FP8 E4M3 Value Decode

Problem

Decode an 8-bit FP8 E4M3 value into its real number. The layout is 1 sign bit, 4 exponent bits with bias 7, and 3 mantissa bits; subnormals use 2^-6 with no implicit leading 1, and the code 0x7F is NaN. Return the decoded float for the integer bit pattern bits.

The signature is fp8_e4m3_decode(bits).

Hint

The exponent bias is 7 and the largest E4M3 magnitude is 448.

Test cases

case 1

in: [0]

expected: 0

case 2

in: [56]

expected: 1

case 3

in: [60]

expected: 1.5

case 4

in: [1]

expected: 0.001953125

case 5

in: [184]

expected: -1

Starter codePython

def fp8_e4m3_decode(bits):
    # Your code here
    pass

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