Convert the following numbers to decimal a 1010 infinity 10

Convert the following numbers to decimal: a) 1010 infinity 10 1110 b) 30 4 H c) A D 6 Convert the following binary numbers to hexadecimal: a) 101 1101 b) 101010 1010 c) 1111 1111 1111 1 1110 Explain the difference between MSB and LSB

Solution

1. (101000101110)₂ = (2606)₁₀

(304)₁₆ = (772)₁₀

(AD6)₁₆ = (2774)₁₀

_2. (1011101)₂ = (5D)₁₆ = 5Dh

(1010101010)₂ = (2AA)₁₆ = 2AAh

(11111111111111110)₂ = (1FFFE)₁₆ = 1FFFEh

3. The MSB in a sequence of digits is the farthest from right (or first digit), the least significant bit is usually the one farthest from the left (or last digit).