IEEE 754 Floating Point Converter

Convert between decimal numbers and IEEE 754 floating-point representation with bit structure visualization

Bit Structure

0
1
0
0
0
0
0
1
1
1
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
Sign (1 bit)Exponent (8 bits)Mantissa (23 bits)
Sign

0 (+)

Exponent

131 (bias 127)

Mantissa

1 + 0.59375

Value

25.5

Formula

(-1)^0 × 2^(131-127) × 1.59375

Hex

0x41CC0000

Binary

01000001110011000000000000000000

Modbus Registers

Reg[0]

0x41CC (16844)

Reg[1]

0x0000 (0)

This tool is provided for reference only and does not constitute engineering advice. Users should independently verify all results. We assume no liability for any damages arising from the use of this tool.