Convert the value of the following binary numbers to hexadecimal notation. (Note: this question has 2 parts; you must answer each part correctly to receive full marks. Do not include spaces, commas or subscripts in your answer.)

a. 11012 =

b. 111011102 =

Explanation: Where binary numbers are made up of 0s and 1s, numbers in hexadecimal (base 16) contains digits from 0 to 9 as well as letters from A to F. Any number gotten from applying the placeholders (8,4,2,1) that is above 9 is changed into letters. Thus: 10 = A; 11 = B; 12 = C; 13 = D; 14 = E & 15 = F

Solving the question, we split the binaries groups of fours while adding 0s from the left hand side of incomplete groups of four to make it up to four.

I would place the placeholders in brackets for example 1 (8) should be read as "number of 8s is 1; 0 (2) as " number of 2s is 0"

1. 1101 in base to to base 16 = 1 (8) 1 (4) 0 (2) 1 (1)

= 8 + 4 + 0 + 1 = 13 = D

Therefore, 1101 base 2 is D in hexadecimal

2. 11101110 = 1110 & 1110 {group of four}

1110 = 1 (8) 1 (4) 1 (2) 0 (1)

= 8 + 4 + 2 + 0 = 14 = E

Therefore, 11101110 base 2 = EE in hexadecimal