from the chosen integer signedness.
Is float decoding the same as base conversion?
No. IEEE-754 assigns fields to sign, exponent, and fraction. The bit pattern 0x3F800000 represents float32 value 1, rather than its decimal integer interpretation.