Question

Multiply 6x4 and 9x7 by using binary numbers.

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Answer 1

Answer:

>>> 216

>>> 213-0

>>>

[1-1

Binary value of 6 : 110

>>> 214

>>> 212-0

>>> 11-0

Binary value of 4: 100

6 x 4 = 24

>>> 2124

>>> 21 12-0

>>> 216-0

>>> 213-0

>>>

Binary value of 24: 11000

110 x 100

= 11000

Decimal value :

6 x 4

= 24

Note that multiplying by numbers like 10, 100 and 1000 is very similar to working with base 10 numbers.

>>> 219

>>> 214-1

>>> 212-0

>>> 11-0

Binary value of 9: 1001

>>> 217

>>> 213-1

>>>

Binary value of 7: 111

9 x 7 = 63

>>> 21 63

>>> 2131-1

>>> 2115 - 1

>>> 217-1

>>> 213-1

>>> 1-1

Binary value of 63: 111111

1001 - 111

Decimal value:

9 x 7

= 63

Answer 2

Answer:

The pencil-and-paper method of binary multiplication is just like the pencil-and-paper method of decimal multiplication; the same algorithm applies, except binary numerals are manipulated instead. The way it works out though, binary multiplication is much simpler. The multiplier contains only 0s and 1s, so each multiplication step produces either zeros or a copy of the multiplicand. So binary multiplication is not multiplication at all — it’s just repeated binary addition!