Question

Showing your work, convert these binary no. To decimal (a) 11111, (b) 101000

Answer 1

Explanation:

16 + 8 + 4 + 2 + 1 = 31. So, 31 is the decimal equivalent of the binary number 11111.

Answer 2

Answer:

(b) 101000 =

Decimal number -

40

Decimal from signed 2's complement -

N/A

Hex number -

28

Decimal calculation steps -

(101000)₂ = (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (0 × 2¹) + (0 × 2⁰) = (40)₁₀

(a) 11111 =

Decimal number -

31

Decimal from signed 2's complement -

N/A

Hex number -

1F

Decimal calculation steps -

(11111)₂ = (1 × 2⁴) + (1 × 2³) + (1 × 2²) + (1 × 2¹) + (1 × 2⁰) = (31)₁₀