FP8 E5M2 Value Decode

Problem

Decode an 8-bit FP8 E5M2 value. The layout is 1 sign bit, 5 exponent bits with bias 15, and 2 mantissa bits; subnormals use 2^-14 with no implicit leading 1. Return the decoded float for the integer bit pattern bits.

The signature is fp8_e5m2_decode(bits).

Hint

E5M2 trades mantissa bits for exponent range compared with E4M3.

Test cases

case 1

in: [0]

expected: 0

case 2

in: [56]

expected: 0.5

case 3

in: [80]

expected: 32

case 4

in: [1]

expected: 0.0000152587890625

case 5

in: [192]

expected: -2

Starter codePython

def fp8_e5m2_decode(bits):
    # Your code here
    pass

5 test cases · run your code against them in the editor