Just like decimal multiplication, binary multiplication could also be converted as adding a series of numbers.

Just like decimal multiplication, binary multiplication could also be converted as adding a series of numbers. For example, 210×310 = 210+210+210 in decimal number system, similarly, in binary number system 102 x 112 = 102 (shift left by 1 bit) + 102, meaning 102 times 2 then adds with 102 again. Using this method, solve the following binary multiplication, make sure to write detailed BINARY calculation steps:

a.) 10102 × 1102 

b.) 101102 × 10012